ML14070A342
| ML14070A342 | |
| Person / Time | |
|---|---|
| Site: | Palisades  |
| Issue date: | 03/06/2014 |
| From: | Dedhia D Structural Integrity Associates |
| To: | Office of Nuclear Reactor Regulation |
| References | |
| PNP 2014-028 1200895.307, Rev. 0 | |
| Download: ML14070A342 (14) | |
Text
ENCLOSURE 2 Structural Integrity Associates, Inc. Calculation 1200895.307 Hot Leg Drain Nozzle Crack Growth Analyses Revision 0 13 Pages Follow
ATTACHMENT 9.1 VENDOR DOCUMENT REVIEW STATUS Sheet I of I ..
is tes ENTERGY NUCLEAR MANAGEMENT MANUAL
'c'=-EntrgyEN-DC-149 VENDOR DOCUMENT REVIEW STATUS FOR ACCEPTANCE El FOR INFORMATION
[]IPEC 0] GAP (0 PLI5 0 PNPS El VY Ll ANO 0] GGNS [] RIBS El W3 El'NP Document No.: 1200895.307 1Rev. No.0 Document
Title:
Hot Leg Drain Nozzle Crack Growth Analyses .. .
EC No.:49590 Purchase Order No.N/A (N/Afor NP)
STATUS NO:
- 1. [0 ACCEPTED, WORK MAY PROCEED
- 2. El ACCEPTED AS NOTED RESUBMITTAL NOT REQUIRED, WORK MAY PROCEED
- 3. El ACCEPTED AS NOTED RESUBMITTAL REQUIRED
- 4. El NOT ACCEPTED Acceptance does not constitute approval of design details, calculations, analyses, test methods, or materials developed or selected by the supplier and does not relieve the supplier from full compliance with contractual negotiations.
Responsible Engineer Brian Smith /-"e - 3Z61--*
Da" e Print Name "I Engineering Supervisor Dave MacMaster Print Name
/
Signature
" /LiZDate EN-DC-149 REV 8
V StructuralIntegrity Associates, Inc! File No.:No.:
Project 1200895.307 1400148 CALCULATION PACKAGE Quality Program: M Nuclear El Commercial PROJECT NAME:
Evaluation of Hot Leg Drain Nozzle CONTRACT NO.:
10404220 CLIENT: PLANT:
Entergy Nuclear Palisades Nuclear Plant CALCULATION TITLE:
Hot Leg Drain Nozzle Crack Growth Analyses Document Affected Project Manager Preparer(s) &
Revision Pages Revision Description Approval Checker(s)
Signature & Date Signatures & Date 01 - 12 Initial Issue Richard Bax Dilip Dedhia 03/06/14 03/06/14 Charles Fourcade 03/06/14 Page 1 of 12 F0306-01 R I
b Orw, bf**l Associates, inc.'
Table of Contents 1.0 O B JE C T IV E .......................................................................................................... .. 3 2.0 MET H O D O LO G Y .................................................................................................. 3 2.1 C rack G row th R ate ...................................................................................... 3 2.2 C ircum ferential Cracks ................................................................................ 3 2 .3 A xial C racks .............................................................................................. .. 4 3.0 C O N C L U SIO N S ....................................................................................................... 5 List of Tables T able 1: L ist of F iles .......................................................................................................... ..7 Table 2: Crack Depths at 60 and 100 years for the Circumferential Cracks ...................... 7 List of Figures Figure 1: FEA Calculated Stress Intensity Factors for Circumferential Cracks .................. 8 Figure 2: Crack Depth vs. Time for the Growth of Circumferential Cracks ....................... 8 Figure 3: Finite Element Model for Residual Stress Analysis ........................................... 9 Figure 4: Plane on which the Axial Cracks are Located ................................................... 10 Figure 5: SmartCrack Axial Crack Modeling ......................................................................... 11 Figure 6: SmartCrack Stress Intensity Factors for Axial Cracks ........................................ 12 Figure 7: Crack Depth vs. Time for the Growth of Axial Cracks .................................... 12 File No.: 1200895.307 Page 2 of 12 Revision: 0 F0306-01R1
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1.0 OBJECTIVE The objective of this calculation is to determine crack growth for a series of postulated cracks in the hot leg to drain nozzle boss weld in support of a Primary Water Stress Corrosion Cracking (PWSCC) susceptibility study at the Palisades Nuclear Plant (PNPP). The PWSCC crack growth analyses are performed using extracted stresses and stress intensity factors for both circumferential and axial cracks.
All the files used in this calculation are listed in Table 1.
2.0 METHODOLOGY PWSCC crack growth analyses are performed for circumferential and axial cracks in the hot leg to drain nozzle boss weld.
