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#REDIRECT [[DCL-14-051, Attachment 4, Areva Calculation No. 32-9221080-001 Diablo Canyon, Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis - Non Proprietary]]
| number = ML14171A238
| issue date = 05/29/2014
| title = Attachment 4, Areva Calculation No. 32-9221080-001 Diablo Canyon, Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis - Non Proprietary
| author name = Noronha S J
| author affiliation = AREVA
| addressee name =
| addressee affiliation = NRC/RGN-IV
| docket = 05000323
| license number =
| contact person =
| case reference number = DCL-14-051
| document report number = 32-9221080-001
| package number = ML14171A236
| document type = Calculation
| page count = 61
}}
 
=Text=
{{#Wiki_filter:Attachments 1 and 2 to the Enclosure contain Proprietary Information
-Withhold Under 10 CFR 2.390Attachment 4PG&E Letter DCL-14-051 AREVA Calculation No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief NozzlesLaminar/Planar Flaw Analysis
-Non Proprietary Attachments 1 and 2 to the Enclosure contain Proprietary Information When separated from Attachments 1 and 2, this document is decontrolled.
Controlled Document402-01-FOl (Rev. 018, 01/31/2014)
A CALCULATION SUMMARY SHEET (CSS)AREVADocument No. 32 -9221080 -001 Safety Related:
M Yes E NoDiablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Title Non Proprietary PURPOSE AND SUMMARY OF RESULTS:PurposeAn inservice inspection of Diablo Canyon Power Plant (DCPP) Unit 2 overlaid Pressurizer (PZR) Safety nozzlesrevealed the existence of indications.
The indications are described in the Diablo Canyon Power Plant DesignInput Transmittal (DIT) summarized in Reference
[1]. Previous disposition of all reported laminar and planarindications per the rules of the acceptance standards Table IWB-3514-3 of ASME B&PV Code Section XI [2] andSection III [3] are documented in References
[4] and [5]. The purpose of this document is to validate that theacceptance standards under IWB-3500 remain valid after any potential crack growth.This document analyzes the indications for the remaining 38 years of plant operation.
The indications are allembedded within the body of the weld overlay and nozzle. Therefore, no primary water stress corrosion crackgrowth would occur. The only mechanism by which indications could grow is fatigue crack growth. In thisdocument crack growth of postulated flaws and evaluation of the final flaw sizes in accordance with the rules ofASME B&PV Code Section XI [2] and Section III [3] are performed.
Reference
[6] Section 4.6, item 3 states thatthe applicable ASME Code year is 2004 with addenda through 2005.This document is the Non-Proprietary document of 32-9215965-002.
The purpose of Revision 001 is to address NDE flaw size measurement uncertainty.
Summary of ResultsThe final crack sizes for all laminar flaw cases are summarized in Table 7-5. The flaw area evaluation and overlaylength evaluation are performed in Table 7-6 and Table 7-7, respectively.
The final flaw size of the planar flaw isshown in Table 7-8 and the flaw evaluation is summarized in Table 7-10. It is concluded that all laminar andplanar flaws meet the acceptance criteria of Section XI the ASME Code [2] for the 38 years of plant operation.
Measurements uncertainty is addressed in Appendix C. Tables C-1 through C-3 show the results of evaluation.
Thus, it is concluded that even with uncertainty considerations the laminar indications in all three nozzles will notimpact the integrity of the SWOL for 38 years of plant operation.
THE DOCUMENT CONTAINSASSUMPTIONS THAT SHALL BETHE FOLLOWING COMPUTER CODES HAVE BEEN USED IN THIS DOCUMENT:
VERIFIED PRIOR TO USECODENERSION/REV CODENERSION/REV F-1DYESAREVACGC 5.0 NOANSYS 14.0Page 1 of 60 Controlled DocumeRnt A 402-01-FOI (Rev. 018, 01/31/2014)
ARE VA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Review Method: [j Design Review (Detailed Check)[I Alternate Calculation Signature BlockP/RIAName and Title and Pages/Sections (printed or typed) Signature LP/IR Date Prepared/Reviewed/Approved Silvester J. Noronha P 1Ili.AllPrincipal EngineerAshok D. Nana R7>,,-7 R AllSupervisory Engineer q-I. '__- .-Tim M. Wiger A AllEngineering Manager A 4AlNote: P/R/A designates Preparer (P), Reviewer (R), Approver (A);LP/LR designates Lead Preparer (LP), Lead Reviewer (LR)Project Manager Approval of Customer References (N/A if not applicable)
Name Title(printed or typed) (printed or typed) Signature DateN/A N/A NIA N/AMentoring Information (not required per 0402-01)Name Title Mentor to:(printed or typed) (printed or typed) (P/R) Signature DateN/A N/A N/A N/A N/APage 2 Controlled DocumentAAR EVA402-01-FOl (Rev. 018, 01/31/2014)
Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Record of RevisionRevision PageslSectionslParagraphs No. Changed Brief Description
/ Change Authorization 000 All Original Release001 Page l Added purpose and Summary for Rev 001.Appendix A Added Appendix AAppendix B Added Appendix BAppendix C Added Appendix CPage 3 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table of ContentsPageSIG NATURE BLO CK ................................................................................................................................
2RECO R D O F REVISIO N ..........................................................................................................................
3LIST O F TABLES .....................................................................................................................................
6LIST O F FIG URES ...................................................................................................................................
71.0 INTRO DUCTIO N ...........................................................................................................................
82.0 A NA LYTICAL M ETHO DO LO G Y ...............................................................................................
82.1 Lam inar Flaw Analysis
............................................................................................................
92.1.1 Lam inar Flaw Stress Intensity Factor Solutions
............................................................
92.1.2 Lam inar Flaw Fatigue Crack Growth Calculation
.......................................................
102.1.3 Lam inar Flaw Evaluation
.............................................................................................
112.1.4 M inim um Required Overlay Length Calculations
.......................................................
112.2 Planar Flaw Analysis
......................................................................................................................
122.2.1 Planar Circumferential Flaw .........................................................................................
122.2.2 Flaw Growth Analysis
-Planar Flaw ...........................................................................
142.2.3 Planar Flaw Evaluation
...............................................................................................
142.3 List of Abbreviation and Param eters ........................................................................................
153.0 ASSUM PTIO NS ..........................................................................................................................
173.1 Unverified Assum ptions ..................................................................................................................
173.2 Justified Assum ptions .....................................................................................................................
173.3 Modeling Sim plifications
............................................................................................................
173.4 Engineering Judgm ent ...................................................................................................................
174.0 DESIG N INPUTS ........................................................................................................................
184 .1 G e o m e try ........................................................................................................................................
1 84 .2 M a te ria l ...........................................................................................................................................
2 44.3 External Loads ...............................................................................................................................
244.4 Operating Stresses
.........................................................................................................................
244.5 Operating Tem peratures
...........................................................................................................
294.6 Residual Stresses
..........................................................................................................................
294.7 Fatigue Crack Growth Laws .......................................................................................................
304.7.1 [ ] -FSW OL ....................................................................................
314.7.2 Low-Alloy Steel -Nozzle .............................................................................................
325.0 CO M PUTER USAG E ..................................................................................................................
335.1 Software and Hardware
..................................................................................................................
33Page 4 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table of Contents(continued)
Page5 .2 C o m p ute r F ile s ...............................................................................................................................
3 36.0 CALCULATIO NS .........................................................................................................................
346.1 [ ] -FSW OL ..........................................................................................................
346.2 Low-Alloy Steel -Nozzle ............................................................................................................
357 .0 R E S U L T S ....................................................................................................................................
3 67 .1 L a m in a r F la w s ................................................................................................................................
3 67.1.1 Laminar Flaw Fatigue Crack Growth Analysis
.............................................................
367.1.2 Laminar Flaw Evaluation
............................................................................................
427 .2 P la n a r In d ic a tio n s ...........................................................................................................................
4 47.2.1 Nozzle A Circumferential Flaw Fatigue Crack Growth Analysis
..................................
447.2.2 Nozzle A Circumferential Final Flaw Evaluation
..........................................................
458.0 SUM MARY O F RESULTS ..........................................................................................................
4
 
==79.0 REFERENCES==
 
............................................................................................................................
48APPENDIX A: STRESSES FOR SAFETY NOZZLE WOL FRACTURE MECHANICS ANALYSIS FORO U T A G E 2 R 17 ...........................................................................................................................
5 0APPENDIX B: WELD RESIDUAL STRESSES FOR SAFETY NOZZLE WOL FRACTURE MECHANICS ANALYSIS FOR OUTAGE 2R17 ..........................................................................................
55APPENDIX C : FLAW SIZE UNCERTAINTY CONSIDERA TION ....................................................................
58Page 5 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary List of TablesPageTable 4-1: Dimensions of laminar flaws for SIF Calculation
.............................................................
23T a ble 4-2 : T able of M ate rials .................................................................................................................
24Table 4-3: PZR Safety Nozzle Sustained Loading Conditions at Safe End [5] ................
24Table 4-4: Operating Transients for PZR Safety/Relief Nozzle [7] ..................................................
25Table 4-5: Maximum and Minimum Radial and Shear Stresses on Path Cases FLA wol and FLA noz.........................................................................................................................................................
2 6Table 4-6: Maximum and Minimum Radial and Shear Stresses on Path Cases FLB wol and FLB noz.........................................................................................................................................................
2 7Table 4-7: Maximum and Minimum Radial and Shear Stresses on Path Cases FLC2_wol
.............
28Table 4-8: Maximum Temperatures for Path Line Cases ................................................................
29Table 4-9: Bounding Radial and Shear Weld Residual Stresses for Laminar Flaws .........................
30Table 4-10: Through-Wall Axial Residual Stresses along Path Line "A" for Planar Flaw Evaluation
..... 30T a b le 5-1: C o m p ute r F ile s .....................................................................................................................
33Table 7-1: Fatigue Crack Growth on Path Case FLAwol ................................................................
37Table 7-2: Fatigue Crack Growth on Path Case FLAnoz .................................................................
38Table 7-3: Fatigue Crack Growth on Path Case FLBwol ................................................................
39Table 7-4: Fatigue Crack Growth on Path Case FLC2_wol
..............................................................
40Table 7-5: Summary of Fatigue Crack Growth Laminar Indications
................................................
42Table 7-6: Flaw A rea Evaluation
........................................................................................................
42Table 7-7: O verlay Length Evaluation
...............................................................................................
43Table 7-8: Nozzle A Circumferential Flaw Growth -Summary ..........................................................
44Table 7-9: Nozzle A Circumferential Flaw Growth -Detailed Analysis
.............................................
44Table 7-10: Nozzle A Circumferential Final Flaw Size Evaluation
.....................................................
45Table 7-11: Nozzle A Circumferential Final Flaw Margin Evaluation in Ferritic Nozzle ....................
46Page 6 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Figure 2-1:Figure 2-2:Figure 2-3:Figure 4-1:Figure 4-2:Figure 4-3:Figure 4-4:Figure 4-5:Figure 4-6:Figure 4-7:Figure 4-8:Figure 4-9:List of FiguresPageA Through-Wall Crack in the Center of a Plate ................................................................
9Planar Projection of PZR Safety Nozzle A Indication
.....................................................
13PZR Safety Nozzle A Idealized Indication
.......................................................................
13Schematic of Safety/Relief Nozzle with FSWOL ...........................................................
