ML16320A036
| ML16320A036 | |
| Person / Time | |
|---|---|
| Site: | Byron  |
| Issue date: | 09/27/2016 |
| From: | Noronha S, Reno L AREVA |
| To: | Office of Nuclear Reactor Regulation |
| Shared Package | |
| ML16320A031 | List: |
| References | |
| 32-9244389-001 | |
| Download: ML16320A036 (53) | |
Text
ATTACHMENT 4 AREVA Document #32-9244389-001, "Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly" NON-PROPRIETARY
Controlled Document 0402-01-F01 (Rev. 019, 6/25/2015)
A CALCULATION
SUMMARY
SHEET (CSS)
AREVA Safety Related: IZJYes D No Title Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary PURPOSE AND
SUMMARY
OF RESULTS:
Purpose:
The purpose of this analysis is to perform fracture mechanics evaluation of a postulated anomaly in the Exelon Byron Units 1 and 2 and Braidwood Units 1 and 2 (Byron/Braidwood) Reactor Vessel Closure Head (RVCH)
Control Rod Drive Mechanisms (CROM) I Reactor Vessel Level Indication Systems (RVLIS) I Core Exit Thermocouple (CETC) Nozzles contingency modification. According to the design specification document, Reference [8.2], this anomaly is postulated to be a 0.1 inch flaw extending 360 degrees around the circumference at the "triple point" locations where there is a confluence of three materials; the RVCH low alloy steel base material, the SB-167 Alloy 600 existing nozzle or SB-166 Alloy 690 replacement nozzle, and the [ ]
weld material. Several potential flaw propagation paths are considered in the flaw evaluations. Flaw acceptance is based on the ASME B&PV Code,Section XI criteria for applied stress intensity factor (IWB-3612) and limit load (IWB-3642), Code year 2001 with 2002 & 2003 Addenda, Reference [8.1 ], applicable to Braidwood Units 1 and 2, and Code year 2007 with 2008 Addenda, Reference [8.13], applicable to Byron Units 1 and 2.
This document is the Non-Proprietary document for 32-9237284-002.
Proprietary information is contained within bold square brackets "[ ]".
Results:
The results of the analyses demonstrate that the 0.10 inch weld anomaly is acceptable for a 40 year design life of the Byron/Braidwood CRDM/RVLIS/CETC Nozzle Repair. The minimum fracture toughness margins for flaw propagation Paths 3a/b/c and 4a/b/c have been shown to be acceptable as compared to the required margins of
°'110 for normal/upset conditions and '12 for emergency/faulted/test conditions per Section XI, IWB-3612 of References [8.1] and [8.13].
A limit load analysis was performed considering the ductile weld repair material along flaw propagation Paths 1a/b/c & 2a/b/c. The analysis showed that for the postulated circumferential flaw the minimum margin on allowable stress is [ ] For the axial flaw the minimum margin on allowable flaw depth is [ ] Fracture toughness margins have also been demonstrated for the postulated cylindrical flaws. Also for the cylindrical flaws it is shown that the applied shear stress at the remaining ligament is less than the allowable shear stress per NB-3227.2, Reference [8.10].
This document contains a total of 52 pages including pages 1-50 and Appendix A (2 pages).
If the computer software used herein is not the latest version per the EASI list, THE DOCUMENT CONTAINS AP 0402-01 requires that justification be provided.
ASSUMPTIONS THAT SHALL BE THE FOLLOWING COMPUTER CODES HAVE BEEN USED IN THIS DOCUMENT: VERIFIED PRIOR TO USE CODENERSION/REV CODENERSION/REV DYes AREVACGC 5.0 IZI No Page 1 of 52
Controlled Document A 0402-01-F01 (Rev. 019, 6/25/2015)
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Review Method: ~Design Review (Detailed Check)
D Alternate Calculation Signature Block P/R/A Name and Title and Pages/Sections (printed or typed) Signature LP/LR Date Prepared/Reviewed/Approved Luziana Reno LG RENO p All Principal Engineer 9/27/2016 Silvester Noronha SJNORONHA R All Principal Engineer 9/2712016 Tim Wiger, TMWIGER A All Manager 9/28/2016 Notes: P!RJA designates Preparer (P), Reviewer (R), Approver (A);
LP/LR designates Lead Preparer (LP), Lead Reviewer (LR)
In reviewing and approving the initial release (Rev. 000), the lead reviewer/approver shall designate 'All' in pages/sections reviewed/approved.
In reviewing and approving revisions, the lead preparer and lead reviewer shall use 'All' in the pages/sections reviewed/approved. 'All' means that the changes and the effect of the changes on the entire document have been reviewed/approved. It does not mean that the lead reviewer/approver has reviewed/approved all the pages of the document.
Project Manager Approval of Customer References (N/A if not applicable)
Name Title (printed or typed) (printed or typed) Signature Date NIA Page 2
Controlled Document A
AREVA 0402-01-F01 (Rev. 019, 6/25/2015)
Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Record of Revision Revision Pages/Sections/Paragraphs No. Changed Brief Description I Change Authorization 000 All Initial Release 001 All This is a complete Revision.
Non-Proprietary document for 32-9237284-002 Page 3
Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table of Contents Page SIGNATURE BLOCK ................................................................................................................................ 2 RECORD OF REVISION .......................................................................................................................... 3 LIST OF TABLES ..................................................................................................................................... 6 LIST OF FIGURES ................................................................................................................................... 7 1.0 PURPOSEANDSCOPE ............................................................................................................... 8 2.0 METHODOLOGY .......................................................................................................................... 9 2.1 Postulated Flaws ...............................................................................................................................9 2.2 Stress Intensity Factor (SIF) Solutions ............................................................................................ 10 2.3 Fatigue Crack Growth Laws ............................................................................................................ 12 2.4 Fatigue Crack Growth Calculations ................................................................................................. 14 2.5 Acceptance Criteria ......................................................................................................................... 14 3.0 ASSUMPTIONS .......................................................................................................................... 16 3.1 Unverified Assumptions ................................................................................................................... 16 3.2 Justified Assumptions ...................................................................................................................... 16 3.3 Modelling Simplifications ................................................................................................................. 16 4.0 DESIGN INPUTS ........................................................................................................................ 17 4.1 Geometry ......................................................................................................................................... 17 4.2 Material Strength ............................................................................................................................. 17 4.3 Fracture Toughness ........................................................................................................................ 18 4.4 Applied Stresses Intensity Factor Calculation ................................................................................. 18 5.0 CALCULATIONS ......................................................................................................................... 22 5.1 Circumferential Flaw for Paths 1a/b/c & 2a/b/c ............................................................................... 22 5.2 Axial Flaw for Paths 1a/b/c & 2a/b/c ...............................................................................................25 5.3 Cylindrical Flaw for Paths 3a/b/c & 4a/b/c ....................................................................................... 30 6.0 RESULTS .................................................................................................................................... 45 6.1 Fatigue Crack Growth of Continuous External Circumferential Flaw .............................................. 45 6.2 Fatigue Crack Growth of Semi-Circular External Axial Flaw ........................................................... 45 6.3 Fatigue Crack Growth of Continuous Cylindrical Flaw along Paths 3a & 4a .................................. 45 6.4 Fatigue Crack Growth of Continuous Cylindrical Flaw along Paths 3b & 4b .................................. 46 6.5 Fatigue Crack Growth of Continuous Cylindrical Flaw along Paths 3c & 4c .................................. 47 7.0 COMPUTER USAGE .................................................................................................................. 48 7.1 Validation .........................................................................................................................................48 Page 4
Controlled Docurnent A Document No. 32-9244389-001 AREVA Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table of Contents (continued)
Page 7.2 Computer Files ................................................................................................................................48
8.0 REFERENCES
............................................................................................................................ 50 APPENDIX A: VERIFICATION OF SIF FOR CYLINDRICAL FLAW .................................................. A-1 Page 5.
Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary List of Tables Page Table 4 Material Strength .................................................................................................................. 18 Table 4 Operating Transients and Cycles ........................................................................................ 19 Table 4 Replacement Nozzle Internal Mechanical Loads ................................................................. 20 Table 4-4 -Axial Stresses due to Seismic Loads ................................................................................... 21 Table 5 Crack Growth for 360° Circumferential Flaw (Paths 1a/b/c and 2a/b/c) .............................. 22 Table 5 Individual Transient Contribution to Crack Growth for 360° Circumferential Flaw (Paths 1a/band 2a/b) .......................................................................................................... 23 Table 5 Individual Transient Contribution to Crack Growth for 360° Circumferential Flaw (Paths 1c and 2c) ................................................................................................................. 24 Table 5 End of Life Evaluation for Continuous External Circumferential Flaw (Limit Load) ............. 25 Table 5 Radial Crack Growth for Axial Flaw ..................................................................................... 25 Table 5 Axial Crack Growth for Axial Flaw ....................................................................................... 25 Table 5 Individual Transient Contribution to Radial Crack Growth for Axial Flaw (Paths 1a/b and 2a/b) .............................................................................................................................. 26 Table 5 Individual Transient Contribution to Axial Crack Growth for Axial Flaw (Paths 1a/b and 2a/b) .............................................................................................................................. 27 Table 5 Individual Transient Contribution to Radial Crack Growth for Axial Flaw (Paths 1c and 2c) ................................................................................................................................. 28 Table 5 Individual Transient Contribution to Axial Crack Growth for Axial Flaw (Paths 1c and 2c) ................................................................................................................................. 29 Table 5 End of Life Evaluation for External Axial Flaw (Limit Load) ............................................... 30 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3a (Bottom Corner) ................... 31 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3b (Bottom Corner) ................... 32 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3c (Bottom Corner) ................... 33 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4a (Bottom Corner) ................... 34 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4b (Bottom Corner) ................... 35 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4c (Bottom Corner) ................... 36 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3a (Top Corner) ........................ 37 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3b (Top Corner) ........................ 38 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3c (Top Corner) ........................ 39 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4a (Top Corner) ....................... .40 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4b (Top Corner) ........................ 41 Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4c (Top Corner) ........................ 42 Table 5 Final Crack Depth for Cylindrical Flaw (Bottom Corner) .................................................... 43 Table 5 Final Crack Depth for Cylindrical Flaw (Top Corner) ......................................................... 43 Table 5 LEFM Margin for Cylindrical Flaw ...................................................................................... 44 Table 7 Computer Files for Crack Growth Evaluation ..................................................................... .49 Page 6
Controlled Document A.
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary List of Figures Page Figure 2 Illustration of Crack Propagation Paths .............................................................................. 1O Figure 2 OD, Partial Through-Wall, 360° Circumferential Flaw ........................................................ 11 Figure 2 OD, Partial Through-Wall, Semi-Elliptical Axial Flaw ......................................................... 11 Page 7
Controlled Document AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 1.0 PURPOSE AND SCOPE As required by the Design Specification document, Reference [8.2], the purpose of this analysis is to perform fracture mechanics evaluation of a postulated anomaly in the Exelon Byron Units 1 and 2 and Braidwood Units 1
& 2 (Byron/Braidwood) Reactor Vessel Closure Head (RVCH) Control Rod Drive Mechanisms (CRDM) I Reactor Vessel Level Indication Systems (RVLIS) I Core Exit Thermocouple (CETC) Nozzle contingency modification.
Per Reference [8.2], this anomaly is postulated to be a 0.1 inch flaw extending 360 degrees around the circumference at the "triple point" locations where there is a confluence of three materials; the RVCH low alloy steel base material, the SB-167 Alloy 600 existing nozzle or SB-166 Alloy 690 replacement nozzle, and the
[ ] weld material. Several potential flaw propagation paths are considered in the flaw evaluations.
Flaw acceptance is based on the ASME B&PV Code,Section XI criteria for applied stress intensity factor (IWB-3612) and limit load (IWB-3642) of Code year 2001with2002 & 2003 Addenda, Reference [8.1], applicable to Braidwood Units 1 and 2, and Code year 2007 with 2008 Addenda, Reference [8.13], applicable to Byron Units 1 and 2.
The repair scope includes potential nozzle modifications at any of the Control Rod Drive Mechanisms (CRDM),
the Reactor Vessel Level Indication Systems (RVLIS) and/or the Core Exit Thermocouple (CETC). Therefore, the Section XI analysis must bound all CRDM, RVLIS, and CETC locations on the RVCH. Per Reference [8.3],
the CETC Nozzle is considered to be the controlling component, and therefore, this analysis will consider the CETC Nozzle only.
The present fracture mechanics analysis provides justification, in accordance with Section XI of the ASME B&PV Code, References [8.1] and [8.13], for operating with the postulated weld anomaly at the upper and lower triple point locations defined for the CETC nozzle. Predictions of fatigue crack growth are based on the original design life of 40 years, Reference [8.4].
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 2.0 METHODOLOGY This section presents several aspects of linear elastic fracture mechanics (LEFM) and limit load analysis (used to address the ductile weld materials) that form the basis of the present flaw evaluation.
2.1 Postulated Flaws The triple point weld anomaly is postulated to be semi-circular in shape with an initial depth of 0.1 , as indicated in Reference [8.2]. It is further assumed that the anomaly extends 360° around the new repair weld.
The anomaly could be located in the upper and lower triple point regions, the regions are called "triple point" since three materials intersect at these locations. The materials are:
- The existing nozzle material, SB-167 -Alloy 600 (Upper Triple Point) or the replacement nozzle material, SB-166 -Alloy 690 (Lower Triple Point), Reference [8.2].
- The new weld filler material, [ ] Reference [8.2].
- The RV closure head material, SA-533 Grade B Class 1, Reference [8.2].
Three flaw types are postulated to simulate various orientations and propagation directions for the weld anomaly.
A circumferential flaw and an axial flaw at the outside surface of the new weld would both propagate in the horizontal direction toward the inside surface of the new weld. The cylindrically oriented flaws along the interface between the weld and RV closure head would propagate downward between the two components from the top flaw tip and upward between the two components from the bottom flaw tip. The horizontal and vertical flaw propagation directions are represented in Figure 2-1, Reference [8.3], by separate paths for the downhill and uphill sides of the Nozzle, as discussed below. For both these directions, fatigue crack growth will be calculated.
Horizontal Direction (Paths la/b/c and 2a/b/c):
Flaw propagation is across the Nozzle IDTB Weld wall thickness from the OD to the ID of the IDTB Weld. These are the shortest paths through the component wall passing through the new [ ] weld material at the upper (Paths la, lb and le) and lower triple points (Paths 2a, 2b, and 2c), Reference [8.2].
For completeness, two types of flaws are postulated at the outside surface of the tube. A 360° continuous circumferential flaw, lying in a horizontal plane, is considered to be a conservative representation of crack-like defects that may exist in the weld anomaly. This flaw would be subjected to axial stresses in the tube. An axially oriented semi-circular outside surface flaw is also considered since it would lie in a plane that is nonnal to the higher circmnferential stresses. Both of these flaws would propagate toward the inside surface of the tube.
Vertical Direction (Paths 3a/b/c and 4a/b/c):
Flaw propagation is at the outside surface of the repair weld between the weld and the RVCH. A continuous surface flaw is postulated to lie along this cylindrical interface between the two materials. This flaw, driven by radial stresses, may propagate along either the new [ ] weld material or the SA-533, Gr. B RVCH material from either corner (top or bottom). Flaws along Paths 3a, 3b, and 3c are postulated in the weld and flaws along Paths 4a, 4b, and 4c are postulated in the RVCH.
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Figure 2 Illustration of Crack Propagation Paths 2.2 Stress Intensity Factor (SIF) Solutions Three flaw types are postulated for the cmrent evaluation of the weld anomaly defect at the triple points. For paths la/b/c and 2a/b/c both 360° circumferential and axial smface flaws at the OD of the IDTB weld are postulated.
The solutions for both types of flaws are available in the AREY ACGC code, Reference [8.5], which implements the Stress Intensity Factor (SIF) evaluation for these types of flaws using the weight function method, which accounts for highly nonlinear stress distributions. AREY ACGC performs the fatigue crack growth calculations, in which the weld residual and transient stress di tributions are directly used to calculate the SIF using weight function method, with no polynomial fitting of the stress distribution required. The schematics for both the 360° circumferential and axial flaws postulated at the OD of the IDTB weld are illustrated in Figme 2-2 and Figure 2-3, respectively.
For the vertical paths (3a/b/c and 4a/b/c), a cylindrical flaw i postulated along the interface between the new repair weld and the RV head material. The potential for flaw propagation along this interface is likely if radial stresses are significant between the weld and head. Thi assessment utilizes an SIF solution for a continuous surface crack in a flat plate from Appendix A Section X1 of the ASME B&PV Code, References [8.1] and [8.13].
