ML051940344
| ML051940344 | |
| Person / Time | |
|---|---|
| Site: | Point Beach  |
| Issue date: | 06/03/2005 |
| From: | Gustin H, Riccardella P Structural Integrity Associates |
| To: | Office of Nuclear Reactor Regulation |
| References | |
| PBCH-09Q PBCH-09Q-302, Rev 3 | |
| Download: ML051940344 (28) | |
Text
ENCLOSURE 3 STRUCTURAL INTEGRITY ASSOCIATES CALCULATION PBCH-09Q-302 REVISION 3 DATED JUNE 3,2005 (27 pages follow)
FILE No.: PBCH-09Q-302 V- STRUCTURAL CALCULATION INTEGRITY PACKAGE PROJECT No.: PBCH-09Q Associates, Inc.
PROJECT NAME: Point Beach Unit I CRDM Top Head Analysis CLIENT: NMC Point Beach Nuclear Plant CALCULATION TITLE: PWSCC Crack Growth Correlations and Fatigue Crack Growth Calculations for Point Beach Unit 1 Project Mgr. Preparer(s) &
Document Affected .. s.p.nApproval Checker(s)
Revision Pages Revision Description Signature & Signatures &
Date Date 0 1-7 Original Issue H. L. GUSTIN H. L. GUSTIN Al - A19 2/17/04 G. L. STEVENS
-_ 2/17/04 1 1-7 Incorporates actual overlap H. L. GUSTI H. L. GUSTIN measurements for nozzle 26. 5/12/04 5/12/04 A1-A19 Appendix A is not affected.
MING QIN 5/12/04 2 1-8 Addresses hypothetical growth in Alloy H. L. GUSTIN H. L. GUSTIN 82 material, as a conservative 5/15/04 5/15/04 A1-A19 representation for Alloy 52 P.C.
RICCARDELLA 5/15/04 H. L. GUSTIN H. L. GUSTIN 6/03/05 6/03/05 Revised service temperature used in l '-ID -
3 1-8 crack growth calculations Y/. Wz Al-A19 P. C.
RICCARDELLA 6/03/05
.Page 1 of 8 F2001R1
1.0 STATEMENT OF PROBLEM Point Beach Unit 1 repaired RPV top head CRDM Nozzle 26 during the Spring 2004 refueling outage. Because of the steepness of this nozzle, and the relatively small head diameter and thickness, the standard Framatome repair process resulted in a portion of the new attachment weld overlapping the original Alloy 82/182 weld over a portion of the circumference (see Figure 1).
This calculation evaluates the growth of hypothetical flaws in the original alloy 82/182 weld through the weld repair fusion line with the low alloy steel base material. Earlier revisions of this calculation assumed a crack growth rate applicable to Alloy-600 base metal and Alloy 82 weld metal at 592 'F.
The calculation is revised herein to incorporate crack growth rates applicable to both materials at a revised temperature of 593.9 'F per [7]
Note that the repair weld through which the hypothetical crack is assumed to be propagating is Alloy 52, which has generally been shown to be highly resistant to PWSCC cracking and crack growth.
The only potential crack growth region is at the fusion line between the low alloy steel nozzle and the Alloy 52 weld metal, in which some dilution of the weld metal may occur. Both the Alloy-600 and Alloy 82 crack growth curves are believed to be conservative approximations of the expected crack growth rate in this dilution zone.
2.0 METHODOLOGY Stress intensity factors at the interface of the new, Alloy 52 repair weld and the original, Alloy 82/182 J-groove weld have been computed in Ref [5] assuming the entire original J-groove weld to be cracked. These K levels are based on operating plus residual stresses resulting from the original J-groove weld plus the new repair weld, at normal operating conditions. The resulting K levels are assumed to remain constant for the small amount of crack extension through the interface region, since the cracking will be confined to a narrow region of diluted material.
The resulting K levels are then inserted into a stress corrosion crack growth law (see section 3.0 below) to determine the rate of crack propagation versus time, and to predict the time necessary for the assumed initial crack to grow through the new repair weld diluted zone and thus cause potential leakage during the upcoming fuel cycle.