18WIB-369 Overlay Rollout "A" Safety Nozzle (Ref. [1]) .....................................................
19Safety Nozzle "A" WIB-369 Overlay Indication Plot (Ref. [1]) .........................................
19WIB-423 Overlay Rollout "B" Safety Nozzle (Ref. [1]) .....................................................
20Safety Nozzle "B" WIB-423 Overlay Indication Plot (Ref. [1]) .........................................
20WIB-359 Overlay Rollout "C" Safety Nozzle (Ref. [1]) .....................................................
21Safety Nozzle "C" WIB-359 Overlay Indication Plot (Ref. [1]) ........................................
21PZR Safety Nozzle with Path Lines Superposed
...........................................................
22Idealization of the Safety Nozzle Laminar Indications
.....................................................
23Page 7 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary
 
==1.0 INTRODUCTION==
 
An inservice inspection of Diablo Canyon Power Plant (DCPP) Unit 2 overlaid Pressurizer (PZR) Safetynozzles revealed the existence of indications.
The indications are described in the Diablo CanyonPower Plant Design Input Transmittal (DIT) documented in Reference
[1]. Previous dispositions of allreported indications per the rules of the acceptance standards Table IWB-3514-3 and Article NB-3227.2 of ASME B&PV Code Section XI [2] and Section III [3] respectively are documented inReferences
[4] and [5].The purpose of this document is to validate that the acceptance standards underIWB-3500 remain valid after any potential crack growth.Indications observed in the PZR Safety nozzles are primarily
: laminar, with the exception of anindication located near the shoulder of Nozzle Safety A. This document analyzes the indications for 38years of remaining plant life. The indications are all embedded within the body of the nozzle andoverlay.
Therefore, no primary water stress corrosion crack growth mechanism would occur. The onlymechanism by which indications could grow is fatigue crack growth.This document provides a description of the indications, postulated flaws, applicable fatigue crackgrowth laws, fatigue crack growth analysis, and finally the predicted final flaw sizes are evaluated inaccordance with the rules of ASME B&PV Code Section XI [2] and Section III [3]. The applicable ASMEcode year for this analysis is 2004 with addenda through 2005 [6].2.0 ANALYTICAL METHODOLOGY This document performs flaw evaluation for dispositioning the non-destructive examination (NDE) foundindication in the DCPP PZR Safety nozzles.
As described in Reference
[1], all indications were laminarin nature with the exception of the indication found near the shoulder of PZR Safety nozzle A, whichhad small planar dimension.
This document postulates cylindrical flaws to analyze the laminarindication.
For the planar extent of the indication located near the PZR Safety nozzle A shoulder, asubsurface circumferential planar flaw was postulated.
For each postulated flaw, the flaw evaluation methodology consists of performing fatigue flaw growthfor the specified service life. At the end of life, a flaw evaluation is performed to evaluate the end of lifeflaw acceptability.
This analysis postulated laminar cylindrical and planar circumferential sub-surface flaws which couldpropagate by fatigue crack growth through the full structural weld overlay (FSWOL) and/or the Safetynozzle. A linear elastic fracture mechanics (LEFM) analysis was performed to determine the appliedstress intensity factors (SIFs) for the laminar and planar flaw indications.
The center-cracked panel(CCP) model was used with the radial and shear stresses to compute stress intensity factors for thelaminar flaw indications.
Flaw growth in the axial direction to estimate final flaw width was calculated using the SIF from the CCP model. Circumferential crack growth for estimating the final flaw lengthwas evaluated by extending the flaw length in proportion to the ratio of final flaw width to the initial flawwidth. Planar flaws were modelled as 3600 circumferential flaws.It should be noted that the prior planar flaw analysis for DCPP Unit 2 PZR nozzles [5] used 38 years ofremaining service life. The current analysis was performed using the 38 years of remaining service lifeas well. The crack growth analysis considered the growth of embedded flaws due to cyclic loadingsunder the presence of residual stress from the welding processes.
The final flaw sizes were calculated using the same operating transients considered in the original 2007 flaw growth analysis
[7]. Thepredicted final flaw sizes were evaluated in accordance with the rules of ASME B&PV Code Section XlTable IWB-3514-3
[2] for laminar flaws. For planar flaws, the predicted final flaw sizes were evaluated Page 8 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary in accordance with the rules of ASME B&PV Code Section XI IWB-3612 and IWB-3640
[2]. Section IIIarticle NB-3227.2
[3], was used to verify that the weld overlay length excluding the indications issufficient to transfer the load through shear back to the base metal considering a 100% through wallcrack in the PWSCC susceptible material.
The initial structural overlay analysis was performed in 2007 per ASME Section III Subsection NB Codewith 2001 through 2003 Addenda.
During relief request of 2013, the shear stress check for the laminarflaw analysis was performed per ASME Section III Subsection NB Code with 2004 and 2005 Addenda.The review was performed for both Code years and it was determined the criteria for pure shear stressevaluation per NB-3227.2 are the same. Hence, it is concluded that both the Codes are applicable tothe current analyses and no additional reconciliation is required.
The following subsections describe the analytical methodology used in analyzing both the laminar andthe planar indications.
Also, a list of the abbreviations and parameters used thought the document isprovided.
2.1 Laminar Flaw AnalysisThis section outlines the analytical methodology used to analyze the laminar indications.
The laminarflaw analytical procedure
: include, the models used to calculate the stress intensity factors (SIF) forlaminar flaws, laminar flaw crack growth calculation procedure, laminar flaw evaluation, and FSWOLminimum length requirement evaluation.
2.1.1 Laminar Flaw Stress Intensity Factor Solutions To calculate the stress intensity factor for the laminar flaw, the closed-form SIF solutions from page 40of Reference
[8] for CCP model were used. The Mode I and Mode II configurations are illustrated inFigure 2-1.-Mbtt tb- b-. ,-b -h "(Mode I) (Mode II)Figure 2-1: A Through-Wall Crack in the Center of a PlatePage 9 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary For Mode I configuration, the K, solution is listed below:F(ab)= [1- 0.025(Iby
+ 0.06(alb4]
ssec2b c2bWhere, a = uniform tensile stress2a = crack width2b = plate widthFor Mode II configuration, the K11 solution is identical to that in Mode I except using -(uniform shearstress) instead of a (uniform tensile stress).
It should be noted that some geometry idealization wasmade to use the CCP model SIF solution to analyze the Safety Nozzle laminar indications.
The functions F(a/b) is a geometry correction factor in which the b parameter accounts for the freesurface effects.
For an a/b value of 0, F(O)=I and for an a/b value of 1, the geometry correction factorF(a/b) asymptotically approaches a very large value. For an a/b value of 99.9%, F(O.999)
= 26.1. Theselection of the b parameter should be based on the location of the closest free boundary to theanalyzed flaw. Considering the Safety nozzle geometry, the b parameter can be quite large.2.1.2 Laminar Flaw Fatigue Crack Growth Calculation The steps to perform fatigue crack growth calculation for laminar flaws are presented below. Note thatthe analysis assumed 3600 laminar flaw, which is very conservative.
Since the full circumference wasassumed cracked; this section evaluated fatigue crack growth in the axial direction only.1. For the first transient, Calculate the mode I maximum and minimum stress intensity factors(Kimax and Kimin) based on the maximum radial stress ax._max and minimum radial stress Ox min inthe first transient, respectively.
Crack length 2a (crack width) and 2b (plate width) are alsorequired to calculate the SIF.2. Calculate the stress intensity factor range due the radial stress (AKI = Kimax -Kimin).3. Calculate the mode II maximum and minimum stress intensity factors (Kiimax and Kiimin) based onthe maximum shear stress -Tmax and minimum shear stress tmin in the first transient, respectively.
Crack width (2a) and plate width (2b) are also required to calculate the SIF.4. Calculate the stress intensity factor range due the shear stress (AKI, = Kilmax -Kirmin).5. Combine the stress intensity factor ranges from steps 2 and 4 to calculate the effective stressintensity factor range (AK) to be used in the crack growth analysis as AK = [(AK1)2 +(AK,1)2]0.56. To account for mean stress effect, calculate an effective R ratio as R = 1 -AK / Kmx using Kmax= [(Kimax)2 + (Kjimax)2]05 and AK = [(AKI)2 +(AK,1)2]05.The R ratio is used in the crack growthequations to account for mean stress effect as described in Section 4.7.Page 10 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary
: 7. Calculate crack growth increment (2Aa) based on AK, R, and number of cycles per year for thespecific transient.
Metal temperature is also required to determine the parameters in the crackgrowth rate equation.
: 8. Update crack length to find the crack length at the end of the transient (2af = 2ai + 2Aa), where2af is the crack length at the end of the transient, 2ai is the crack length at the beginning of thetransient, and 2Aa is the crack growth increment during the transient as calculated in Step 7.9. Repeat steps 1 through 8 for transients 2 through 10 with the crack length at the end of transient 1 is used as the starting crack length for transient 2, the crack length at the end of transient 2 isused as the starting crack length for transient 3 and so on. The crack length at the end of thelast transient is also the crack length at the end of one year.10. Repeat steps 1 through 9 to find crack length at the end of subsequent years with the cracklength at the end of the first year is used as the starting crack length for the second year, thecrack length at the end of the second year is used as the starting crack length for the third yearand so on. The process is repeated for the subsequent years for the 38 year design life.2.1.3 Laminar Flaw Evaluation Disposition of all reported laminar indications per the rules of the acceptance standards in Table IWB-3514-3 of ASME B&PV Code Section Xl [2] are reported in Reference
[4]. The same evaluation procedure was used in this document with final crack length now updated with calculated crack growthfor 38 years of plant operation.
For indication area evaluation, the acceptance criterion is in Table IWB-3514-3 [2], which requires thatA = 0.75(wxl)<
7.5 in2where A is the flaw area, w and / are flaw width and length.2.1.4 Minimum Required Overlay Length Calculations For overlay length evaluation, the length of the weld overlay is acceptable provided that the effective overlay length (Jeff) is greater than the required overlay length (ireq). The required overlay length (Ireq) isthe length of the weld overlay that is sufficient to transfer the load through shear back to the basemetal. Conservatively a 100% through wall crack is considered in the PWSCC (primary water stresscorrosion cracking) susceptible material.
The formulation in this section provides the procedure usedfor evaluating the minimum overlay length requirement.
The cross-sectional area (Anet) and section modulus (Z,,et) of the net section are calculated considering a 100% through wall crack in the PWSCC susceptible material asA,,nt=4 ((D + 2t)2 -D2)2x, 2x7-((D+
2t)4 -D4)Znet = ( x ne -64(D + 2t) (D + 2t)where D is the OD of the nozzle base metal, and t is the minimum weld overlay thickness.
Page 11 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary The extreme fiber tensile stress is calculated based on the net section properties with faulted moment(M) and axial load (F).M Fonel + +Znef AnetConservatively consider the maximum allowable shear stress for the faulted case to be 0.6Sm (see NB-3227.2, Reference
[5]) although the faulted allowable shear stress is higher. A force balance on theFSWOL with the maximum shear stress at the interface givesn,,e, xt = 0.6Sm ,l qSolving for the required minimum overlay length, Irq, giveslreq = Y'net X t0.6S,,The effective length, leff, of the weld overlay iseff = lot -%0 ,1 flawhere /WO/ is the length of the weld overlay based on the design drawings for minimum thickness conditions and 'flaw is the axial dimension of the laminar flaw. Thus the length of the weld overlay isacceptable provided that /eff is greater than 'req.It is noted that the initial structural overlay analysis was performed in 2007 per ASME Section IIISubsection NB Code with 2001 and 2003 Addenda.