Flat plate solutions are routinely used to evaluate flaws in cylindrical components such a the repair weld. The flat plate solution is inherently conservative for this application since the added constraint provided by the cylindrical structme reduces the crack opening displacements. Crack growth analysis is performed considering propagation through the [ ) weld metal or the low alloy steel RVCH material. To facilitate the calculation of the SIF for the cylindrical flaw, a visual basic code, Kleff_edge, was developed based on the theory in Appendix A Section X1 of the ASME B&PV Code, References [8.1] and [8.13]. Appendi x A of thi s docwnent provides verification of the Kleff_edge visual basic function against hand calculations.
As shown in Appendix A, a third order polynomial fit was used to represent the weld residual and transient stress di stributions over the flaw depth for evaluating the cylindrical flaws. Although through-the-thickness weld Page 10
Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary residual stress distributions can be highly nonlinear in general, the polynomial fit only needs to describe the stress distribution over much shorter length (crack depth) (see Section XI, A-3200(b) of References [8.1] and [8.13]).
Thi short segment, representing only a small percentage of the overall through-the-thickness tress distribution (see maximum finaJ flaw size on Table 5-24), can be adequately represented with a third order fit as used in this analysis.
Postulated 360° Circumferential Flaw at the OD IDTB Weld Figure 2 OD, Partial Through-Wall, 360° Circumferential Flaw Flaw Propagation Path r
I I
I Conpone ~t \./o.ll t SeMi-Elliptico.l Flaw L 1. .1 a.
Where, a= initial flaw depth 1 = 2a = flaw length t = thickness Figure 2 OD, Partial Through-Wall, Semi-Elliptical Axial Flaw Page 11
Controlled Docun1ent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 2.3 Fatigue Crack Growth Laws Flaw growth due to fatigue is characterized by Where C 0 and n are constants that depend on the material and environmental conditions, ~K1 is the range of applied stress intensity factor in tenns of ksiv'in, and da/dN is the incremental flaw growth in tenns of inches/cycle. For the embedded weld anomaly considered in the present analysis at the upper triple point, it is appropriate to use crack growth rates for an air environment. For the embedded weld anomaly considered at the lower triple point, the crack growth rates for material exposed to light-water reactor enviromnents is utilized.
Fatigue crack growth is also dependent on the ratio of the minimum to the maximum stress intensity factor; i.e.,
SA-533 Grade B Low Alloy Steel Material (RVCfil From Article A-4300 of Section XI, References [8.1] and [8.13], the fatigue crack growth constants for flaws in an air enviromnent are:
n= 3.07 C0 = 1.99 xl0-' 0 S 3 07 S is a scaling parameter to account for the R ratio and is given by S = 25. 72 (2.88 - Rr * , where 0 :SR :S 1 and
~1 = Kmax - Kmin* For R < 0, ~1 depends on the crack depth, a, and the flow stress, C)f. The flow stress is defined by CJf = '.12(crys + cru11), where crys is the yield strength and CJu1t is the ultimate tensile strength. For -2 :S R :S 0 and Kmax - Kmin :S 1.12 crfv'na, S= 1 and ~Kr= Kmax* For R < -2 and Kmax - Kmin :S 1.12 crrv'na, S = 1 and ~Kr= (1
- R) Kmax/3. For R < 0 and Kma" - Kmin > 1.12 crrv'na, S = 1 and ~Kr= Kma" - Kmin*
From Article A-4300, References [8.1] and [8.13], for material exposed to light-water reactor environments, the fatigue crack growth constants are:
~r = Kmax- Kmin*
0 :SR :S 0.25, ~r< 17.74 n = 5.95 s = 1.0 Co= 1.02 x 10-12s n = 1.95 s = 1.0 Co= 1.01 x 10-1s 025 0.25 < R < 0.65, ~r < 17.74 [(3.75R + 0.06Y(26.9R - 5.725)]
n = 5.95 S = 26.9S - 5.725 Co= 1.02 x 10-12 s
~K, 2: 17.74[(3.75R + 0.06Y(26.9R - 5.725)] 025 Page 12
Controlled Oocurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary n= 1.95 S = 3.75R + 0.06 Co= 1.01 x 10-1 s 0.65 :::; R:::; 1.00, ilK1 < 12.04 n= 5.95 S=ll.76 Co= 1.02 x 10-12s ilKr ~ 12.04 n= 1.95 s = 2.5 Co= 1.01 x 10-1s Additionally, per A-4300(b)(2) of References [8.1] and [8.13], ifthe fatigue crack growth rate from light-water reactor enviromnents is lower than air envirorunents, the rate in air should be used.
[ _ ] Weld Metal Flaw growth in the IDTB Weld ([ ]) and/or Alloy Nozzle in contact with air due to cyclic loading is calculated using the fatigue crack growth model presented in NUREG/CR-6907, Reference [8.6]. As per reference
[8.6] a multiplier of 2 is applied to the Alloy 600 crack growth rate. Crack growth analysis is then conducted on a cycle-by-cycle basis to the end of service life. The crack growth rate equation for [ ] in air to be used is then given by:
Where LlK is the stress intensity factor range in ten11S of MPa-fm and da/dN is the crack growth rate in terms of m/cycle, and C = 4.835xl0- 14 + 1.622xl0- 16T - 1.490xl0-18T2 + 4.355xl0-21 T3 22 sR = (1 - o.82Rr T =degrees C n= 4.1 R = Kmin I Kmax The fatigue growth rate of [ ] in contact with light-water reactor enviromnent due to cyclic loading is calculated using the fatigue crack growth model presented in NUREG/CR-6907, Reference [8.6]. As per reference [8.6] a multiplier of 2 is applied to the Alloy 600 crack growth rate. Crack growth analysis is then conducted on a cycle-by-cycle basis to the end of service life. The crack growth rate equation for [ ]
in light water envirom11ent to be used is then given by:
Where LlK is the stress intensity factor range in terms of MPa-lm and da/dN is the crack growth rate in terms of m/cycle, and C = 4.835x10- 14 + 1.622xl0- 16T - 1.490xl0- 18T2 + 4.355x10- 21 T3 Page 13
Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary sR = (1- o.82Rr2*2 SENv =I+ A(C SR Af(nr 1 TR1-m A=4.4x 10-7 m= 0.33 T= degrees C n= 4.1 R = Kmin / Kmax TR= rise time, set at 30 seconds 2.4 Fatigue Crack Growth Calculations For the flaw types postulated along paths la/b/c and 2a/b/c, the AREV ACGC EXCEL based program, Reference
[8.5], will be used to perfonn the fatigue crack growth calculation and estimate the final flaw size.
For the cylindrical flaws postulated along paths 3a/b/c and 4a/b/c, crack growths were estimated using EXCEL spread sheets. Crack growths for paths 3a/b/c and 4a/b/c are calculated by incrementally adding crack growth for one year at the time. Crack growth for one year is the summation of crack growth due to all transients for one year. Crack growth is incrementally linked such that the crack growth contribution from one transient is used to update the crack depth for the subsequent transient.
2.5 Acceptance Criteria For postulated axial and circumferential flaws in the [ ] repair weld the acceptance criteria in IWB-3642, References [8.1] and [8.13], is used. IWB-3642 states that "piping containing flaws exceeding the acceptance standards ofIWB-3514.1 may be evaluated using analytical procedures described in Appendix C and is acceptable for continued service during the evaluated time period when the critical flaw parameters satisfy the criteria in Appendix C." According to C-4230, References [8.1] and [8.13], for flaws in Ni-Cr-Fe weld metal, flaw evaluation procedures of C-4210 shall be used. Based on Figure C-4210-1 of References [8.1] and [8.13], for a flaw in austenitic/Ni-Cr-Fe weld material that uses non-flux welds, Section C-5000, References [8.1] and [8.13],
is to be used for flaw evaluation.
For the postulated cylindrical flaw in the low alloy steel RVCH material, IWB-3612 acceptance criteria of Section XI, References [8.1] and [8.13], is used. According to IWB-3612 a flaw is acceptable if the applied stress intensity factor for the flaw dimension ar satisfy the following criteria.
(a) For normal and upset conditions:
K1 < K1a /...,/I 0 per Reference [8.1] (applicable to Braidwood Units 1 and 2)
K1 < K1c /..../IO per Reference [8.13] (applicable to Byron Units 1 and 2)
Where:
K1 = applied stress intensity factor for nonnal, upset, and test conditions for flaw dimension ar.