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3.0 MATERIAL CRACK GROWTH RATE The industry has established a panel of experts on stress corrosion cracking to review available data on PWSCC growth in components such as the CRDM penetration tubes and associated nickel-based weld metals. The panel is comprised of international experts, including representatives from NRC research and its contractors. This panel has established a recommended crack growth law for Alloy 600 base material [1], and more recently recommended crack growth curves for Alloy 82 and 182 weld metals [2]. The correlation of available crack growth data from
[2] is shown in Figure 2, normalized to a service temperature of 617 'F. The reported top head temperature for Point Beach Unit 1 is 593.9 0 F [7]. The crack growth rate is a strong function of temperature, and so to represent the Point Beach condition, it is necessary to adjust the Alloy 82 crack growth correlation for the lower temperature. References 1 and 2 also provide an activation energy equation for temperature adjustment of the crack growth curves.
For Alloy 600 weld material the PWSCC crack growth correlation reported in [1], adjusted to the Point Beach head temperature of 593.9 'F is daldt = 2.37 x, 7 (th '. .])l 6
where:
da/dt = crack growth rate at temperature T in in/hr K = crack tip stress intensity factor (ksi/in)
Kt, = crack tip stress intensity factor threshold
= 8.19 (ks Win)
For Alloy 82 weld material the PWSCC crack growth correlation reported in [2], adjusted to the Point Beach head temperature of 593.9 'F is da/dt = 5.36 x 1048 (KKth)1 .6 where:
da/dt = crack growth rate at temperature T in in/hr K = crack tip stress intensity factor (ksi4in)
Kth, = crack tip stress intensity factor threshold
= 0 (ksiin)
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This correlation is applicable to evaluating the growth of ID connected flaws in Alloy 82 GTAW weld material. Since the diluted zone being evaluated in this calculation is Alloy 52, also a GTAW welding process, the Alloy 82 curve is conservatively applied.
As noted above, the repair material is Alloy 52. Since chromium content has been shown to be a key contributor to nickel-based alloy PWSCC resistance, this material (Alloy 52, with a chromium content of 28-3 1%) will have significantly higher PWSCC resistance than will Alloy 600 (chromium content 14-17%) or its associated weld materials Alloy 182 (chromium content 13-17%) or Alloy 82 (chromium content 18-22 %). The lower chromium content of the Alloy 82 material is deemed sufficient to account for the potential effects of dilution of the Alloy 52 material in the interface region with the low alloy steel head.
4.0 CRACK GROWTH CALCULATIONS The objective of the calculation is to determine the time that would be required for a crack at the interface of the Alloy 52 repair material, the low alloy steel head material, and the underlying J-groove material to propagate parallel to the repair weld by a PWSCC mechanism through a distance defined by the repair weld ligament. If the time for such propagation is greater than the remaining service life of the head, no penetration of the pressure boundary due to such a crack would be predicted.
The above crack growth correlations were used with the SI program pc-CRACK [3] to perform PWSCC crack growth calculations. A hypothetical flaw was considered, which represents the bounds on geometries that may be encountered. This hypothetical flaw was a flaw in the axial-radial plane, across the entire remaining J-groove + butter. Such a flaw would be opened by hoop stresses, resulting in a tunnel crack under the repair weld.
PWSCC is driven by both applied and weld residual stresses. Based on analyses performed by Dominion Engineering [3], as summarized in another SI calculation [5], the normal operating stresses plus the weld residual stresses in the hoop direction can reasonably be represented by a constant through-wall stress intensity factor of 57 ksilin, at the junction of the Alloy-52 repair weld and the low alloy steel head material.
The analysis assumed that the entire original J-groove weld material was degraded (cracked), so no credit was taken for any flaw initiation or growth time in the remaining J-groove material. Because a constant applied K is assumed, starting flaw size has no effect on crack growth rate.
The flaw located in the axial-radial plane (opened by hoop stresses) was determined to be the governing flaw case, since the applied plus residual stresses in the hoop direction are greater than V Revision Preparer/Date Checker/Date 0
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those in the radial direction by a factor of two to four at the location of the postulated crack, based upon review of Dominion Engineering results [3] for nodes in this location. As a result, crack growth in a radial-circumferential plane would be slower by a comparable factor.
Nozzle 26 is being repaired during the Spring 2004 outage. The repair of this nozzle has a minimum remaining ligament of 0.5 inch [6]. The repair may also contain a weld root defect of 0.1 inch based on Framatome analyses. Both cases (with and without a postulated root defect) are considered here, with pc-CRACK results contained in Appendix A.