During relief request of 2013, the shear stresscheck for the laminar flaw analysis was performed per ASME Section III Subsection NB Code with 2004and 2005 Addenda.
Both Code years were reviewed and it was determined that the criteria for pureshear stress evaluation per NB-3227.2 are the same. Hence, it is concluded that both Codes areapplicable to the current analyses and no additional reconciliation is required.
2.2 Planar Flaw AnalysisThis section outlines the analytical methodology used to analyze the planar indications.
The planarflaw analytical procedure
: include, the models used to calculate the stress intensity factors (SIF) forplanar flaws, planar flaw crack growth calculation procedure, and planar flaw evaluation.
2.2.1 Planar Circumferential FlawThe planar projection of the PZR safety nozzle A indications is shown in Figure 2-2. The corresponding idealized flaw shape for fracture mechanics evaluation is shown in Figure 2-3. The flaw was assumedto be full 3600 circumferential flaw that is embedded entirely in the FSWOL with one flaw tip located atthe interface of the nozzle and the FSWOL and the other flaw tip extending 0.08 inch into the FSWOL.Page 12 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Indication FSWOLFigure 2-2: Planar Projection of PZR Safety Nozzle A Indication Subsurface 3600Circumferential Flaw2aFSWOLNozzleFigure 2-3: PZR Safety Nozzle A Idealized Indication Page 13 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 2.2.2 Flaw Growth Analysis
-Planar FlawAREVACGC
[9] was used to perform fatigue crack growth for the postulated planar flaw near theshoulder of PZR Safety Nozzle A. AREVACGC
[9] uses the weight function method for calculating thestress intensity factor (SIF), which is documented in Reference
[10]. AREVACGC computes the SIFinternally and perform the fatigue crack growth calculations to estimate the final flaw size at the end ofthe service life. Necessary inputs to AREVACGC include nozzle geometry, flaw shape, size,orientation, applied stress, transient cycles, and temperature.
The fatigue crack growth rates for thematerials of interest (Low Alloy Steel nozzle and Alloy 52 FSWOL), implemented in AREVACGC, canbe activated by choosing appropriate input flags. The Low Alloy Steel fatigue crack growth rates areobtained from A-4300 of Reference
[2] and the Alloy 52/52M fatigue crack growth rates are obtainedfrom Reference
[15].For the postulated subsurface circumferential planar flaw, the applied stress intensity factor is driven bythe axial stresses.
The relevant sources of axial stress for fatigue crack growth analyses of thepostulated circumferential (planar) flaw are attributed to the occasional stresses from the operating transients, and sustained stresses due to weld residuals and pipe loads (Deadweight and ThermalExpansion).
The operating transient stresses are due to through-wall thermal gradients and pressurefluctuations during the transients.
For startup/shutdown (HUCD), the thermal expansion pipe loads areapplied cyclically to account for the change in thermal expansion load between cold shutdown andoperating conditions.
Flaw growth is calculated in one-year increments.
As stated earlier a service life of 38 years was usedin the current analysis.
The highest metal temperature during a transient was used to determine thefatigue crack growth rates.2.2.3 Planar Flaw Evaluation Because the planar flaw is located on the interface of the weld overlay and the nozzle with one crack tiplocated in the overlay and the other crack tip is near the overlay/nozzle interface, the predicted finalflaw size was evaluated in accordance with the rules of ASME B&PV Code Section Xl IWB-3612 andIWB-3640
[2].Per the ASME B&PV Code Section Xl IWB-3612 evaluation procedure, a flaw is acceptable if theapplied stress intensity factor and the flaw size satisfy the following conditions (a) For Normal and Upset conditions (Service Levels A and B)K, < KIa ql10(b) For Emergency and Faulted conditions (Service Levels C and D)K, < Kic '2WherePage 14 Controlled DocumentAAR EVADocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary K, = the maximum applied stress intensity factorKia = the available fracture toughness based on crack arrest for the corresponding crack tiptemperature Kic = the available fracture toughness based on crack initiation for the corresponding crack tiptemperature The analytical procedure for evaluating the rules of IWB-3640 is outlined in Appendix C of ASME B&PVCode Section Xl [2]. The appropriate evaluation procedure for the postulated subsurface circumferential planar flaw is given in article C-5000 [2], which deals with ductile materials where thefailure mode is that of plastic collapse at limit load.Per Reference
[2] the limiting load combinations for primary bending stress (Ob) for the ASME B&PVCode Section XI Service Level conditions are as follows:Service Level A (Normal)
-Service Level B (Upset) -Service Level C (Emergency)
-Service Level D (Faulted)
-DWDW + OBENo Transient or Load specified for this condition DW + DDE + HOSGRI (conservatively summed)2.3 List of Abbreviation and Parameters This section defines the various abbreviations and parameters used throughout the document.
Abbreviations DCPPPZRDITPWSCCNDEFSWOLLEFMCCPSIFDEDDEOBEDiablo Canyon Power PlantPressurizer Design Input Transmittal Primary Water Stress Corrosion CrackNon-Destructive Examination Full Structural Weld OverlayLinear Elastic Fracture Mechanics Center-Cracked Panel ModelStress intensity factorDesign Earthquake Double Design Earthquake Operation Basis Earthquake Parameters for crack growth analysis2a Flaw width (in the axial direction) used in the CCP model SIFcalculations 2b Plate width parameter used in the CCP model SIF calculations K, Mode I stress intensity factorK1, Mode II stress intensity factorAjK, = Kimax -Kimin Mode I stress intensity factor rangeAK,, = K11max -Kitmin Mode II stress intensity factor range,AK = [(AKI)2 +(AK,)d2f5 Mixed mode stress intensity factor rangeKmax =[(Klmax2
+(Kiimax) 2f5 Mixed mode maximum stress intensity factorR = 1 -IAK/Kmax Mixed mode R ratioCop max Maximum operating radial stresscop mi, Minimum operating radial stressrop max Maximum operating shear stress-r, mn Minimum operating shear stress(in)(in)(ksilin / MPa'm)(ksi/in / MPaqm)(ksi/in / MPa/m)
/ MPa'/m)(ksi'/in
/ MPa'/m)
/ MPa/m)(psi)(psi)(psi)(psi)Page 15 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary omax Maximum radial stress (psi)ox m, Minimum radial stress (psi)u,&#xfd; Residual radial stress (psi)r Residual shear stress (psi),max Maximum radial stress (psi)amin Minimum radial stress (psi),m,.ax Maximum shear stress (psi)Trmin Minimum shear stress (psi)2ai Initial flaw width (in)2af Final flaw width (in)2/Aa Flaw growth increment (in)AN Number of cycles per year for a given transient in one direction (cycle/year)
Parameters used in indication area evaluation A Laminar indication area (in2)w Flaw width used in the indication area evaluation (in)/ Flaw length used in the indication area evaluation (in)Parameters for crack growth rate equations da/dN Crack growth rate (in/cycle) n Crack growth equation exponentT Temperature
(&deg;F or 0C)CAeoo,C, Co, S, SR Coefficients in the crack growth equations R R ratioParameters for required overlay length evaluation Anet Cross-sectional area of the weld overlay (in2)Znet Section modulus of the weld overlay (in3)a-el Tensile stress is calculated based on the net section properties (psi)with faulted moment1,eq Required overlay length to transfer the load through shear back to (in)the base metal'eff Effective length of the weld overlay (in)I/,, Length of the weld overlay based on the design drawing (in)I'.aw Axial dimension of the laminar flaw used in required overlay (in)length assessment OD Outer diameter (in)D Diameter (same as outer diameter)
(in)t Thickness (weld overlay)
(in)F Axial load (lbf)M Bending Moment (in-lbf)Page 16 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary
 
==3.0 ASSUMPTIONS==
This section discusses the assumptions and modeling simplifications used in this evaluation of DiabloCanyon Unit 2 PZR Safety Nozzles indications.
3.1 Unverified Assumptions There are no assumptions that must be verified before the present analysis can be used to support thedisposition of the Diablo Canyon Unit 2 PZR Safety Nozzles indications.
3.2 Justified Assumptions
: 1. For the case where the R ratio < 0 (or similarly Kmin < 0), the R ratio is set equal to zero and thefull range of AK is used in the crack growth calculations.
This is a conservative assumption since crack closure due to compressive stress field is ignored.2. The analysis assumed 3600 laminar and planar flaws for fatigue crack growth calculations, which are conservative assumptions.
: 3. For laminar flaws, fatigue crack growth was performed in the axial (width) direction.
Finalcircumferential flaw length was estimated by extending the initial flaw length proportional to theratio of the final flaw width to initial flaw width. This is a conservative assumption since flawgrowth in the circumferential (length) direction is expected to be less than the flaw growth in theaxial (width) direction.
3.3 Modeling Simplifications
: 1. Multiple laminar flaws in Reference
[1] are combined into larger, bounding flaws and extendedto include a complete 3600 arc length for crack growth calculations.
Conservatively, CCP modelis used to represent the 3600 laminar flaws.2. For laminar flaw evaluation, the mode I and mode II were combined using the Square Root ofSum of Squares (SRSS) of the respective stress intensity factors.
This results in a moreconservative crack growth estimation than that obtained by the linear summation of theindividual crack growth increments due to mode I and mode II when the crack growth lawexponent is equal to or greater than 2 (i.e. for crack growth law proportional to AK , when n isequal to or greater than 2, combining mode I and Mode II using the SRSS method results in aconservative estimation of the crack growth increment).
: 3. The 2b parameter for analyzing the laminar indications was defined as either the distancebetween the point where the overlay meets the nozzle and the butter or distance to the nearestfree surface.3.4 Engineering JudgmentContribution of the external loads to the fatigue crack growth of the laminar flaws analyzed inthe current document was assumed to be negligible.
This is an engineering judgment since thesustained external loads will have minimal contributions to the cyclical radial and shear stresscomponents.
Page 17 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 4.0 DESIGN INPUTS4.1 GeometryFigure 4-1 shows a schematic view of the PZR Safety nozzle with FSWOL (taken from Reference
[12]).The different parts/subcomponents of the PZR Safety nozzle are labeled in Figure 4-1.I Thwr7Pni&WMIffp Ulm" id1/
End to Pie Wekld-IGi&#xfd;ISafe WF to Lin Weld -?,;*Me 10 Sak EAE~I1-~Figure 4-1: Schematic of Safety/Relief Nozzle with FSWOLPage 18 Controlled DocumentAAR EVADocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary The indications detected in the PZR Safety nozzle A are shown on Figure 4-2 and Figure 4-3 withadditional information provided in the Indication Data Sheets "Safety Nozzle "A" WIB-369 OL" inReference
[1]. Figure 4-4 and Figure 4-5 show indications detected in Nozzle B with further information in "Safety Nozzle "B" WIB-423 OL". The indications detected in Nozzle C are shown in Figure 4-6 andFigure 4-7, the corresponding additional are given in "Safety Nozzle "C" WIB-359 OL" (Reference
[1]).-Detailed dimensions of the safety nozzles are in Reference
[11].Figure 4-2: WIB-369 Overlay Rollout "A" Safety Nozzle (Ref. [1])Figure 4-3: Safety Nozzle "A" WIB-369 Overlay Indication Plot (Ref. [1])Page 19 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Figure 4-4: WIB-423 Overlay Rollout "B" Safety Nozzle (Ref. [1])LFigure 4-5: Safety Nozzle "B" WIB-423 Overlay Indication Plot (Ref. [1])Page 20 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Figure 4-6: WIB-359 Overlay Rollout "C" Safety Nozzle (Ref. [1])Figure 4-7: Safety Nozzle "C" WIB-359 Overlay Indication Plot (Ref. [1])Page 21 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary To enable conservative 2D axisymmetric analysis of laminar flaws, the circumferential content of thelaminar flaws are combined and extended to include a complete 3600 arc length. The longitudinal (axial) content of the laminar flaws are combined according to the ASME Code Section XI proximity rules. Therefore, it is determined in Reference
[12] that the indications in Safety Nozzle B arecombined as one bounding flaw along FLB, as shown in Figure 4-8. Indication
#3 in Nozzle C iscovered by the bounding flaw analysis along FLA of indications
#1/1A of Nozzle A.Since the indications in Figure 4-3 and Figure 4-5 are located at the interfaces of two different materials, two cases for each indication were analyzed.