K1* =fracture toughness based on crack arrest for the corresponding crack-tip temperature K1c =fracture toughness based on crack initiation for the corresponding crack-tip temperature ar =end-of-evaluation-period flaw depth Per Section A-4200 of References [8.1] and [8.13], K1c = 33.2 + 20.734 exp[0.02 (T- RTNDT)] and K1a = 26.8 +
12.445 exp[0.0145 (T - RTNoT)], where K1c and K1a are in units of ksi..../in and T and RTNoT and in units of °F.
Fracture toughness curves for SA-533 Grade B Class 1 material is illustrated in Figure A-4200-1 of References Page 14
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary
[8.1] and [8.13] and it shows that K1a < Kic for any given temperature. Therefore, acceptance criteria for normal and upset conditions of Kr < Kra 1-VlO, provided in Reference [8.1], is conservatively used in this analysis for Byron Units 1 and 2.
(b) For emergency, faulted, and test conditions:
Where:
Kr= applied stress intensity factor for emergency, faulted, and test conditions for flaw dimension ar.
Kic =fracture toughness based on crack initiation for the corresponding crack-tip temperature ar = end-of-evaluation-period flaw depth For the postulated cylindrical flaw in the [ ] weld repair material, IWB-3612 acceptance criteria is not evaluated since a limit load solution is not available for such a flaw in the ASME B&PV Code, References
[8.1] and [8.13]. The shear stress at the remaining ligament for the maximum crack growth for this flaw type at the end of the plant life is evaluated per NB-3227.2, Reference [8.10].
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 3.0 ASSUMPTIONS 3.1 Unverified Assumptions There are no unverified assumptions used herein. Justified assumptions and modelling simplifications are detailed in the following sections.
3.2 Justified Assumptions 3.2.1 The anomaly is postulated to include a "crack-like" defect, located at the upper and lower "triple-point" locations. For analytical purposes, a continuous circumferential flaw is located in the horizontal plane. Another continuous flaw is located in the cylindrical plane between the weld andRVCH.
3.2.2 In the radial plane, the anomaly is assumed to include a quarter-circular "crack-like" defect. For analytical purposes, a semi-circular flaw is used to represent the radial cross-section of the anomaly.
3.2.3 In the interface of IDTB weld and RVCH bore, the anomaly is assumed to include a cylindrical-flaw like defect. For analytical purposes, a flaw in a semi-infinite plate is used to represent the radial cross-section of the anomaly.
3.2.4 The CRDM housing nozzles function as mechanical mounts for the CRDM. The CRDM are relatively tall, slender structures that may be subjected to seismic or other motions resulting in bending loads on the 'CRDM nozzle-to-head connection' weld. However, mechanical loads from the CRDM are transmitted to the head through the interference fit region. The design feature effectively shields the 'CRDM nozzle-to-head connection' weld from being subject to external loads. Therefore, external loads are not applicable to the CRDM nozzle weld repair. The same justified assumption applies to the RVLIS and CETC Nozzles. No external loads are considered on the existing nozzle which extends above the RVCH top surface.
3.3 Modelling Simplifications 3.3 .1 Dimensions used for the analyses are based on nominal values. This is considered to be standard practice in stress analysis and fracture mechanics analysis.
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Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 4.0 DESIGN INPUTS The regions of interest for the present flaw evaluations are the upper and lower triple point locations, where three different materials intersect. These materials are the existing or the replacement Nozzle material, the new IDTB repair weld materialand the RVCH material. The Byron/Braidwood existing Nozzle is made ofSB-167 Alloy 600 material, the replacement nozzle is made of SB-166 Alloy 690, the new weld is made of [ ], and the RVCH is fabricated of SA-533 Grade B Class 1, Reference [8.2].
4.1 Geometry Pertinent geometry parameters used for flaw evaluations are provided below:
Paths la/b/c & 2a/b/c:
The following dimensions are used for evaluating the 360° circumferential flaw and axial flaw postulated along paths la/b/c & 2a/b/c. Dimensions obtained from Reference [8.7] bounds the dimensions from CRDM and RVLIS IDTB weld, Reference [8.12].
Existing Nozzle/Bore OD = [ ] in Reference [8.7]
Existing Nozzle ID at IDTB Weld= [ ] in Detail C, Step 5 of Reference [8.7] (Note 1)
Path la/b/c Thickness, tr= [ ] m Replacement Nozzle OD = [ ] m Reference [8.7] - See Note 20 and Diameter "Dl" Repair Nozzle ID at IDTB Weld= [ ] m Detail C, Step 5 of Reference [8.7] (Note 1)
Path 2a/b/c Thickness, t2 = [ ] in Initial flaw depth, ai = 0.1 in Reference [8.2]
Note 1: Repair and existing Nozzle ID at IDTB Weld are modeled as [ ] inches in the Section III and Weld Residual Stress analyses, References [8.3] and [8.9], respectively, which is the same as the ID of the nozzle before the nozzle is bored out. This modelling simplification in References [8.3] and [8.9] does not impact the accuracy of the results of this analysis which uses ID of [ ] inches at IDTB Weld.
Paths 3a/b/c & 4a/b/c:
The cylindrical flaws postulated along paths 3a/b/c and 4a/b/c propagate along the interface between the IDTB repair weld and the RV Closure Head. The controlling length of this interface is 1.28 inches at paths 3a/b/c and 4a/b/c, References [8.7] and [8.12]. The initial flaw depth is postulated to be 0.1 inches, Reference [8.2].
4.2 Material Strength Reference [8.3] provides the material sh*ength pertinent for the flaw evaluation assessment of the weld anomaly in this document. Table 4-1 lists the values of yield strength (cry) and ultimate strength (ault).
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Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 4 Material Strength Material Component Temp. I Yield Strength, Gy I Ultimate Strength, Gutt I (oF) (ksi) (ksi) I RVCH SA-533 Gr. B Cl. 1 Weld Filler [ 1 Equivalent [ ] IDTB Weld
[ 1 properties Note (I). Interpolated values. ...
4.3 Fracture Toughness 4.3.1 Low Alloy Steel RV Head Material The maximum nil ductility temperature (RTNoT) for the low alloy steel RVCH is [ ] for Byron Unit 1, Reference [8.11]. Fracture toughness curves for SA-533 Grade B Class 1 material is illustrated in Figure A-4200-1 of References [8.1] and [8.13]. At an operating temperature of about [ ], Reference [8.3], the K1a fracture toughness values for this material (using RTNoT of [ ]) are above 200 ksi'1in. An upper bound value of 200 ksi'1in will be conservatively used for the present flaw evaluations.
4.3.2 [ ] Material Brittle fracture is not a credible failure mechanism for ductile materials such as [ ] the failure mechanism for the [ ] materials is limit load or ductile crack extension (EPFM). IWB-3612 acceptance criteria for the cylindrical flaw postulated in the repair weld are not evaluated since a limit load solution is not available for such a flaw in the ASME B&PV Code, References [8.1] and [8.13]. The shear stress at the remaining ligament for the maximwn crack growth in the [ ] weld repair material at the end of the plant life is evaluated per NB-3227.2, Reference [8.10].
4.4 Applied Stresses Intensity Factor Calculation As mentioned in Section 2.2, the weight function method implemented in AREYACGC, Reference [8.5] was used to calculate the SIF for the OD continuous circumferential and axial surface flaws. For the cylindrical flaw, the SIF solution given in Appendix A of Section XI, References [8.1] and [8.13], was used to calculate the SIF.
4.4.1 Transient Stresses The cyclic operating stresses that are needed to calculate fatigue crack growth are obtained from a thermo-elastic finite element analysis, Reference [8.3]. These cyclic stresses are developed for all the transients at a number of time points to capture the maximum and minimum stresses due to fluctuations in pressure and temperature. Per References [8.3], the number of RCS design transients is established for 40 years of design life. Cyclic operating stresses were generated in Reference [8.3] for the transients listed in Reference [8.4]. The transients that have trivial contribution to fatigue are not considered per Reference [8.3]. The transient cycle counts used in this calculation are obtained from Reference [8.4]. The operating transients are listed in Table 4-2.
All radial paths go from ID to OD of the IDTB weld; all the vertical paths go from bottom to top. Stresses are provided for 12 equidistant intervals along the path lines.