This analysis took no credit for the portion of the repair weld that overlapped the Alloy 182 material, and so as a result the repair weld ligament was considered to be reduced in length from the design value. The repair weld is Alloy 52 weld material applied by a GTAW process.
4.1 Fatigue crack growth Fatigue crack growth is driven by cyclic stresses. For the present case, the stress state for the assumed flaws is dominated by weld residual stresses (conservatively estimated as a constant 60 ksi) which are steady state secondary stresses. These residual stresses will not vary with heat-up/cooldown and other plant cycles, and will therefore have only a limited effect on fatigue crack growth (that is, they will have some effect on R-ratio, but none on delta K values due to cyclic plant operation. For the limited period of remaining plant operation with the current vessel head (estimated at less than 100 heat-up/cooldown cycles, producing a cyclic stress of 20 ksi),
propagation of the hypothetical cracks considered herein by a fatigue mechanism is estimated at approximately 0.0002 inch, and is therefore considered negligible compared to PWSCC propagation discussed above.
5.0 RESULTS The above analysis produces the following results. These results assume that an initial radial-axial -
flaw is present in the original J-groove weld, equal to the entire size of that weld. The growth is then calculated for the indicated remaining ligament length of potentially diluted Alloy 52 weld metal in the repair weld.
For the nozzle 26 repair (0.4 inch with an assumed root defect), the time required for the assumed flaw to propagate through the remaining ligament is 2.11 EFPY (18500 EFPH) assuming a crack growth law for Alloy 600 base material, and 1.31 EFPY (11500 EFPH) assuming a crack growth law Revision 0 1 2 3 Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 j HLG 6/3/05 Checker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page 5 of 8
for Alloy 82 weld material. A crack would have to propagate through this remaining ligament before leakage and possible wastage of the vessel head material could occur.
The conclusion of this calculation is that, even with the very conservative assumption of using Alloy 82 crack growth rates for Alloy 52 weld material, a hypothetical remnant weld crack will not grow through the repair weld ligament for essentially all of the remaining cycle of operation before the reactor vessel head is replaced during the next scheduled refueling outage.
6.0 REFERENCES
- 1. Materials Reliability Program, "Crack Growth Rates for Evaluating Primary Water Stress Corrosion Cracking (PWSCC) of Thick-Wall Alloy 600 Material," MRP-55, Revision 1, November 2002. EPRI Proprietary.
- 2. Materials Reliability Program (MRP) Crack Growth Rates for Evaluating Primary Water Stress Corrosion Cracking (PWSCC) of Alloy 82, 182, and 132 Welds (MRP-1 15), EPRI, Palo Alto, CA: 2004. EPRI Report 1006696.
- 3. Dominion Engineering, "Point Beach Unit 1 CRDM Nozzle Repair Weld Analysis" Calculation C-4430-00-2, Revision 1, SI File PBCH-09Q-204.
- 4. Structural Integrity Associates, pc-CRACK t m for Windows, version 3.1-98348.
- 5. Calculation, "Fracture Mechanics Evaluation of Point Beach Unit 1 Top Head CRDM 43.5 Degree Azimuth Penetration Weld Repair," PBCH-09Q-301, Revision 0.
- 7. Letter from Robert Chapman (NMC) to Hal Gustin (SI), "Transmittal of design information relating to purchase order P304715 for Point Beach Unit 1 reactor vessel closure head nozzle #26 repair PWSCC analysis", NPL 2005-0102, dated May 24, 2005.
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Figure 1 - Illustration of Nozzle 26 Repair and Associated Overlap Region
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Figure 2- Alloy-82 and -182 Crack Growth Rate Correlations at 617 TF, from Reference [2]
1.OOE-03 l l I -
1.OOE-04
- lI _
'I --,--
' 1.OOE-05 8x U 1 z He - I HE~ ~ - A 600 (MRP-55 1.OOE-06 1A18 IZ__
1.00E-07 0 10 20 30 40 50 60 70 80 K (ksi-InA.5)
APPENDIX A FLAW GROWTH CALCULATIONS: PC-CRACK OUTPUT V Revision Preparer/Date Checker/Date 0
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tin pc-CRACK for Windows Version 3.1-98348 (C) Copyright '84 - '98 Structural Integrity Associates, Inc.