In one case, flaw growth rates of the Alloy52/52M (WOL) were used and in the other case flaw growth rates of Low Alloy Steel (Nozzle) wereused. Reference
[12] defines path line cases, FLAwol and FLAnoz, whose locations are identical toFLA, the stresses for FLAwol were extracted by selecting WOL material only and the stresses forFLAnoz were extracted by selecting nozzle material only. All path lines are shown in Figure 4-8. Forpath line FLB the path line cases FLBwol and FLBnoz are defined by selecting WOL material andnozzle material, respectively as shown in Figure 4-8. Since the laminar indication
#4 in Nozzle C isentirely within the WOL, only FLC2_wol is required for the analysis.
Thus fatigue crack growths forthese five laminar flaw cases were analyzed.
Planar indications were only detected in Nozzle A andhence only path line FLA_pln is used in the analysis.
The path lines shown in parentheses in Figure4-8 are for information only and are not considered in the analysis.
Figure 4-8: PZR Safety Nozzle with Path Lines Superposed For the five laminar path line cases analyzed in this document, the crack dimensions required forcalculating the SIF are listed in Table 4-1.Page 22 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 4-1: Dimensions of laminar flaws for SIF Calculation Path Line Case 2a (1) (inch) 2b (inch)FLAwol [ ] [ ]FLAnoz [ ] [ ]FLB-wol [ ] [ ]FLB-noz [ ] [ ]FLC2_wol
[ ] [ ]Note"': Flaw indication lengths are obtained from Reference
[1].(2): From Reference
[4](3) From Reference
[1] and [11]0'radialI 4- 4-t 4 t4 4-tNotes: 1) For laminar indications represented by Flaw FLA (indications
-#1, #1A in Nozzle A,Indication
#3 in Nozzle C) and FLB (Indication
#1, #2 and #3 in Nozzle B) the 2bparameter was defined as the distance between the point where the overlay meets thenozzle on one end and the butter on the other end. This distance is estimated as 1.31".2) For laminar indication represented by Flaw FLC2 (indication
#4 in Nozzle C) the 2bparameter was derived from design drawing minimum overlay conditions Reference
[11]IIFigure 4-9: Idealization of the Safety Nozzle Laminar Indications Figure 4-9 shows idealization of the CCP Model to be used for the Safety nozzle laminar indications.
The parameter 2b for FLA is shown for demonstration.
The flaw dimensions and the 21b dimensions used for the laminar flaw SIF calculations are listed in Table 4-1.Page 23 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 4.2MaterialReference
[12] provides the material designations of various safety nozzle components.
The materials related to the laminar flaw path line cases investigated in this document are listed in Table 4-2.Table 4-2: Table of Materials Location Material Path Line Case[ ) [ )C IC ] C I C I4.3External LoadsFor the PZR Safety Nozzle, the external piping loads applied at the safe end (Table 4-3) can betransferred to the nozzle by the moment arm of 4.09" [11].Table 4-3: PZR Safety Nozzle Sustained Loading Conditions at Safe End [5]Load Case Forces (Ibf) Moments (in-lbf)Axial Fy F, Torsion [ My MJDWrThermalDE (also known as OBE (+))DDE+/-1[ T-LI1Tr 1L1]i 1-I4-I.rI_II-[4L44[iIIII~~11I4. 1[L1HOSGRIr4.4 Operating StressesThe final flaw sizes are calculated using the same operating transients considered in the original 2007flaw growth analysis
[7]. Per Reference
[13], the number of RCS design transients is established for 60years of design life. The operating transients applicable to laminar flaw growth are listed in Table 4-4.Page 24 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 4-4: Operating Transients for PZR Safety/Relief Nozzle [7]Transient Designation Transient Name DesignNumber CyclesI [ ) [ ) [1]2 [ [] [ ]3 [ i ] ] [1]4 [ ] [ [ ]6 [ J ][ [1]8 [ J C [ [1]10 [ ] [ 1 [1]11 [1__(1) Leak Test is included in HUCD Transient.
(2) The Safety Valve Opening transient is conservatively used to also cover the Relief Valve OpeningTransient.
(3) An additional transient event due to seismic (OBE) loads is also included for the circumferential flawanalysis.
(Note that seismic loading is not expected to contribute to the radial and shear stresscomponents, which constitute the crack driving force for laminar flaw. Thus seismic loading is notconsidered for fatigue crack growth of laminar flaws) The seismic stress conditions are taken to be thestresses of the steady state condition plus I minus the stresses due to OBE loads shown in Table 4-3.The cyclic operating stresses that are needed to calculate fatigue crack growth were obtained from athermo elastic three-dimensional finite element analysis
[12]. These fatigue stresses were developed for each of the transients at a number of time points to capture the maximum and minimum stressesdue to fluctuations in pressure and temperature.
The stresses that are required for crack growthanalysis for the flaws are documented in Appendix C of Reference
[12]. Radial stresses contributing toMode I crack growth are from files '"SX". Shear stresses contributing to Mode II crack growth are fromfiles "Sh". Since the SIF solutions in Section 2.1.1 are based on uniform stress, the stress data fromAppendix C of Reference 112] were sorted to obtain maximum and minimum stresses along the path.These maximum and minimum stresses are conservatively used as the stress values for SIFcalculation.
In addition, the stress data were further sorted based on time points in each transient.
Themaximum and minimum radial and shear stresses for all time points in each transient for the path linecases investigated are tabulated in Table 4-5 through Table 4-6.Page 25 AAR EVAControlled DocumentDocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 4-5: Maximum and Minimum Radial and Shear Stresses on Path Cases FLAwol and FLAnozPath Case FLA-wol Path Case FLA-nozTransient Minimum Maximum Minimum Maximum Minimum Maximum Minimum MaximumRadial Stress Radial Stress Shear Stress Shear Stress Radial Stress Radial Stress Shear Stress Shear Stress_ _min (ksi) Omax (ksi) Tmin (ksi) (ksi) O'min (ksi) O'max (ksi) TmIn (ksi) (ksi)Stresses are due to transient thermal and pressure loads. No residual stress is present in these stresses.
These stresses are the minimum and maximumstresses along each pathline for all time points within each transient Page 26 AAR EVAControlled DocumentDocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis  
-Non Proprietary Table 4-6: Maximum and Minimum Radial and Shear Stresses on Path Cases FLBwol and FLBnozPath Case FLBwol Path Case FLBnozTransient Minimum Maximum Minimum Maximum Minimum Maximum Minimum MaximumRadial Stress Radial Stress Shear Stress Shear Stress Radial Stress Radial Stress Shear Stress Shear StressOmin (ksi) Omax (ksi) tmin (ksi) Tmax (ksi) j min (ksi) cymax (ksi) tmin (ksi) Tmax (ksi)Stresses are due to transient thermal and pressure loads. No residual stress is present in these stresses.
These stresses are the minimum and maximumstresses along each pathline for all time points within each transient Page 27 AAR EVAControlled DocumentDocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 4-7: Maximum and Minimum Radial and Shear Stresses on Path Cases FLC2_wolPath Case FLC2SwolTransient Minimum Maximum Minimum MaximumRadial Stress Radial Stress Shear Stress Shear StressOmin (ksi) Oam.. (ksi) lTmin (ksi) lTma. (ksi)Stresses are due to transient thermal and pressure loads. No residual stress is presentin these stresses.
These stresses are the minimum and maximum stresses along eachpathline for all time points within each transient Page 28 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 4.5 Operating Temperatures Metal temperature data are required for crack growth calculations.
Metal temperatures along path lineswere extracted in Appendix C of Reference
[12] with file names "TH". The path line temperature dataare sorted in the current calculation to determine the maximum temperature along the path from all timepoints in each transient.
The maximum temperatures are used in the fatigue crack growth calculations, which results in a conservative estimate of fatigue crack growth. The maximum temperatures at allpath cases during transients are tabulated in Table 4-8.Table 4-8: Maximum Temperatures for Path Line CasesTemperatures for Path Line Cases (OF)FLA-wol/
FLB wolf FLC2_wolFLA noz FLBnozIThese temperatures are the maximum temperature along eachpathline for a given transient duration.
4.6 Residual StressesResidual stresses are analyzed in Reference
[14]. The residual stresses at the flaws analyzed in thisdocument are documented in Appendix C of Reference
[14]. The maximum values from the boundingcases of radial and shear stresses are tabulated in Table 4-9 and are used for laminar flaw analysis.
The axial stresses are tabulated in Table 4-10 and are used for planar circumferential flaw analysisResidual stresses were combined with operating stresses for SIF calculations..
Page 29 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 4-9: Bounding Radial and Shear Weld Residual Stresses for Laminar FlawsI LocationRadial Stress (ksi)I Shear Stress (ksi) ILITable 4-10: Through-Wall Axial Residual Stresses along Path Line "A" for Planar FlawEvaluation Along Path line FLA_plnDistance Along Axial WRSPath Line from (psi)the ID (in.)I4.7 Fatigue Crack Growth LawsFatigue crack growth models for materials in Table 4-2 are described in the subsections below. Sincethe flaws in Figure 4-2 and Figure 4-3 do not come in contact with the reactor coolant, crack growthformulae that are applicable in the presence of air environment are used.Page 30 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 4.7.1 [ ] -FSWOLThe fatigue crack growth model for Alloy 52 and 52M is obtained from Reference
[9], which uses amultiplier of 2 upon those of Alloy 600. The crack growth rate (CGR) equation for Alloy 600 is given inNUREG/CR-6721
[15]. The CGR equation for Alloy 52 and 52M is expressed as,Cda =2 ( da >dN,) A52/52M dN ) A600Substituting the Alloy 600 crack growth equation, da = 2 -C A600SR RA~-- A52/52MWhere AK is the stress intensity factor range in terms of MPa~m and da/dN is the crack growth rate inthe units of meter/cycle.