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 4 Operating Transients and Cycles Condition 1 Transient I File Name Convention I Number of Cycles l_
Normal Upset Emergency Faulted Test Upset Page 19
Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 4.4.2 External Loads The CRDM housing nozzles function as mechanical mounts for the CRDM. The CRDM are relatively tall, slender structures that may be subjected to seismic or other motions resulting in bending loads on the 'CRDM nozzle-to-head connection' weld. However, mechanical loads from the CRDM are transmitted to the head through the interference fit region. The design feature effectively shields the 'CRDM nozzle-to-head connection' weld from being subject to external loads. Therefore, external loads are not applicable to the CRDM nozzle weld repair.
The same justified assumption applies to the RVLIS and CETC Nozzles. No external loads are considered on the existing nozzle which extends above the RVCH top surface.
4.4.3 Replacement Nozzle Loads Loads at the existing J-groove weld due to loads on the nozzle inside the vessel are supplied in PWROG-14067, Reference [8.4] and shown in Table 4-3. These will be refe1Ted to as 'Internal' loads to avoid confusion with loads occurring outside the vessel. The new repair nozzle is secured by the IDTB weld. Therefore, these same loads will be used to determine the stress distribution acting on the path lines due to loading from inside the vessel. [ ]
cycles of OBE seismic loading, per TODI-BYR-15-012, Reference [8.4], will be considered.
Table 4 Replacement Nozzle Internal Mechanical Loads Bending Load Description Axial (lbs) Shear (lbs)
Moment in-lbs Deadweight Flow-Induced Vibration+
Pwnp-lnduced Vibration OBE The effect of deadweight and flow/pwnp induced vibration loads is addressed by adding these loads as additional stresses to the transient and residual stresses for fatigue crack growth evaluation in AREVACGC, Reference [8.5].
Seismic effects are addressed as described in Section 4.4.4.
4.4.4 Seismic Event The effect of the seismic OBE loads on fatigue crack growth is addressed by modeling the seismic event as a transient event. The OBE loads as obtained from Reference [8.4] acting on the path lines are shown in Table 4-3.
These OBE loads are converted to axial stresses according to F
- z Mb d.
Axial Stress = axia + en mg A S0 Where S0 is the OD section modulus conservatively used in the calculation. The results are given in Table 4-4.
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Controlled Oocurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 4 Axial Stresses due to Seismic Loads Path Line OBE (+/-)
la/lb/le 2a/2b/2c Axial Stress, psi [ ] [ ]
The baseline through-wall axial stress distribution for each path line is obtained from the stress state at the steady state conditions. This corresponds to the last time point of transient HU. Per TODI-BYR-15-012, Reference [8.4],
the total lifetime number of OBE cycles is [ ]
4.4.5 Residual Stresses A three-dimensional elastic-plastic finite element analysis, Reference [8.9] was perfonned to simulate the sequence of steps involved in arriving at the configuration of the weld repair of CRDM/RVLIS/CETC Nozzle in the RVCH of Byron/Braidwood Units 1 and 2. The residual stress analysis, Reference [8.9], simulated welding of the existing J-groove weld and butter; machining of the nozzle and IDTB weld prep; attaching Alloy 690 replacement nozzle; welding of the IDTB weld repair with [ ] Operation at steady state temperature and pressme conditions and return to zero load conditions was also simulated after the completion of the weld simulation.
The residual stresses are provided by Reference [8.9] for the path lines identified in Figme 2-1. All radial paths go from OD to ID of the IDTB weld; all the vertical paths go from top to bottom. Stresses are provided for 20 equidistant intervals along the path lines. Since transient stresses provided in Reference [8.3] are provided for 12 equidistant intervals along the path lines, residual stresses are mapped to 12 equidistant intervals and to go from ID to OD of the IDTB weld (radial paths) and from bottom to top (vertical paths) to match stress distribution from Reference [8.3]. Weld residual stresses are linearly added to the transient stresses.
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Controlled Docun1ent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 5.0 CALCULATIONS Assessment of a flaw like triple point anomaly in the Byron/Braidwood Nozzle repair was completed using three flaw types that were postulated to fonn in the vicinity of the triple point. For every postulated flaw type a crack growth analysis was conducted to detennine the final flaw size after 40 years of operation. After the final flaw size is determined, the flaw is assessed to determine the safety margins and compliance with the flaw acceptance criteria outlined in Section 2.5.
5.1 Circumferential Flaw for Paths 1a/b/c & 2a/b/c 5.1.1 Circumferential Flaw Growth Analysis (Paths 1a/b/c and 2a/b/c)
AREY ACGC, Reference [8.5] was used to determine the final flaw depth due to fatigue crack growth. A swnmary of the final flaw depths is given in Table 5-1 for paths la, 1b, le, 2a, 2b and 2c. Contribution of the individual transients to crack growth is given in Table 5-2 for paths la, lb, 2a, and 2b and in Table 5-3 for paths le and 2c.
Table 5 Crack Growth for 360° Circumferential Flaw (Paths 1a/b/c and 2a/b/c)
Path Path la Path lb Path le Path 2a Path 2b Path 2c Initial Flaw Depth (in)=
Initial alt ratio=
0.1000 0.1000 0.1000 0.1000 0.1000 0.1000 Final Flaw Depth (in) =
Final alt ratio=
Total amount of Fatigue Crack Growth (in)=
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Controlled Document AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Individual Transient Contribution to Crack Growth for 360° Circumferential Flaw (Paths 1a/b and 2a/b)
Path Path la Path lb Path 2a Path 2b Growth Growth Growth Growth Transient I Percent I Percent I Percent I Percent
- (in) (in) (in) (in)
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Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Individual Transient Contribution to Crack Growth for 360° Circumferential Flaw (Paths 1c and 2c)
Path Path le Path 2c
. Transient Growth I Percent Growth
\ Percent (in) (in) 5.1.2 Flaw Evaluation for OD Circumferential Flaw (Paths 1a/b/c & 2a/b/c)
As mentioned in Section 2.5, Article C-5000 of References [8.1] and [8.13] contains the appropriate flaw evaluation procedure for the end of life OD circumferential flaw. As shown in Table 5-1, since the final flaw depth along path 2a is the greatest between the other paths, the final flaw depth for path 2a is used for the end of life flaw evaluation and conservatively using the dimensions of paths 1a/b/c which have the smallest thicknesses.
Table 5-4 shows details of the end of life flaw evaluation analysis performed to assess the postulated continuous circumferential flaw. It is seen from Table 5-4 that the allowable stress is higher than the applied membrane stress by 3 .17 times safety factor.
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Controlled Docun1ent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 End of Life Evaluation for Continuous External Circumferential Flaw (Limit Load)
Yield Strength, cry = [ ] ksi Ultimate Strength, O"uJ1 = [ ] ksi Pressure, p = [ ] psi Outside Radius, R0 = [ ] lll Inside Radius, Ri = [ ] in Mean Radius, Rm = [ ] lll Thickness, t = [ ] lll Final Flaw Depth, ar = [ ] lll O"m = pD 0 /4t = [ ] ksi Flow strength, crr = [ ] ksi Safety Factor, SF111 = 2.7 8= 3.1416 rad O"mc = crr/ [l-(alt)(8hc)-2<!>/n:] = [ ] ksi
<!> = arcsin[0.5(alt)sin8] = 0 rad S1 = O"mc I SFm = [ ] ksi Margin, Si/crm = [ ]
5.2 Axial Flaw for Paths 1a/b/c & 2a/b/c 5.2.1 Axial Flaw Growth Analysis (Paths 1a/b/c & 2a/b/c)
AREY ACGC, Reference [8.5] was used to determine the final flaw depth due to fatigue crack growth. For each path (la/b/c & 2a/b/c) crack growth was performed using depth location (radial) and surface location (axial) SIP.
A summary of the final radial and axial flaw depths is given in Table 5-5 and Table 5-6, respectively, for paths la, 1b, le, 2a, 2b, and 2c. Contribution of the individual transients to radial and axial crack growth is given in Table 5-7 and Table 5-8, respectively for paths la, lb, 2a, and 2b and in Table 5-9 and Table 5-10 for paths le and 2c.