2.1 Crack Growth Rate The default PWSCC crack growth rate in pc-CRACK [1] will be employed. This relation is based on expressions in Reference 2 and the resulting equation for the crack growth rate is as follows:
da= C exp it ýf +4 6 0 re460 j j)](1)
For times in hours, temperatures in 'F, crack length in inches and K in ksi4in, the following values of the constants are used:
Tref= 617°F 7 C= 2.47x 10-03= 1.6 Q= 28181.8OR K,h = 0 2.2 Circumferential Cracks Stress intensity factors (K) for a series of 360' inside surface connected, part through wall (0.13", 0.57",
1.21, 1.85", 2.49", 3.13", and 3.95") circumferential cracks, listed in Palisades.xlsx,were calculated using finite element analysis (FEA) in Reference 3. These K values, as a function of crack depth, were extracted at 0, 30, 60 and 90 degree locations around the nozzle and are shown in Figure 1. These K values were input into pc-CRACK to perform PWSCC crack growth analyses. The following are the additional parameters needed for the crack growth calculations:
Initial crack depth = 0.1" Temperature = 593°F (operating temperature per Reference 4)
Wall thickness = 4.08" (the height of the weld, per Reference 3)
File No.: 1200895.307 Page 3 of 12 Revision: 0 F0306-01 RI
V s itwo nl ltelgrtyAssoci , Ic.0 The resulting crack depths, as a function of time, as calculated by pc-CRACK are shown in Figure 2.
The input and the output files are tabulated in Table 1.
The crack depths for 60 and 100 years of crack growth are listed in Table 2 at a series of angular locations.
2.3 Axial Cracks The hoop stresses (relative to the drain nozzle) at the weld and nozzle region are extracted from the stresses computed by FEA [3]. The rectangular region under consideration for the location of axial cracks (axial in this case indicating a nozzle radial crack aligned in the axial direction of the hot leg) is shown in Figure 4. The crack model of interest is a semi-elliptical crack with a fixed surface length and the depth varying from 0.1 to 3.5 inches. Since there is no stress intensity factor influence function solution available in pc-CRACK for semi-elliptical surface cracks for the range of crack shapes with bivariate stresses, the influence function solution for an elliptical crack available in SmartCrack[5] was used. Half of the elliptical crack was placed in the region as shown in Figure 5. The stresses on the other half of the ellipse, needed for computing stress intensity factors, were defined by reflecting the stresses across the ID of the hot leg, as shown in Figure 5. The cracked body can be sliced at this plane, with a semi-elliptical surface crack then being present. The crack face pressure of 2.122 ksi (operating pressure from Reference 4) was added to the FEA calculated stresses.
A new coordinate system is defined for inputting stresses into SmartCrack. The new X-coordinate is along the hot leg ID, except that the origin is at the center of the crack. The new Y-coordinate is along the weld depth with the origin at the center of the crack. The stresses in the new coordinate system are developed in HoopO_2.xism.
SmartCrackrequires stresses along the X-direction to be defined for each depth (y). The stresses from Hoop_0_2.xlsm are reformatted and three SmartCrack input files are created corresponding to the total surface length of 0.5", 1" and 2", respectively. These files also contain the definition of the crack model.
These files were then run with SmartCrackand the output is listed in HO0-2-1. OUT, HOO-2-2. OUT and HOO-2-3.OUT, corresponding to the total surface length of 0.5", 1" and 2", respectively. The output files contain the echo of the input stresses and the stress intensity factors at the four tips of the elliptical crack for a range of crack sizes. The crack tip of interest is a3 in the SmartCrackoutput. The K values (see Figure 6) corresponding to the crack tip a3 were extracted for use in PWSCC crack growth evaluations using pc-CRACK. The following are the additional parameters needed for the crack growth calculations:
Initial crack depth = 0.1" Temperature = 593 0 F (operating temperature per Reference 4)
Wall thickness = 4.0" (the height of the weld, per Reference 3)
A review of Figure 7 indicates that the time to grow the crack from 0. " to 3" (75% through wall) is 41 years for the case of 1" total surface length and 34 years for 2" total surface length. For the case of the 0.5" total surface length, the crack has not yet reached 3" after approximately 100 years.
File No.: 1200895.307 Page 4 of 12 Revision: 0 F0306-OIRI
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3.0 CONCLUSION
S Stress intensity factors, K, for various 3600 part through-wall circumferential flaws in the hot leg drain nozzle-to-hot leg weld, resulting from weld residual stresses, were evaluated to determine circumferential flaw growth due to PWSCC. The results of these evaluations are tabulated in Table 2 and shown in Figure 2.
In addition, hoop stresses in the hot leg drain nozzle-to-hot leg weld and adjacent nozzle, resulting from weld residual stresses, were also evaluated to determine the axial flaw growth due to PWSCC. The results of these evaluations are shown in Figure 7.
File No.: 1200895.307 Page 5 of 12 Revision: 0 F0306-01 RI
jhittrtIy Ass*cafs, ka references
- 1. pc-CRACK 4.1, Version 4.1 CS, Structural Integrity Associates, December 2013.
- 2. SI Calculation No. 0801136.315, Rev. 0, "Hot Leg Drain Crack Growth Projections."