The other parameters are defined as,CA600 =4.835x10-1 4 +1.622x10-1 6T-1.490x10'-
8T2 +4.355x10-2 1T3AK=Kma. -KminR = K.iKmaxSR =(1- 0.82R)-22 n=4.1T = metal temperature in &deg;CFor the combined mode loading due to the opening mode (mode I) and sliding mode (mode II) theparameter AK was estimated asAK = (AK12 + AK112)05with AKI and AKI1 defined as.AKI = Kimax -KiminAKI1 = Kiimax -KiiminWhere Kimax and Kimin are the maximum and minimum mode I stress intensity
: factors, and Kiimax andKiimin are the maximum and minimum mode II stress intensity factors.a conservative estimation of the R ratio is given byR = 1 -AK /Kmaxwhere Kmax is estimated asKmax = (KImax2 + Kiimax2)05For the case where the R < 0 (or similarly Kmin < 0), R is set equal to zero and the full range of AK isused in the crack growth calculations.
This is a conservative assumption since crack closure due tocompressive stress field is ignored.Page 31 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 4.7.2 Low-Alloy Steel -NozzleThe fatigue crack growth model for low-alloy steel is obtained from Reference
[2] Article A-4300. TheCGR equation for low-alloy steel is expressed as,C d ) =C0(AK)"Where AK is the stress intensity factor range in terms of ksNin and da/dN is the crack growth rate in theunits of inch/cycle.
The other parameters are defined as,R -KminK ma~x5.0 for R < 0AKh -0.8R ) for 0 < R < 1.0For 0 - R IS =25.72(2.88-R)-3.7L AK=Kma, -KminFor RaO, < O, AK = Kmax -KinC01 for AK < AKth1o=.99x10-Os forAK>AKth n =3.07For the combined mode loading due to the opening mode (mode I) and sliding mode (mode II) theparameter AK was estimated asAK = (AK12 + AK112)0"5with AKI and AKII defined as.AKI = Klmax -KiminAKII = Kiimax -KilminWhere Kimax and Kimin are the maximum and minimum mode I stress intensity
: factors, and Kiimax andKlimin are the maximum and minimum mode II stress intensity factors.a conservative estimation of the R ratio is given byR = 1 -AK/Kmaxwhere Kmax is estimated asKmax = (Kimax2+ KiImax2)0.5Page 32 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Note that for the case where the R < 0 (or similarly Kmin < 0), it is assumed that S = 1 and AK = Kmax -Kmin. This is a conservative assumption since crack closure due to compressive stress field is ignored.5.0 COMPUTER USAGE5.1 Software and HardwareMathcad [16] and Excel spreadsheets are used in this calculation.
The hardware platform (ServiceTag# 5VKW5S1) is Intel CoreTM i7-2640M CPU 2.80 GHz, 8.00 GB RAM. The operating system isMicrosoft Windows 7 Enterprise, Copyright
&#xa9; 2009, Service Pack 1.5.2Computer FilesAll computer files are listed in this section.
All files are available in AREVA NP Inc. ColdStor storage\\cold\General-Access\32\32-9000000\32-9215965-001
\official.
Table 5-1: Computer FilesName Size Date/Time Modified CRCCircFlawNozzleA.xlsm 2234552 Mar 09 2014 00:55:21 28298CircFlawNozzleAK.xlsm 2494168 Mar 09 2014 01:05:53 48888CircFlawNozzleAK faulted.xlsm 2494106 Mar 09 2014 01:32:43 26776LaminarFlaws.xlsx 293044 Mar 06 2014 09:53:04 29698LaminarFlawsA.xlsx 293140 Mar 06 2014 09:52:09 51342Laminar Flaws.xmcd 861321 Mar 06 2014 10:44:32 39188LaminarFlawsA.xmcd 920752 Mar 07 2014 14:09:08 55788TestCasel.xlsm 200609 Jan 12 2014 23:30:43 01918TestCase2.xlsm 206399 Jan 12 2014 23:31:07 64988Page 33 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary
 
==6.0 CALCULATIONS==
The fatigue crack growth analysis methods outlined in Section 2.1.2 were used to calculate the finalcrack sizes for all cracks at the end of 38 years. A total of four cases (along two path lines) wereanalyzed in this document.
All calculations are performed using Mathcad and Excel spreadsheet, aslisted in Table 5-1. This section contains sample calculations illustrating the fatigue crack growthanalysis for each of the two materials considered in the current document
([ I and LowAlloy Steel). In each sample calculation, detailed calculations are shown to illustrate fatigue crackgrowth increment for one transient.
The manual calculations were repeated for all transients (notshown in the document) to assure that the manual calculations confirms the results for. the first year asreported in Section 7.06.1 ] -FSWOLPath line cases FLAwol, FLBwol and FLC2_wol are located at Alloy 52M material.
Using FLAwolas an example, for transient
#1 at the beginning of the first year,GivenCyop min ---- ksi (Table 4-5)0op max = ksi (Table 4-5)Top_min = ksi (Table 4-5)Top maxt = ksi (Table 4-5)Ors = ksi (Table 4-9)Trs = ksi (Table 4-9)Notet: conservatively using the largest magnitude of shear stress, which is from the maximum negative stress.2a = C 1 inch (Table 4-1)2b = inch (Table 4-1)T = ' &deg;F (Table4-8)
[ ] 0CNumber of Cycles 60 years = cycles (Table 4-4)AN = [ cycles/year Omin = Ooprin -Ors = [ ksi [ ] MPaOmax COop-max
+ Ors = [ ksi[ ] MPaTmin = Topmin + Trs =] ksi C ] MPaTmax =Topmax +aTrs = ] ksi[ MPaa/b = Jf(a/b) = (1-0.025(a/b) 2+0.06*(a/b) 4)./sec(Tra/2b)
= ]]Kimin = Graxv(na) f(a/b) = ksi~inKimax = (minV(iTa) f(a/b) = C ksi4inK1imin = TmaxV(iTa) f(a/b) =] ksi'inKIImax = Tminv(2ta) f(a/b) = [ ksiqinAKI = Kimax -Kimin =] ksi/inPage 34 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary AKII = Kiimax -Kilmin = C I ksidinAK = (AK12 + AK,,2)0&deg; = ksilin = [ ] MPaVmKmax ( Kimax2 + KiImax2)&deg;5 R R =1 -AK/ Kmax= CSR = 0(- 0.82 R)22  [ ]CA600 = 4.835 x 1014 + 1.622 x 1016 T-1.490 x 10-"*T2 + 4.355 x 1021 T3Aa = AN(2 CA600 SR AK4.1) = [] m [ in2a=2a+2Aa
= [ ]The calculated 2a = I ] inch is the initial 2a for the next transient crack growth calculation.
After going through all 10 transients in the first year, the crack grows from[ ] , which confirms the results reported in Table 7-1 for the first year. Then,1 is used as the initial crack length for the second year calculation and so on. Thus byrepeating the process the final flaw size at the end of 38 years is obtained.
6.2 Low-Alloy Steel -NozzlePath line case FLAnoz and FLBnoz are located at low-alloy steel material.
Using FLAnoz as anexample, for transient
#1 at the beginning of the first year,(TableCop min = C ksi 4-5)(TableOop max = C ksi 4-5)(TableTop mint = [ ksi 4-5)(TableTop-maxt
= C ksi 4-5)Ors =ksi (Table4-10)Trs [ksi (Tables 4-10)Notet: conservatively using the largest magnitude of shear stress, which is from the maximum negativestress.2a = inch (Table4-1)2b = [ inch (Table4-1)T = OF (Table4-8)Number of Cycles 60 years = (Table4-4)AN = C cycles/year Gmin = opmmin + ors = [ ksiOmax = Oop-max + ors = ksitmint = Top-min + 1Trs = [ ksiPage 35 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary tmaxt = Top-max + trs = ksia/b =f(a/b) = (1-0.025(a/b)2+0.06*(a/b)
: 4) Isec(7ra/2b)
=Kimin = amaxV(ita) f(a/b) = ksi/inKImax = GminV(iTa) f(a/b) = ksi'/inKlimin = TmaxV(7ca) f(a/b) = ksi/inKiimax = TminV(nta) f(a/b) [ ksilinAKI = Kimax -Kimin = ksi'inAK, = Kiimax -Kiimin = AK = (AK12 + AK112)05 = ksi'/inKmax ( Klmax2 + Kiimax2)O' = ) ksi'/inR=I-AK/Kmax
=AKth = -]] S (Section 4.7.2) =Co (Section 4.7.2) = [Aa = AN(CoAK3&deg;7) [] inch2a=2a+2Aa
= inchThe calculated 2a = [ ] inch is the initial 2a for the next transient crack growthcalculation.
After going through all 10 transients in the first year, the crack grows from[ ] , which confirms the results obtained in Table 7-2 for the first year. Then,[ ] is used as the initial crack length for the second year calculation and so on. Thus byrepeating the process the final flaw size at th6 end of 38 years is obtained.
7.0 RESULTS7.1 Laminar Flaws7.1.1 Laminar Flaw Fatigue Crack Growth AnalysisThe crack sizes during 38 years of plant operations due to fatigue crack growths are presented in Table7-1 through Table 7-4. The final crack sizes for all cases are summarized in Table 7-5. For the twoFLA path cases, the larger crack growth is observed on path case FLAnoz, which grew toI ] .The cracks cases along the FLBwol grew to I ] , whereasFLBnoz did not grow at all. The zero crack growth in FLBnoz is found to be the result of calculated AK being smaller than AK- threshold for fatigue crack growth in Low Alloy Steel. The flaw considered along FLC2_wol grew to I ] .These bounding final crack sizes for each case areused for laminar flaw evaluations in Section 7.1.2.Page 36 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 7-1: Fatigue Crack Growth on Path Case FLAwolYear Year Start Crack Size Crack Growth (in.) Year End Crack Size(in.) (in.) IPage 37 Controlled DocumentAAREVADocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary I Year Year Start Crack Size Crack Growth (in.) Year End Crack Size(in.) (in.)Table 7-2: Fatigue Crack Growth on Path Case FLAnozYear Year Start Crack Size Crack Growth (in.) Year End Crack Size(in.) (in.) IPage 38 Controlled DocumentAAREVADocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Year Year Start Crack Size Crack Growth (in.) Year End Crack Size(in.) (in.)Table 7-3: Fatigue Crack Growth on Path Case FLBwolYear Year Start Crack Size Crack Growth (in.) Year End Crack SizeI (in.) (in.) IPage 39 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Year Year Start Crack Size Crack Growth (in.) Year End Crack SizeI (in.) (in.) ITable 7-4: Fatigue Crack Growth on Path Case FLC2_wolYear Year Start Crack Size Crack Growth Year End Crack SizeI (in.) (in.) (in.)Page 40 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Year Year Start Crack Size Crack Growth Year End Crack Size(in.) (in.) (in.)Page 41 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 7-5: Summary of Fatigue Crack Growth Laminar Indications IIIndication Path CaseInitial Crack Size Final Crack Size Crack Increase(in.) (in.) (%)I -7.1.2Laminar Flaw Evaluation The flaw area calculations are performed in Table 7-6. Based on the areas calculated in Table 7-6, it isconcluded that the laminar flaws meet the laminar flaw acceptance criterion in article IWB-3514-3 ofASME Code Section XI [2] after 38 years of plant operation.
The minimum required overlay length evaluation is performed in Table 7-7. It is seen from Table 7-7that the effective overlay length (/eff), evaluated as the actual overlay length (/ol,) minus the flaw length(Ifaw), is greater than the minimum required overlay length (Ireq), which is estimated based on Section IIIof the ASME Code [3]. Thus, it is concluded that the laminar flaws will not impact the overlay integrity after 38 years of plant operation.