Table 5 Radial Crack Growth for Axial Flaw Path Path la I Path lb I Path le I Path 2a I Path 2b I Path 2e I Initial Flaw Depth (in)= 0.1000 I 0.1000 I 0.1000 I 0.1000 I 0.1000 I 0.1000 l Initial alt ratio =
Final Flaw Depth (in)=
Final alt ratio =
Total amount of Fatigue Crack Growth (in)=
Table 5 Axial Crack Growth for Axial Flaw Path Path la I Path lb I Path le I Path 2a I Path 2b I Path 2e I Initial Flaw Depth (in) = 0.1000 I 0.1000 I 0.1000 I 0.1000 I 0.1000 I 0.1000 I Initial alt ratio =
Final Flaw Depth (in)=
Final alt ratio=
Total amount of Fatigue Crack Growth (in)=
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Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Individual Transient Contribution to Radial Crack Growth for Axial Flaw (Paths 1a/b and 2a/b)
Path Path la Path lb Path 2a Path 2b Transient Growth Growth Growth Growth I I I I (in) Percent (in) Percent (in)
- Percent (in) Percent Page 26
Controlled Docurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Individual Transient Contribution to Axial Crack Growth for Axial Flaw (Paths 1a/b and 2a/b)
Path Path la Path lb Path 2a Path 2b Transient Growth I Percent Growth I Percent Growth I Percent Growth I Percent (in) (in) (in) (in)
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Individual Transient Contribution to Radial Crack Growth for Axial Flaw (Paths 1c and 2c)
Path Path le Path 2c Growth Growth Transient \ Percent \ Percent (in) (in)
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Controlled Oocurnent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Individual Transient Contribution to Axial Crack Growth for Axial Flaw (Paths 1c and 2c)
Path Path le Path 2c Growth Growth Transient \ Percent \ Percent (in) (in) 5.2.2 Flaw Evaluation for OD Axial Flaw (Paths 1a/b/c & 2a/b/c)
As mentioned in Section 2.5, Article C-5000 of References [8.1] and [8.13] contains the appropriate flaw evaluation procedure for the end of lifo OD axial flaw. As shown in Table 5-5 and Table 5-6 the maximum flaw depth is [ ] for a flaw along path 2a considering an axial crack growth of [ ] This flaw depth was used for the end of life flaw evaluation of the postulated OD axial flaw. Table 5-11 shows details of the end of life flaw evaluation of the postulated OD axial flaw. It is shown in Table 5-11, that both the final flaw depth and length, after 40 years of crack growth, are less than the allowable flaw depth and length.
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 End of Life Evaluation for External Axial Flaw (Limit Load)
Yield Strength, Ciy = [ ] ksi Ultimate Strength, uu11 = [ ] ksi Flow strength, Cir= [ ] ksi Pressure, p = [ l psi Outside Radius, Ro = [ l Ill Inside Radius, Ri = [ ] Ill Mean Radius, Rm= [ ] Ill Thickness, t = [ l Ill Final Flaw Depth, ar = [ ] in Final Flaw Length, lr = 2 x ar = [ ] Ill Cih = pRmlt = [ ] ksi la11ow = l.58(Rmt) 0*5 [(Cif/Cih)2-0 1] .5 = [ l in2 M2 = [1 + (1.61 I 4Rmt)l/)] 05 [ ]
Safety Factor, SFm = 2.7 Stress Ratio= SFm Cih!Cir= [ ]
Nondimensional Flaw Length, lr/.YRmt = [ ]
Table C-5410-1, References [8.1]
Allowable alt
[ l and [8.13]
Allowable Flaw Depth, aa11ow = [ l Margin, aa11ow I ar = [ ]
5.3 Cylindrical Flaw for Paths 3a/b/c & 4a/b/c 5.3.1 Cylindrical Flaw Growth Analysis (Paths 3a/b/c & 4a/b/c)
For the cylindrical flaws, crack growth was calculated in accordance with Section 2.4. Crack growth for first year is shown in Table 5-12 through Table 5-23 for paths 3a, 3b, 3c, 4a, 4b, and 4c, respectively. Final crack depths for the cylindrical flaws for all paths are shown in Table 5-24 and Table 5-25.
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3a (Bottom Corner)
Km ax Kmin AK AN Aa =AN C 0 (AK)n Transient (ksi°'1in) (ksi°'1in) (ksi°'1in) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3b (Bottom Comer)
Kmax Krnin AK AN ~a =AN Co(AKt Transient (ksivin) (ksi'1in) (ksi'1in) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3c (Bottom Corner)
Km ax Kmin AK aN da = dN C 0 (AK) 0 Transient (ksi"in) (ksi"in) (ksi"in) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4a (Bottom Corner)
Kmin AK AN .1.a = AN Co(AK)"
Transient (ksi-Vin) (ksi-Vin) (ksi-Vin) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4b (Bottom Corner)
Kmax Kmin Af{ AN Aa =AN Co(AK)"
Transient (ksi"in) (ksi"in) (ksi"in) (cycle/year) (in)
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Controlled Docun1ent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4c (Bottom Corner)
Aa = AN C 0 (AK) 0 Kmax Kmin AK AN Transient (ksi../in) (ksi../in) (ksi"1in) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3a (Top Corner)
Km ax Kmin ~ .1.a = ~ Co(.1.K)° Transient (ksi../in) (ksi../in) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3b (Top Comer)
Km ax Kmin AK ~ Aa =AN Co(AK)"
Transient (ksi'1in) (ksi'1in) (ksi'1in) (cycle/year) (in)
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Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 3c (Top Corner)
Km ax Kmin AK AN .6.a = AN C 0 (AK) 0 Transient (ksi"1in) (ksi"1in) (ksi"1in) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4a (Top Corner)
Kmin AN da =AN C 0 (AK) 0 Transient (ksi""in) (cycle/year) (in)
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Controlled Docurnent A.
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4b (Top Corner)
Kmax Kmin AK AN Aa =AN Co(AK)"
Transient (ksivin) (ks ivin) (ksivin) (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 First Year Crack Growth for Cylindrical Flaw along Path 4c {Top Corner)
Kmin AK AN Aa =AN C 0 (AK) 0 Transient ksi"J'in ksi"J'in (cycle/year) (in)
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 Final Crack Depth for Cylindrical Flaw (Bottom Corner)
Path Crack Depth (in)
Path 3a [ ]
Path 3b [ l Path 3c [ ]
Path 4a [ l Path 4b [ ]
Path 4c [ ]
Table 5 Final Crack Depth for Cylindrical Flaw (Top Corner)
Path Crack Depth (in)
Path 3a [ l Path 3b [ ]
Path 3c [ ]
Path 4a [ ]
Path4b [ ]
Path 4c [ ]
5.3.2 Fracture Toughness Margin for Cylindrical Flaw (Paths 3a/b/c & 4a/b/c)
As mentioned in Section 2.5, for the postulated cylindrical flaw in the low alloy steel RV closure head material, IWB-3612 acceptance criteria of Section XI, Reference [8.1] is used. According to IWB-3612, a flaw is acceptable if the applied stress intensity factor for the flaw dimension ar satisfy the criteria that K1 <Kin /,/10 for normal/upset conditions and K1 < K1c /,/2 for emergency/faulted/test conditions.
To detennine the fracture toughness margin, the maximum applied stress intensity factor for all time points is determined for each flaw path. The effective stress intensity factor is then determined based on the theory in Reference [8.1]. The temperature (T) is the minimum (limiting) temperature of each transient. The minimum temperatures of most limiting transients are shown along with corresponding K1a's are shown in Table 5-26. In Table 5-26, it is shown that the calculated minimmn LEFM margins are [ ] for service level A and B and
[ ] for Emergency/Faulted/Test Conditions, and are thus higher than the required margin of ,/10 (Level A &
B) and ,/2 (Level C & D), respectively.
For the postulated cylindrical flaws in the [ ] weld repair material, IWB-3612 acceptance criteria is not evaluated since a limit load solution is not available for such a flaw in the ASME B&PV Code, References
[8.1] and [8.13]. The shear stress at the remaining ligament for the maximmn crack growth for this flaw type at the end of the plant life is evaluated below per NB-3227.2, Reference [8.10].
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 5 lEFM Margin for Cylindrical Flaw Limiting ar K1err Temp. Margin Path & Location (oF)
Transients (in) (ksi"in) K1a I K1err Path 4a (Head Bottom)
Path 4b (Head Bottom)
Levels Path 4c (Head Bottom)
> 3.16 A/B Path 4a (Head Top)
Path 4b (Head Top)
Path 4c (Head Top)
- K1c Margin -
Path 4a (Head Bottom)
Path 4b (Head Bottom)
(ksi in) Kie I K1err Levels Path 4c (Head Bottom)
CID/ - > 1.41 Test Path 4a (Head Top)
Path 4b (Head Top)
Notes Path 4c (Head Top)
(1): Kieff<
0 and therefore there is no crack growth for service level.