- 3. SI Calculation No. 1200895.306, Rev. 0, "Hot Leg Drain Nozzle Weld Residual Stress Analysis and Circumferential Crack Stress Intensity Factor Determination."
- 4. Palisades Document No. EC-LATER, Revision 0, "Design Input Record," SI File No.
0801136.202.
- 5. SI Calculation No. 0801136.313, Rev. 0, "Hot Leg Nozzles Methodology for Development of Stress Intensity Factor."
File No.: 1200895.307 Page 6 of 12 Revision: 0 F0306-O1RI
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Table 1: List of Files File Description Palisades.xlsx FEA-calculated K for circumferential cracks based on K's from Reference 3.
CircCrackDeg O0.pcf pc-CRACK PWSCC growth input file; K at 0 deg CircCrackDeg 30.pcf pc-CRACK PWSCC growth input file; K at 30 deg CircCrackDeg 60.pcf pc-CRACK PWSCC growth input file; K at 60 deg CircCrackDeg 90.pcf pc-CRACK PWSCC growth input file; K at 90 deg CircCrackDeg 00.rpt pc-CRACK PWSCC growth output file; K at 0 deg CircCrackDeg 30.rpt pc-CRACK PWSCC growth output file; K at 30 deg CircCrackDeg 60.rpt pc-CRACK PWSCC growth output file; K at 60 deg CircCrackDeg 90.rpt pc-CRACK PWSCC growth output file; K at 90 deg Hoop 0 2.xlsm FEA calculated stresses for axial cracks H00-2-1 .DAT SmartCrackK input file for crack surface length = 0.5" HOO-2-2.DAT SmartCrackK input file for crack surface length = 1" HOO-2-3.DAT SmartCrackK input file for crack surface length = 2" HOO-2-1.OUT SmartCrackK output file for crack surface length = 0.5" HOO-2-2.OUT SmartCrackK output file for crack surface length = 1" HOO-2-3.OUT SmartCrackK output file for crack surface length = 2" Hoop-i .pcf pc-CRACK PWSCC growth input file for crack surface length = 0.5" Hoop-2.pcf pc-CRACK PWSCC growth input file for crack surface length = 1" Hoop-3.pcf pc-CRACK PWSCC growth input file for crack surface length = 2" Hoop-1 .rpt pc-CRACK PWSCC growth output file for crack surface length = 0.5" Hoop-2.rpt pc-CRACK PWSCC growth output file for crack surface length = 1" Hoop-3.rpt pc-CRACK PWSCC growth output file for crack surface length = 2" Table 2: Crack Depths at 60 and 100 years for the Circumferential Cracks Crack Depth (inches)
Angular Location (degrees)(') 60 years 100 years 0 2.36 TW 30 2.09 TW 60 1.39 1.74 90 0.98 1.22 Note: Angular locations are based on the finite element model from Reference 3 and are shown in Figure 3.
File No.: 1200895.307 Page 7 of 12 Revision: 0 F0306-0I RI
VS&tW hgriV~~fy Amdt~L Circ. K, FE Deg 00 Deg 30 60 Deg 60 Deg9O r.
40
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20 0
2 4 Crack Depth (in)
Figure 1: FEA Calculated Stress Intensity Factors for Circumferential Cracks PWSCC Growth, FE K, Circ Cracks Deg 00 Deg 30 Deg 60 Deg 90 100 200 300 Time (yrs)
Figure 2: Crack Depth vs. Time for the Growth of Circumferential Cracks File No.: 1200895.307 Page 8 of 12 Revision: 0 F0306-OIRI
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'U Figure 3: Finite Element Model for Residual Stress Analysis Notes:
- 1. Figure is reproduced from Reference 3, Figure 1.
- 2. The 0' azimuth is at the axial cut plane of the hot leg.
- 3. The 900 azimuth is the circumferential cut plane of the hot leg.
File No.: 1200895.307 Page 9 of 12 Revision: 0 F0306-OIRI
~SV~f aud" gr**ASsadMu kn' On 2.06" Radius Figure 4: Plane on which the Axial Cracks are Located Note:
- 1. Figure is reproduced from Reference 3, Figure 20.
File No.: 1200895.307 Page 10 of 12 Revision: 0 F0306-OIRI
V obw"w hdtwg* AmsDaftekc Figure 5: SmartCrack Axial Crack Modeling File No.: 1200895.307 Page 11 of 12 Revision: 0 F0306-01RI
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1~.I-2\allk. pit E:ýANO 30 L = 0.5"
-L=2*
20 10 I*
I . I . I 0 I 2 3 4 Crack Depth (in)
Figure 6: SmartCrack Stress Intensity Factors for Axial Cracks E:ýANOVA~al2-\av pf
- L=0.5" L
L=1" L=2" U
C.
in Time (yrs)
Figure 7: Crack Depth vs. Time for the Growth of Axial Cracks File No.: 1200895.307 Page 12 of 12 Revision: 0 F0306-OIRI