Table 7-6: Flaw Area Evaluation Reference FLA FLB FLC2 Reference
/Comments Initial flaw width, WinitiaI (in.) [ ] [ ] [ J Table 7-5Final flaw width, Wfinal (in.) [ ] [ J Table 7-5r r References Initial flaw length, linitiaI (in.) Rf e[ e [4] and [1]Final flaw length, See Note (1)/final (winal I Winitial
) linitial (in.) [ ] C ] belowA,= O. 75(wfina, X Ifinal) (in2) [ I [ I [ J Section 2.1.3Alimit (in 2) 7.5 7.5 7.5 Table IWB-3514-3 of [2]Check Acai < Alimit OK OK OKNote (1): Geometric similar flaw growth is assumed in the growth analysis.
This assumption maintains a constant aspect ratio as defined by the initial flaw, Winiva/linitai.
The final flaw length,'final was computed based on Wrnal determined in the growth analysis.
The assumption ofgeometric flaw shape in the growth analysis is conservative since the cyclic stresses acting at theflaw plane are taken as uniform stress over the flaw area. Under uniform stress conditions, theflaw aspect ratio will decrease during growth making the Ifinal smaller than that computed by theconstant aspect ratio assumption.
Page 42 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table 7-7: Overlay Length Evaluation Parameter FLA FLB FLC2 Reference/Comments t (in) '[ ] [ ] [ ] Reference
[11]OD (in) [ ] [ ] [ ] Reference
[11]Equation (2) ofZnet (in3) [C ] [ ] Reference
[4](in 2) Equation (1) ofAnet (in2)[ ] [ ] Reference
[4]M (in-lbf)
[ ] [ ] [ ] Faulted, Reference
[17]M/Znet (psi) ] [ ] [ ]F (lbf) [ ] [ ] [ ] Faulted, Reference
[17]F/Anet(psi)
[ ] [ ] [ ]M/Znet + F/Anet Equation (3) of(ksi) [ ] [ ] [ ] Reference
[4]Sm (ksi) [ ] C ] Table 4-2 of Reference
[4]Equation (5) ofIreq (in) [ ] C ] [ ] Reference
[4]Iwo,(in)
[ ] C ] C ]Iftaw (in) [ ] [ Table 7-5Equation (6) ofleff(in)
[ ] C ] C ] Reference
[4]Check eff > Ireq OK OK OKNote M): From Reference
[11] [Page 43 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 7.2 Planar Indications 7.2.1 Nozzle A Circumferential Flaw Fatigue Crack Growth AnalysisThe calculated flaw growth for PZR Safety Nozzle A indications was negligible.
Table 7-8 shows asummary of the predicted crack growth as calculated by AREVACGC.
Table 7-9 shows thecontribution of each analyzed transient to the calculated fatigue crack growth.Table 7-8: Nozzle A Circumferential Flaw Growth -SummaryInitial Flaw Width, 2a1 (in) = [ IInitial Flaw Center (in) =Final Flaw Width, 2af (in) = [ IFinal Flaw Center (in) =Growth towards Center (in) = [ ]Growth away from Center (in) =Total Amount of Fatigue Crack Growth (in) =Table 7-9: Nozzle A Circumferential Flaw Growth -Detailed AnalysisTrans. Growth (In) PercentHUCDMILDLI [ILLD[ ILOL ILOP ILOFCI CRT ICTRTCI CIASACICIsvoC C ISEISMIC IPage 44 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 7.2.2 Nozzle A Circumferential Final Flaw Evaluation As seen in Section 7.2.1, flaw growth is negligible.
Table 7-10 shows evaluation of the final flaw depthwith flaw acceptance standard from Appendix C of the ASME B&PV Code Section Xl [2]. It is seenfrom Table 7-10 that the final flaw size is much smaller than the allowable flaw size. Therefore, theindications found in PZR Safety Nozzle A are acceptable for the remainder of the plants service life.Table 7-10: Nozzle A Circumferential Final Flaw Size Evaluation Allowable Flaw Depths I Normal Upset I Faulted I Reference Service level maximum pressure, p, (psi)Service level maximum temperature, T, (F)Service level flow stress, of = (Sy+Su)/2, (psi)total thickness, t, (inch)overlay outside diameter, Do, (inch)sectional area, A, (inch2)moment of inertia, I, (inch4)section modulus, S (inch3)Primary Bending Moment, MbSRSS (in-lbf)Thermal Expansion Bending Moment, MeSRSS(in-lbf)Safety factor, SFm,Safety factor, SFb,Calculated primary membrane stress, am =pDo/4t , (psi)Calculated primary bending stress, Ob =Moment SRSS/S , (psi)Calculated secondary bending stress, 0e =Moment SRSS/S, (psi)Final Flaw Depth, af, (in)Final Flaw length, If, (in)Calculated final flaw depth to thickness ratio,af /t,Stress ratio, [om + Ob ] / OfRatio of flaw length to pipe circumference, If/Tr D.,Ratio of allowable flaw depth to thickness, aallow / t,~~~~1-V~~~1~~~1~~1-ICCCCCCCCCCCCIIII]-ii-I-I-I-I-ICCIIII][(([[[-11-C-III~1I~1II]I[7][7][5][7][7]See Note 1belowSee Note 1belowRef. [2],C-2621Ref. [2],C-2621))))))CCCCCCCCIIICCCII)Ref. [2],C-2500Ref. [2],C-2500Ref. [2],C-2500-~ I.IIIIICCCCC))I))Ref. [2],Table C-5310-1,2,4
.1 4 40.7500.7500.750Ref. [2],Table C-5310-1.2.4
_________________________________________
.5. ____________
J ANote: 1) Calculated by transferring the forces and moments in Table 4-3 to the nozzle as indicated in Sec 4.3 and then usingthe relation described in Section 2.2.3.Page 45 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary The final flaw is also evaluated as if one of its tips is in the ferritic nozzle. The acceptance of the finalflaw size was evaluated per the acceptance criteria of IWB-3612.
The evaluation is shown in Table 7-11. The controlling normal/upset condition is found to be Loss of Load (LOL) with a maximum appliedstress intensity factor of [ ] at a temperature not less than [ ] .The faultedcondition stress intensity factor is calculated by adding the stresses due to the faulted condition load asdescribed in Section 2.2.3 to the steady state operating condition stresses.
The stress distribution through the thickness is used in calculating the stress intensity factor. For faulted conditions, themaximum stress intensity factor was calculated to be [ ] ksi'lin.Per Article A-4200 of Reference
[2], the initiation fracture toughness (Kic) and the arrest fracturetoughness (Kia) are defined asKic = 33.2 + 20.734 exp[0.02(T-RTNDT)]
Kia = 26.8 + 12.445 exp[0.0145(T-RTNDT)]
Where T is the crack tip temperature and RTNDT is the nil-ductility transition temperature.
A cut offvalue of 200 upper shelf fracture toughness is imposed on both of the above equations.
For theSafety nozzle material an RTNDT value of 60 IF was used. This is a reasonable value for non-irradiated locations such as the location of the Safety nozzle. The value of Kic > 200 ksi'in for T- RTNDT > 105 &deg;Fand the value of Kia > 200 ksibin for T- RTNDT> 182 OF.Table 7-11: Nozzle A Circumferential Final Flaw Margin Evaluation in Ferritic NozzleNormal/Limiting Transient Conditions Upset Faulted Reference (LOL)Limiting Temperature (OF) [j] j. ]Section 5.2: Obtainedfrom AREVACGC outputMaximum Stress Intensity Factor (ksi'iin)
[ [ ] documented in fileCircFlaw NozzleA K.xlsmAllowed Fracture toughness, KOa /Kic (ksi'/in)
[" [[Obtained Margin JRequired Margin 1l0 -12 Ref. [2], IWB-3612(1)Since the temperature is above 6000F, using an upper shelf fracture toughness value of 200 ksi~inThe lowest margin obtained for normal/upset conditions is [ ] which is much higher than therequired margin of The margin [ ] obtained for faulted condition is also much higher thanthe required margin of 12. Thus, in both cases the calculated margins are higher than the allowable margins.
Therefore, the planar indication found in Safety Nozzle A is acceptable for the remainder ofthe plants service life.Page 46 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary 8.0 SUMMARY OF RESULTSThe final crack sizes for all laminar flaw cases are summarized in Table 7-5. The flaw area evaluation and overlay length evaluation are performed in Table 7-6 and Table 7-7, respectively.
The final flawsize of the planar flaw is shown in Table 7-8 and the final flaw size evaluation in FSWOL is summarized in Table 7-10. The final flaw size of planar flaw is also evaluated in ferrtic nozzle; the results are shownin Table 7-11.It is concluded that all the laminar and planar indications found during the inspection of PZR Safety/Relief Nozzles [1] meet the acceptance criteria of the Section XI of the ASME Code [2] for 38 years ofplant operation.
Page 47 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary
 
==9.0 REFERENCES==
: 1. AREVA Document 38-9200149-001, "DCPP Unit 2 Pressurizer Nozzle NDE Data"2. ASME Boiler and Pressure Vessel Code, Section XI, 2004 Edition with Addenda through 20053. ASME Boiler and Pressure Vessel Code, Section III, 2004 Edition with Addenda through 20054. AREVA Document 32-9199937-001, "DCPP Unit 2 -Evaluation of Laminar Indications onPressurizer Nozzles"5. AREVA Document 32-9199805-001, "Diablo Canyon Power Plant Unit 2 PZR Safety and SprayNozzles Planar Flaw Analysis"
: 6. "Safety Evaluation by the Office of Nuclear Reactor Regulation
-Request for Relief from theAmerican Society of Mechanical Engineers Boiler and Pressure Vessel Code, Section Xl,Inservice Inspection
: Program, Pacific Gas and Electric
: Company, Diablo Canyon Power Plant,Unit No. 2 Docket No. 50- 323" Dated February 6, 2008 (ADAMS No. ML0801 10001)7. AREVA Document 32-9049065-001, "Diablo Canyon Unit 2 PZR Safety/Relief Nozzle WeldOverlay Crack Growth Evaluation"
: 8. Hiroshi Tada, Paul C. Paris, George R. Irwin, "The stress analysis of cracks handbook",
3rdedition, ASME, 20009. AREVA Document 32-9055891-006, "Fatigue and PWSCC Crack Growth Evaluation ToolAREVACGC."
: 10. AREVA Document 32- 9052958-003, "Evaluation of stress intensity factors using the weightfunction method."11. AREVA Drawing 02-8019311 D-001, "Diablo Canyon Pressurizer Safety/ Relief Nozzle WeldOverlay Design Input"12. AREVA Document 32-9049114-003, "Diablo Canyon Unit 2 -Pressurizer Safety/Relief NozzleWeld Overlay Analysis"
: 13. AREVA Document 38-9046469-002, "DCPP 2 Pressurizer Nozzle Weld Overlay Design Data--Non-proprietary" Page 48 Controlled DocumentAARE VA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary
: 14. AREVA Document 32-9049062-004, "Diablo Canyon Unit 2 Pressurizer Safety/Relief NozzleWeld Overlay Residual Stress Analysis"
: 15. NUREG/CR-6721, "Effects of Alloy Chemistry, Cold Work, and Water Chemistry on Corrosion Fatigue and Stress Corrosion Cracking of Nickel Alloys and Welds," U.S. Nuclear Regulatory Commission (Argonne National Laboratory),
April 200116. Mathcad 15.0 Software, Parametric Technology Corporation, 140 Kendrick Street, Needham,MA 02494 USA17. AREVA Document 32-9043545-001, "Diablo Canyon Unit 2, Pressurizer Safety/Relief NozzleWeld Overlay Sizing Calculation"
: 18. "ANSYS" Finite Element Computer Code, Version 14.0, ANSYS, Inc., Canonsburg, PAPage 49 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary APPENDIX A: STRESSES FOR SAFETY NOZZLE WOL FRACTURE MECHANICS ANALYSIS FOR OUTAGE 2R17A.1 PurposeDuring the 2013 outage (2R17) inservice inspection indications were detected in the weld overlaid Pressurizer Safety/Relief Nozzles.