The shear stress at the remaining ligament is also calculated as follows:
l' = (P axial_H + P a.xial_Intemal)/(As)
Where:
2 P axial_H = (n/4) X PX D 0 = (n/4) [ ] Reference [8.3]
P a.xial_Intemal = [ ] Table 4-3 As = 2 X 1T X [Lfinal X D 0 /2 ]
Where LfinaI is the remaining ligament of the IDTB weld/head interface after crack growth at paths 3a, 3b, 3c, 4a, 4b, and 4c. The maximum crack growth among cracks along paths 3a, 3b, 3c, 4a, 4b, and 4c is for path 4b at the bottom corner and the final flaw size is [ ] (Table 5-24). Thus the area of the remaining ligament is found as As=[ ]
Thus the shear stress, l' = (P a.xial_H + P a.xial_IntemaI)/(As) = [ ]
Per NB-3227.2, Reference [8.10], the maximum allowable average primary shear stress in IDTB weld is 0.6Sm, which equals 13.98 ksi (with Sm equal to 23.3 ksi, Reference [8.3]). Therefore the remaining ligament of the IDTB weld has a lower shear stress than allowable shear stress.
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Controlled Docun1ent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 6.0 RESULTS The flaw evaluation results for 40 years of fatigue crack growth are as follows.
6.1 Fatigue Crack Growth of Continuous External Circumferential Flaw a) Fatigue crack growth mmlysis:
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
b) End of Life (Limit load) analysis:
Margin, [ ]
6.2 Fatigue Crack Growth of Semi-Circular External Axial Flaw a) Fatigue crack growth analysis:
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
b) End of Life (Limit load) analysis:
Margin, [ ]
6.3 Fatigue Crack Growth of Continuous Cylindrical Flaw along Paths 3a & 4a RVCH (Path 4a Bottom Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Level A and B Stress intensity factor at final flaw size, Krerr= [ ]
Level A and B Fracture toughness, Kra= [ ]
Level A and B Fracture toughness margin, Kra IK.rerr= [ ] >"110 Level C, D, and Test Stress intensity factor at final flaw size, Krerr= [ ]
Level C, D, and Test Fracture toughness, Krc= [ ]
Level C, D, and Test Fracture toughness margin, Krc /Krerr= [ ] >"12 RVCH (Path 4a Top Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, af= [ ]
Level A and B Stress intensity factor at final flaw size, Krerr= [ ]
Level A and B Fracture toughness, Kra= [ ]
Level A and B Fracture toughness margin, Kra IK.rerr= [ ] >"110 Level C, D, and Test Stress intensity factor at final flaw size, Kreff= [ ]
Level C, D, and Test Fracture toughness, Krc= [ ]
Level C, D, and Test Fracture toughness margin, Kie /Kieff= [ ] >"12 Page 45
Controlled Docuroent A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Nozzle/IDTB Weld (Path 3a Bottom Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Max. Shear Stress, T = [ ] < 0.6Sm = 13.98 ksi Nozzle/IDTB Weld (Path 3a Top Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Max. Shear Stress, T = [ ] < 0.6Sm = 13.98 ksi 6.4 Fatigue Crack Growth of Continuous Cylindrical Flaw along Paths 3b & 4b*
RVCH (Path 4b Bottom Tip)
Initial flaw size, a;= 0.1000 in.
Final flaw size, ar= [ ]
Level A and B Stress intensity factor at final flaw size, Kieff= [ ]
Level A and B Fracture toughness, K1a = [ ]
Level A and B Fracture toughness margin, K1a !Kieff= [ ] > ...)10 Level C, D, and Test Stress intensity factor at final flaw size, Kieff= [ ]
Level C, D, and Test Fracture toughness, Kie= [ ]
Level C, D, and Test Fracture toughness margin, Kie /Kieff= [ ] >...J2 RVCH (Path 4b Top Tip)
Initial flaw size, ai""' 0.1000 in.
Final flaw size, ar= [ ]
Level A and B Stress intensity factor at final flaw size, Kieff= [ ]
Level A and B Fracture toughness, Kia= [ ]
Level A and B Fracture toughness margin, K1a !Kieff= [ ]
Level C, D, and Test Stress intensity factor at final flaw size, Kieff= [ ]
Level C, D, and Test Fracture toughness, Kie= [ ]
Level C, D, and Test Fracture toughness margin, Kie /Kieff= [ ]
Nozzle/IDTB Weld (Path 3b Bottom Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Max. Shear Stress, T = [ ] ksi < 0.6Sm = 13.98 ksi Nozzle/IDTB Weld (Path 3b Top Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Max. Shear Stress, T = [ ]< 0.6Sm = 13.98 ksi Page 46
Controlled Document A
AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 6.5 Fatigue Crack Growth of Continuous Cylindrical Flaw along Paths 3c & 4c RVCH (Path 4c Bottom Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Level A and B Stress intensity factor at final flaw size, K1err= [ ]
Level A and B Fracture toughness, K1a = [ ]
Level A and B Fracture toughness margin, K1a IK1err= [ ] > v'IO Level C, D, and Test Stress intensity factor at final flaw size, Kierr= [ ]
Level C, D, and Test Fracture toughness, Kie= [ ]
Level C, D, and Test Fracture toughness margin, Kie I K1err = [ ] > .Y2 RVCH (Path 4c Top Tip)
Initial flaw size, ai = 0 .1000 in.
Final flaw size, ar= [ ]
Level A and B Stress intensity factor at final flaw size, K1err= [ ]
Level A and B Fracture toughness, K1a = [ ]
Level A and B Fracture toughness margin, Kia IK1err= [ ] > v'IO Level C, D_, and Test Stress intensity factor at final flaw size, K1err= [ ]
Level C, D, and Test Fracture toughness, Kie= [ 200.0 ]
Level C, D, and Test Fracture toughness margin, Kie I K1err = [ ] > v'2 Nozzle/IDTB Weld (Path 3c Bottom Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Max. Shear Stress, T = [ ] ksi < 0.6Sm = 13.98 ksi Nozzle/IDTB Weld (Path 3c Top Tip)
Initial flaw size, ai = 0.1000 in.
Final flaw size, ar= [ ]
Max. Shear Stress, T = [ ] ksi < 0.6Sm = 13.98 ksi The results of the analysis demonstrate that a 0.10 inch weld anomaly is acceptable for a 40 year design life of the Byron/Braidwood RVCH CRDM/RVLIS/CETC Nozzle IDTB weld repair. The minimum fracture toughness margins for flaw propagation Paths 3a, 3b, 3c, 4a, 4b, and 4c have been shown to be acceptable as compared to the required margins of v'IO for normal/upset conditions and v'2 for emergency/faulted/test conditions per Section XI, IWB-3612 (References [8.1] and [8.13]). A limit load analysis was performed considering the ductile weld repair material along flaw propagation Paths la/b/c and 2a/b/c. The analysis showed that for the postulated circumferential flaw the minimum margin on allowable stress is [ ] For the axial flaw the minimum margin on allowable flaw depth is [ ] Fracture toughness margins have been demonstrated for the postulated cylindrical flaws at the RVCH. Also for cylindrical flaws at the RVCH and the IDTB weld it is shown that the applied shear stress at the remaining ligament is less than the allowable shear stress per NB-3227.2, Reference [8.10].
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary 7.0 COMPUTER USAGE 7.1 Validation To validate the installation of AREVACGC 5.0, Reference [8.5], Test Case 1 provided in Reference [8.5]
(contained in TestCasel.xls) was executed. The installation of the software on a PC workstation is documented below and verification tests of similar applications are listed as follows.
Computer programs tested: AREVACGC 5.0 Computer hardware used: The hardware platform is Intel (R) Core(TM) i7-3520M CPU at 2.90 GHz, 8GB RAM and the Operating System is Microsoft Windows 7, version 2009, Service Pack 1, Serial Number CRPMYWl.
Name of person running the tests: LuzianaReno Date of tests: 08/29/2016 (before all runs) and 08/30/2016 (after all runs).
Acceptability: Results agree with those documented for the corresponding test case in Reference [8.5].
7.2 Computer Files Microsoft Office Excel, along with the Excel macro program AREVACGC version 5.0, is used in the crack growth and SIF calculation. All computer analyses were run on Microsoft Windows 7, version 2009, Service Pack
- 1. The hardware is Intel (R) Core(TM) i7-3520M CPU at 2.90 GHz, 8GB RAM.