The indications are described in the Diablo Canyon Power Plant Design Input Transmittal (DIT) summarized in Reference
[1]. The purpose of this appendix is to provide stress and thermal results of thetransient analyses for fracture mechanics evaluation along pathlines matching the detected indications in theSafety/Relief Nozzles.A.2Path Line Determination Per Reference
[1], rejectable indications were found in safety nozzles A, B, and C as described in Section 4.1. Thepathlines are determined similarly to the process described in Appendix C of Reference
[12]. The new WOL andNOZ paths are extended to account for up to 1/8" of uncertainty on either side of the flaw. The pathlines aredescribed in Table A-I and Figure A-1.Table A-I: Path Lines Description Node Intermediate NodePath Line Number Node Number Location MaterialStart Numbers EndA wol 1429 1461, 1465, 1472* Indications A and CI Alloy 690A noz 1464, 1466 SA-508, Cl. 2B wol 1361 N/A 3331 Indication B Alloy 690B noz SA-508, Cl. 2C2 wol 274 N/A 283 Indication C2 Alloy 690*This node is retained from path selected in Appendix C of [12], since it represents the geometry of theindication even with uncertainty consideration.
Page 50 Controlled DocumentAAR EVADocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Figure A-I: Path Lines Defined for Fracture Mechanics Evaluation A , _Bnoz wol" B-nozIIA.3 Stress and Temperature Evaluation The post processing calculations for fracture analysis are contained in computer file: DC2_fr newpath.out Stresses along the path lines in the global coordinate system with "y" axis along the nozzle axis are summarized atthirteen points separated by an equal distance from the inside node to the outside node. At each point the radial(Sx) stress, axial (Sy) stress, hoop (Sz) stress, shear (Sh) stress on XY surface, and the temperature (Th) in theweld or weld overlay are given.ANSYS post processing output files are listed in Section A.4.2 and the stress and temperature output result filesare listed below:DC2 HUCD fr NewPath SX.outDC2 LDLI frNewPathSX.out DC2 LLD fr NewPath SX.outDC2 LOL fr NewPathSX.out DC2_LOP frNewPathSX.out DC2 HUCD fr NewPath SY.outDC2 LDLI fr NewPath SY.outDC2 LLD fr NewPath SY.outDC2 LOL fr NewPathSY.out DC2_LOP frNewPathSY.out DC2 HUCD fr NewPath SZ.outDC2 LDLI fr NewPath SZ.outDC2 LLD fr NewPath SZ.outDC2_LOL frNewPathSZ.out DC2_-LOF
-fr_-NewPathSX.out DC2_RI-frNewPathSX.out DC2_IRT firNewPathSX.out DC2_IASA-frNewPathSX.out DC2_SVO-frNewPathSX.out DC2 LOF fr NewPath SY.outDC2_RT frNewPathSY.out DC2_IRT frNewPathSY.out DC2_IASA
-fr_-NewPathSY.out DC2_SVO-frNewPathSY.out DC2 LOF fr NewPath SZ.outDC2_RI frNewPathSZ.out DC2_TRI frNewPathSZ.out DC2_ASAfrNewPath_
SZ.outPage 51 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary DC2_LOPfrNewPathSZ.out DC2 HUCD fr NewPath Sh.outDC2 LDLI fr NewPath Sh.outDC2 LLD fr NewPath Sh.outDC2 LOL fr NewPath Sh.outDC2 LOP fr NewPath Sh.outDC2 HUCD fr NewPath TH.outDC2 LDLI fr NewPath TH.outDC2 LLD fr NewPath TH.outDC2 LOL fr NewPath TH.outDC2_LOPfrNewPathTH.out DC2_SVO frtNewPathSZ.out DC2 LOF fr NewPath Sh.outDC2-RT fr NewPath Sh.outDC2 TRT fr NewPath Sh.outDC2 IASA fr NewPath Sh.outDC2 SVO fr NewPath Sh.outDC2 LOF fr NewPath TH.outDC2 RT fr NewPath TH.outDC2 TRT fr NewPath TH.outDC2 IASA fr NewPath TH.outDC2_SVOfrNewPathTH.out The original analysis included an investigation the magnitude and distribution of stresses at the existingindications, contour plots at the critical transients and time points were extracted and documented in Reference
[12].A.4 Computer Runs for Appendix AA.4.1Software and HardwareANSYS version 14.5.7 (Reference
[18]), was used for Appendix A. An earlier version of ANSYS was used forthe original analysis (Reference
[12]) and this analysis only post-processes the existing
: results, the use of a recentversion of ANSYS here is acceptable.
The hardware platform (Service Tag #5VKW5SI) is an Intel  Core TM i7-2640M CPU @ 2.8GHZ, 8.00 GB Ram and Operating System (64-bit) is Microsoft Windows 7 Enterprise, Copyright
&#xa9; 2009, Service Pack 1. Verification tests are listed in Table A-2 and are satisfactory.
A.4.2 Computer FilesAll computer files, including the computer input/output files for the analysis in this document, and the computerprogram test cases are listed in this section.
All files are available in AREVA Inc. ColdStor storage\\cold\General-Access\32\32-9000000\32-9215965-002\official\TRS.
Test case vm56 from Reference
[18] was run to verify that the answers are correct.
The file vm56.vrt containsoutput from the test case. Review of the output files shows that the answers are identical to those contained inReference
[18].1.2.3.4.5.Computer program tested: ANSYS Version 14.5.7Computer hardware used: Same as listed in Section A.4.AName of person running test: Silvester NoronhaDate of test: 5/7/2014Results and acceptability:
The results in vm56.vrt, listed in Table A-2, agree exactly with the values in theANSYS manual (Reference
[18]).Page 52 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table A-2: Computer File List for Appendix ANameDC2_HUCD frNewPathSX.out DC2_HUCD frNewPathSY.out DC2_HUCD frNewPathSZ.out DC2_HUCD frNewPathSh.out DC2_HUCD frNewPathTH.out DC2 IASA fr NewPath SX.outDC2_IASA frNewPathSY.out DC2_IASA frNewPathSZ.out DC2_IASA frNewPathSh.out DC2_IASA frNewPathTH.out DC2_LDLI frNewPathSX.out DC2 LDLI fr NewPath SY.outDC2_LDLI frNewPathSZ.out DC2_LDLI frNewPathSh.out DC2_LDLI frNewPathTH.out DC2.LLD.fr.NewPathSX.aut DC2_LLD frNewPathSY.out DC2 LLD fr NewPath SZ.outDC2_LLD frNewPathSh.out DC2_LLD frNewPathSTH.out DC2_LOFLfrNewPathTSX.out DC2_LOF frNewPathSY.out DC2_LOF frNewPathSZ.out DC2 LOF fr NewPath Sh.outDC2_LOF frNewPathSTH.out DC2_LOLFfrNewPathTSX.out DC2_LOL frtNewPathSY.out DC2_LOL frNewPathSZ.out DC2_LOL frNewPathSh.out DC2 LOL fr NewPath TH.outDC2_LOPLfrNewPathTSX.out DC2_LOP frNewPathSY.out DC2_LOP frNewPathSZ.out DC2_LOP frNewPathSh.out DC2 LOP fr NewPath TH.outDC2_RT-frNewPathSX.out DC2 RT fr NewPath SY.outDC2 RT fr NewPath SZ.outDC2 RT fr NewPath Sh.outDC2 RT fr NewPath TH.outDC2 SVO fr NewPath SX.outDC2 SVO fr NewPath SY.outDC2 SVO fr NewPath SZ.outDC2 SVO fr NewPath Sh.outDC2 SVO fr NewPathSTH.out DC2 TRT fr NewPathSX.out Size28880288802888028880288801672016720167201672016720364803648036480364803648034960349603496034960349602280022800228002280022800197601976019760197601976024320243202432024320243206080608060806080608021280212802128021280212807600Date/Time ModifiedCRCMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMayMay07070707070707070707070707070707070707070707070707070707070707070707070707070707070707070707201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201420142014201413:30:59 3348113:30:59 0977613:30:59 2641013:30:59 5182913:30:59 2871513:31:22 4609713:31:22 1646513:31:22 0677113:31:22 1996213:31:22 4611013:31:04 1769213:31:04 3485313:31:04 0786413:31:04 5481613:31:04 6395413:31:09 3759113:31:09 1477813:31:09 1720613:31:09 3258113:31:09 0976213:31:17 3726413:31:17 1943113:31:17 1265213:31:17 5711113:31:17 2994613:31:11 2302013:31:11 6089113:31:11 3216913:31:11 6412213:31:11 0406613:31:15 4474813:31:15 5042113:31:15 4782213:31:15 3154313:31:15 5209113:31:18 2994413:31:18 2613513:31:18 0278913:31:18 1021513:31:18 2396313:31:24 2909813:31:24 4261513:31:24 3157213:31:24 4859513:31:24 2448813:31:19 18822Page 53 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary NanmeDC2 TRT fr NewPathSY.out DC2_TRT frNewPathSZ.out DC2_TRT frNewPathSh.out DC2_TRT frNewPathTH.out DC2_fr newpath.out vm56.outvm56.vrtSize7600760076007600273056563001593Date/Time Modified CRCMay 07 2014 13:31:19 29317May 07 2014 13:31:19 51916May 07 2014 13:31:19 53650May 07 2014 13:31:19 09806May 07 2014 13:31:25 47666May 07 2014 15:39:48 56221May 07 2014 15:39:48 40729Page 54 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary APPENDIX B: WELD RESIDUAL STRESSES FOR SAFETY NOZZLE WOLFRACTURE MECHANICS ANALYSIS FOR OUTAGE 2R17B.1 PurposesThe purpose of this appendix is to summarize residual stresses to support flaw evaluations with NDEmeasurement uncertainty of the indications detected or assumed to exist based on the results of the 2013seventeenth refueling outage (2R1 7) inservice inspection.
Only indications that are considered rejectable in theoverlaid Pressurizer (PZR) Safety Nozzles of Diablo Canyon Power Plant (DCPP) Unit 2 are considered.
Theindications are reported in Reference
[B I]. Results are provided along path lines that are located in closeproximity to the found laminar indications in the Safety/Relief nozzle.B.2 Methodology This appendix provided only post processing of the database that was developed in Reference
[B3]. Path lines forobtaining the residual stresses were selected to best match the locations and sizes of the flaw indications asdescribed in Reference
[B I]. It should be noted that since the finite element is discrete and it does not exactlymatch the sketches of the Safety Nozzles provided in Reference
[B11], the selected path lines locations and sizesare only a best estimate representation of the indications locations and sizes. The interfacial
/ horizontal path linesare used to sample stresses to be used for evaluating a laminar flaw. Thus radial and shear stresses are of interestfor the interfacial
/ horizontal path line. The path lines investigated in this appendix are illustrated in Figure B-1.Figure B-I: Safety Nozzles Path linesA,_wol, A-noz, A-all B3-wol, B-noz, B-allC2_wol, C2_noz, C2_allNam- IPage 55 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary B.3 ResultsAxial (SY), hoop (SZ), radial (SX), and shear (SXY) stresses are read from the database and the result files thatwere archived in the weld residual stress document
[B3]. To ensure that the stress sampling results in the mostbounding stresses for the path lines located near the interface of the overlay and the original material (nozzle),
thepost processing for the interfacial path lines was processed while selecting either the overlay (WOL) material, thenozzle (NOZ) material, or both materials.
B.3.1 Interfacial Pathlines ResultsThe interfacial path lines are of interest for evaluating laminar flaws. Thus, only the radial and shear stresses areof interest.
As discussed before, for all interfacial path lines (except for Safety Nozzle C Interfacial Pathline 2,which is located entirely in the overlay),
three post processing runs were performed by either selecting allmaterials, overlay material, or nozzle material.
The results are documented in output files"SafetyRellief pathsALL.out",
"SafetyRellief pathsOL.out",
and "SafetyRellief pathsBASE.out".
The resultsfrom the output files are manipulated in file "Results.xlsm" to select the most bounding stresses.
The minimumand maximum values of the radial and shear stresses are tabulated in Table B-1.Table B-I: Bounding Radial and Shear Stresses for Interfacial Path linesRadial Stress (psi) Shear Stress (psi)Nozzle Path lineMinimum Maximum Minimum MaximumSafety Nozzle A(Awol, A-noz, A-all) [ ) [ ] [ ] [ ]Safety Nozzle B(B1wol, B_noz, B-all) C I C I [ I C ]Safety Nozzle C2(C2_wol, C2_noz, [ ] [ I C I C IC2 all)B.4 Computer UsageB.4.1 Software and HardwareANSYS Version 14.5.7 [B2] was used in this calculation.
Verification test cases were performed and documented herein." Computer program tested: ANSYS Version 14.5.7, verification tests vm32mod2D.vrt andvm38mod2D.vrt.
* Error notices for ANSYS Version 14.5.7 were reviewed and none apply for this analysis.
* Computer hardware used: The computer hardware used in the analysis is DELL (Service Tag #5VKW5SI).
The hardware platform is Intel CoreTM i7-2640M CPU @ 2.8 GHz, 8 GB RAM andoperating system is Microsoft Windows 7 Enterprise x 64 Edition, Version 2009, and Service Pack 1.* Name of person running the test: Silvester Noronha* Date of test: 04-10-2014 Page 56 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Acceptability:
For ANSYS 14.5.7 cases vm32mod2D, vm38mod2D were run to verify that theanswers are correct.
The files vm32niod2D.vrt and vm38mod2D.vrt contain output from the testcases. Review of the output shows that the results are acceptable.
B.4.2 Computer FilesAll ANSYS input/output files are listed in Table B-2. Pertinent files are documented in the ColdStor storage path"\cold\General-Access\32\32-9000000\32-9215965-002\official\WRS".
Table B-2: Computer FilesName Size Date/Time Modified CRCPostProcessSafetyAll.inp 4250 May 09 2014 14:32:31 25988PostProcessSafetyAll.out 30085 May 09 2014 14:32:57 25595PostProcessSafetyBase.inp 4259 May 09 2014 14:35:43 35199PostProcessSafetyBase.out 30391 May 09 2014 14:36:13 05068PostProcessSafetyOL.inp 4244 May 09 2014 14:26:19 62041PostProcessSafetyOL.out 30351 May 09 2014 14:27:06 45557Results.xlsm 55415 May 09 2014 14:39:28 26487SafetyRelliefpathsALL.out 17219 May 09 2014 14:32:57 46681SafetyRelliefpathsBASE.out17222 May 09 2014 14:36:13 60937SafetyRelliefpathsOL.out 17215 May 09 2014 14:27:06 53535vm32mod2D.vrt 624 Apr 10 2014 08:33:44 17780vm38mod2D.vrt 650 Apr 10 2014 08:30:40 36343B.5References BI. AREVA Document 38-9200149-001, (DCPP Unit 2 DIT-50540188-04-00),
"DCPP Unit 2 Pressurizer Nozzle NDE Data"B2. ANSYS Finite Element Computer Code, Version 14.5.7, ANSYS Inc., Canonsburg, PAB3. AREVA Document 32-9049062-004, "Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzle WeldOverlay Residual Stress Analysis" Page 57 Controlled DocumentAAREVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary APPENDIX C: FLAW SIZE UNCERTAINTY CONSIDERATION This appendix contains sensitivity analysis to account for NDE uncertainty in flaw size measurement.
The NDE uncertainty was estimated in Reference
[C1] to be [ ] in. on either side or [ ] in.total for the axial dimension of the laminar flaws. Incrementing the detected flaw size by [ ] in, theflaw sizes to be used for flaw evaluation becomes [ ] in. for the indications in Nozzle A and [ Iin. for the indications in Nozzle B and Nozzle C. Using the updated flaw sizes, the crack growthanalyses were performed following the procedure outlined in the main body of the document.
Thecalculations presented in this appendix used the operating stresses obtained in Appendix A and theresidual stresses obtained in Appendix B. The flaw growth evaluations were performed considering thedesign transients for the 38-year design life of the weld overlays.
The results of the flaw growthanalyses are tabulated in Table C-1. Note that unlike the zero crack growth reported in-the calculation in main body of this document, crack case FLBnoz grew [ ] in this case.Table C-1: Results of Flaw Growth Analysis with [] in NDE Uncertainty Indication Case Initial Crack Final Crack Growth (in.) CrackSize (in.) Size (in.) Increase
(%)FLwoI ] [ ] [ )A -#1, #1AFLA-noz [: [ [ [ IFLB-wol [] [ I IB -#1, #2 & #3FLB-noz [I [ JC-#4 FLC2_wo [ ) [ [ IThe flaw area calculations are presented in Table C-2 and are based on increasing the width of theindications by [ ] in. to account for NDE sizing uncertainty.
Based on these area calculations, it isshown in Table C-2, that the laminar flaw indications in Nozzle B and Nozzle C (FLB and FLC2) meetthe acceptance standards in article IWB-3514.6 of Section Xl [2] after 38 years of operation.
Indications in Nozzle A exceeds the allowable area limit of 7.5 in.2 ([assessment.
] in2 > 7.5 in2) for thisPage 58 Controlled DocumentAAR EVADocument No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table C-2: Laminar Area Evaluation with [ in NDE Uncertainty Reference FLA FLB FLC2 omes/Comments Initial flaw width, Winitiai (in.) ' J [ ] [ " Table C-1Final flaw width, Wfjnai (in.) [ I [l Table 7-5References
[4]Initial flaw length, /initial (in.) [ R f [ [ ] and [1]Final flaw length, /final i See Note (1)(wflna,/,
wiitia,,
) linitai.(inl.)
[I [] C belowA., = O. 75(wfa, x Ifnal) (in2) [ ](2) [ [1J Section 2.1.3Almit (in2) 7.5 7.5 7.5 Table IWB-3514-3 of [2]Check Aca < Aimit Not Met OK OKNote (1): Geometrically similar flaw growth is assumed in the growth analysis.
This assumption maintains a constant aspect ratio as defined by the initial flaw, Winitia/hinital.
The final flaw length,'final was computed based on Wfina determined in the growth analysis.
The assumption ofgeometric flaw shape in the growth analysis is conservative since the cyclic stresses acting at theflaw plane are taken as uniform stress over the flaw area. Under uniform stress conditions, theflaw aspect ratio will decrease during the growth making the Ifinai smaller than that computed bythe constant aspect ratio assumption.
(2) : Note that this value is more than the area limit (7.5 in2 ). However, on further analytical evaluation as permitted by IWB-3132.3
[2], it is found to be acceptable as shown below.To assess the significance of not meeting the NDE acceptance standards of IWB-3514.6 (Table IWB-3514-3),
flaw acceptance was evaluated by analysis.
Flaw acceptance by analytical evaluation ispermitted by IWB-3132.3
[3] when acceptance standards are exceeded.
In this application, theanalytical evaluation is based on Section III design rules to establish the allowable overlay weld length.The minimum required overlay length evaluation is summarized in Table C-3 where the effective overlay length (Leff) is evaluated as the actual overlay length (L,01) minus the flaw length (Lflaw).
As seenin seen in Table C-3, the overlay minimum length requirement is still satisfied for all flaws. For theindications in Nozzle A (FLA) the overlay minimum required length (Lreq) is [ ] in., which is lessthan the effective overlay length (Leff) of [ ] in. For indications in Nozzle B (FLB) and Nozzle C(FLC2), the overlay minimum required length (Lreq) is [ ] in. and [ ], which are less than theeffective overlay length (Leff) of [ ] in. and [ , in., respectively.
Thus it is concluded that thelaminar indications in all three safety/relief nozzles (Nozzle A, Nozzle B and Nozzle C) will not impactthe integrity of the overlay for 38 years of plant operation.
Page 59 Controlled DocumentAAR EVA Document No. 32-9221080-001 Diablo Canyon Unit 2 Pressurizer Safety/Relief Nozzles Laminar/Planar Flaw Analysis
-Non Proprietary Table C-3: Overlay Length Evaluation with [] in NDE Uncertainty Parameter FLA FLB FLC2 Reference/Comments Lreq = Gnet t / 0.6Sm (in) [ I [ 2 Table 7-7Lwol (in) [ (1 ](1 ](2) See notes belowLfaw (in) [ J [ ] [ J Table C-1Leff = Lwo, -Lflaw (in)Check Leff > Lreq OK OK OKNote (1): Per the design drawing the distance from the end of butter to the end of overlay at the nozzle shouldbe at least [ 1 [11]. Note this value is higher than the overlay length of [ ] used in Table 7-7,which was conservatively estimated using minimum design configuration in Reference
[11].(2): From Reference
[11] [ ]Conclusions The analysis presented above confirms that the SWOL with postulated flaws accounting for an NDEmeasurement uncertainty of [ ] in. on either side or [ ] in. total for the axial dimension of thelaminar flaws still meets the overlay length requirement per NB-3227.2[3]
in all three Safety/Relief Nozzles.
Thus, it is concluded that the laminar indications in all three nozzles will not impact theintegrity of the SWOL for 38 years of plant operation.
Computer FilesMathcad and Excel spreadsheets are used in this calculation.
The hardware platform (Service Tag#5VKW5S1) is Intel CoreTM i7-2640M CPU 2.80 GHz, 8.00 GB RAM. The operating system isMicrosoft Windows 7 Enterprise, Copyright
&#xa9; 2009, Service Pack 1.All computer files are listed in this section.
All files are available in AREVA Inc. ColdStor storage\\cold\General-Access\32\32-9000000\32-9215965-002\official\CGA.
Table C-4: Computer FilesName Size Date/Time Modified CRCLaminarFlawsUC.xmcd 913977 May 16 2014 15:50:20 16443LaminarFlawsUC.xlsx 312787 May 19 2014 11:26:32 49133References C1. AREVA Document 38-9223975-000 "DCPP2 -NDE Measurement Uncertainty Information" Page 60}}

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