Computer files for all analysis contained in this document are listed in Table 7-1. These files have been stored in COLDSTOR server within the directory "\cold\General-Access\32\32-9000000\32-9237284-002\official."
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Table 7 Computer Files for Crack Growth Evaluation File Name Data and Time Size (bytes) Checksum Description Axial flaw evaluation with BB12_Axial_SY(Hoop)_R002.xl Aug 29 2016 1414558 30506 AREVACGC for paths la/b and sm 09:38:31
?a/b BB12_Axial_SY(Hoop)_90Deg_ Aug 29 2016 Axial flaw evaluation with 850857 55555 R002.xlsm 09:34:34 AREVACGC for paths le and 2c Circumferential flaw evaluation BB12_Circ_SZ(axial)_R002.xls Aug 29 2016 1012178 26805 with AREVACGC for paths la/b m 08:45:48 and 2a/b Circumferential flaw evaluation BB 12_ Circ_ SZ(axial) _90Deg_R Aug 29 2016 578159 19672 with AREVACGC for paths le and 002.xlsm 08:40:19 2c Aug 29 2016 Cylindrical Flaw Evaluation Path BB 12_Edge_P3a_bot_R002.xls 2076672 50638 14:56:36 3a at Bottom Crack Tip Aug 30 2016 Cylindrical Flaw Evaluation Path BB12_Edge_p3a_top_R002.xls 2576896 31336 13:06:38 3a at Top Crack Tip Aug 29 2016 Cylindrical Flaw Evaluation Path BB 12_Edge_p3b_bot_R002.xls 2015744 33887 15:23:28 3b at Bottom Crack Tip Aug 30 2016 Cylindrical Flaw Evaluation Path BB12_Edge_p3b_top_R002.xls 2513920 59677 09:18:40 3b at Top Crack Tip Aug 29 2016 Cylindrical Flaw Evaluation Path BB12_Edge_p3c_bot_R002.xls 1601024 32608 16:25:07 3c at Bottom Crack Tip Aug 30 2016 Cylindrical Flaw Evaluation Path BB12_Edge_p3c_top_R002.xls 1709056 35166 10:49:56 3c at Top Crack Tip Aug 29 2016 Cylindrical Flaw Evaluation Path BB12_Edge_P4a_bot_R002.xls 2177536 13754 16:08:44 4a at Bottom Crack Tip Aug 30 2016 Cylindrical Flaw Evaluation Path BB12_Edge_P4a_top_R002.xls 2555904 05333 09:33:48 4a at Top Crack Tip Aug 29 2016 Cylindrical Flaw Evaluation Path BB12_Edge_P4b_bot_R002.xls 2180608 45429 16:07:10 4b at Bottom Crack Tip Aug 30 2016 Cylindrical Flaw Evaluation Path BB12_Edge_P4b_top_R002.xls 2636800 41051 10:40:17 4b at Top Crack Tip Aug 29 2016 Cylindrical Flaw Evaluation Path BB 12_Edge_P4c_bot_R002 .xls 1618432 12934 17:12:33 4c at Bottom Crack Tip Aug 30 2016 Cylindrical Flaw Evaluation Path BB12_Edge_P4c_top_R002.xls 1690624 34694 12:44:58 4c at Top Crack Tip Aug 29 2016 Verification ofKleff_edge Kl_edge_Verification_R002.xls 413184 25979 10:38:42 function Aug 29 2016 Test case for verifying that TestCasel 29-2016.xls 629248 11159 07:42:57 AREVCGC 5.0 executes orooerlv Test case for verifying that Aug 30 2016 TestCasel 30-2016.xls 629760 59678 AREVCGC 5.0 executes properly 13:26:02 after all runs were comoleted Page 49
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary
8.0 REFERENCES
8.1 ASME Boiler and Pressure Vessel Code,Section XI, "Rules for Inservice Inspection of Nuclear Power Plant Components", 2001 Edition with 2003 Addenda.
8.2 AREVA Document 08-9232121-001, Specification, "Byron Units 1 and 2, and Braidwood Units 1 and 2, RVCH Nozzle and Penetration Modification" 8.3 AREVA Document 32-9233803-001, "ASME Section III Analysis of Byron/Braidwood RVCH Nozzle and Penetration Modification" 8.4 AREVA Document 38-2201373-001, "Byron Units 1and2 and Braidwood Units 1 and 2 Proprietary Information" 8.5 AREVA Document 32-9055891-006, "Fatigue and PWSCC Crack Growth Evaluation Tool AREVACGC" (Proprietary Document) 8.6 NUREG/CR-6907, "Crack Growth Rates of Nickel Alloy Welds in a PWR Environment", U.S.
Nuclear Regulatory Commission (Argonne National Laboratory), May 2006 8.7 AREVA Drawing 02-9232824E-001, "Byron Units 1 and 2/Braidwood Units 1and2 Thermocouple Column Penetration Modification" 8.8 AREVA Drawing 02-9232827D-OOO, "Byron Units 1 and 2/Braidwood Units 1 and 2 Replacement Thermocouple Housing Extension" 8.9 AREVA Document 32-9233779-000, "Weld Residual Stress Analysis of Byron 1 & 2, and Braidwood 1 & 2 RVCH Nozzle/Penetration Repair" 8.10 ASME Boiler and Pressure Vessel Code,Section III, "Nuclear Facility Components, Division 1, 2001 Edition with 2003 Addenda.
8.11 AREVA Document 51-9234885-000, "Exelon Byron and Braidwood RVCH Original Material and Fabrication Review" 8.12 AREVA Drawing 02-9232823E-001, "Byron Units 1 and 2/Braidwood Units 1 and 2 CRDM, Spare,
& RVLIS Penetration Modification" 8.13 ASME Boiler and Pressure Vessel Code,Section XI, "Rules for Inservice Inspection of Nuclear Power Plant Components", 2007 Edition with 2008 Addenda.
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary APPENDIX A: VERIFICATION OF SIF FOR CYLINDRICAL FLAW This Appendix provides verification of the Excel macro Kieff_edge used to calculate the SIF intensity factor for the cylindrical flaw which considers plasticity correction. The test case considered in this Appendix used a,,= 0.05 inch, t = 0.5 inch, all= 0, and cry= 41.45 ksi.
Basis: Analysis of Flaws, ASME Code,Section XI, Appendix A, References [8.1] and [8.13].
where Q = 1 + 4.593 (all)i. 65 - qy 2
and qy = [(Ao Go+ A1 G1 + Az Gz + A3 G3) I crv ] I 6 For all= 0.0 (continuous flaw) alt:::; 0.1 Go= 1.195 G1 =0.773 Gz = 0.600 G3 = 0.501 Stresses are described by a third order polynomial fit over the flaw depth, For the following given residual and transient stresses:
Wall Position, x Residual Stress Transient Stress Total Stresses (in) (ksi) (ksi) (ksi) 0.000 12.73 0.132 12.859 0.042 14.70 0.131 14.826 0.083 16.66 0.129 16.792 0.125 16.48 0.127 16.603 0.167 16.29 0.123 16.412 0.208 16.13 0.118 16.248 0.250 15.97 0.116 16.082 0.283 17.28 0.104 17.382 0.333 18.59 0.092 18.678 0.375 17.08 0.078 17.157 0.417 15.57 0.043 15.615 0.458 28.48 -0.029 28.453 0.500 41.39 -0.2940 41.100 Page A-1
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AREVA Document No. 32-9244389-001 Byron/Braidwood RVCH Nozzle IDTB Repair Weld Anomaly - Non Proprietary Stress over crack face:
Interpolated x/a x Stress (ksi) 0.00 0.000 12.859 A3= 0.048207 0.10 0.005 13.093 A1= -0.05433 0.20 0.010 13.327 A1= 2.356546 0.30 0.015 13.562 Ao= 12.85844 0.40 0.020 13.796 0.50 0.025 14.030 0.60 0.030 14.264 0.70 0.035 14.498 0.80 0.040 14.732 0.90 0.045 14.970 1.00 0.050 15.210 Qy = [(AoGo + A1G1 + AzG2 + A3G3)/cry ]2 / 6 = 0.029 Q = 1 + 4.593 (a/1)1. 65 - Ch*= 0.971 Plasticity K1 = [AoGo + A1G1 + A2G2 + A3G3] >f(na/Q) = 6.906 Correction Kieff_edge = 6.906 Difference= 0.0%
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