3315 Almaden Expressway, Suite 24 San Jose, CA 95118-1557 Linear Elastic Fracture Mechanics Date: Wed Jun 01 14:30:54 2005 Input Data and Results File: 60060105.LFM
Title:
PBCH-13Q: PWSCC Calculation using Alloy 600 Load Cases:
Case ID: PWSCC --- K vs a Depth K 0.0000 57.0000 0.5000 57.0000 2.0000 57.0000 Case ID: Thresh --- K vs a Depth K 0.0000 8.1900 0.5000 8.1900 2.0000 8.1900 Stress Coefficients Case ID Co Cl C2 C3 Type PWSCC 0 0 0 0 Kvsa Thresh 0 0 0 0 Kvsa Revision 0 1 23 Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 HLG 6/3/05 Checker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page A2 of A19
Crack Model: User Input K Versus Crack Size Crack Parameters:
Max. crack size: 0.5000
Stress Intensity Factor---------
Crack Case Case Size PWSCC Thresh 0.0100 57 8.19 0.0200 57 8.19 0.0300 57 8.19 0.0400 57 8.19 0.0500 57 8.19 0.0600 57 8.19 0.0700 57 8.19 0.0800 57 8.19 0.0900 57 8.19 0.1000 57 8.19 0.1100 57 8.19 0.1200 57 8.19 0.1300 57 8.19 0.1400 57 8.19 0.1500 57 8.19 0.1600 57 8.19 0.1700 57 8.19 0.1800 57 8.19 0.1900 57 8.19 0.2000 57 8.19 0.2100 57 8.19 0.2200 57 8.19 0.2300 57 8.19 0.2400 57 8.19 0.2500 57 8.19 0.2600 57 8.19 0.2700 57 8.19 0.2800 57 8.19 Revision 0 1 2 3 v Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 HLG 6/3/05 Checker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page A3 of A19
0.2900 57 8.19 0.3000 57 8.19 0.3100 57 8.19 0.3200 57 8.19 0.3300 57 8.19 0.3400 57 8.19 0.3500 57 8.19 0.3600 57 8.19 0.3700 57 8.19 0.3800 57 8.19 0.3900 57 8.19 0.4000 57 8.19 0.4100 57 8.19 0.4200 57 8.19 0.4300 57 8.19 0.4400 57 8.19 0.4500 57 8.19 0.4600 57 8.19 0.4700 57 8.19 0.4800 57 8.19 0.4900 57 8.19 0.5000 57 8.19 Crack Growth Laws:
Law ID: PWSCC Type: Fatigue Model: Paris da/dN = c * (dK)An where dK = Kmax - Kmin dK > Kthres Kmax<Klc Material parameters:
c = 2.3700e-007 n= 1.1600 Kthres = 8.1900 V Revision Preparer/Date Checker/Date 0
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Material Fracture Toughness KIc:
Material ID: Alloy 52 Depth KIc 0.0000 200.0000 0.5000 200.0000 2.0000 200.0000 Initial crack size= 0.0100 Max. crack size= 0.5000 Number of blocks= I Print increment of block= I Cycles Calc. Print Crk. Grw. Mat.
Subblock /Time incre. incre. Law Klc PWSCC 40000 100 100 PWSCC Alloy 52 Kmax Kmin Subblock Case ID Scale Factor Case ID Scale Factor PWSCC PWSCC 1.0000 Thresh 1.0000 Crack growth results:
Total Subblock Cycles Cycles DaDn
/Time /Time Kmax Kmin DeltaK R /DaDt Da a a/thk Block: 1 100 100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.01215 0.00 200 200 5.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.01431 0.00 I1
- 1J:
300 300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.01646 0.00 400 400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.01862 0.00 500 500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.02077 0.00 600 600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.02293 0.00 700 700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.02508 0.00 800 800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.02724 0.00 900 900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.02939 0.00 1000 1000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.03155 0.00 1100 1100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.0337 0.00 1200 1200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.03586 0.00 1300 1300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.03801 0.00 1400 1400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.04017 0.00 1500 1500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.04232 0.00 1600 1600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.04448 0.00 1700 .1700 5.70e+001 8.19e+000 4.88e+001 0.14 2.1Se-005 2.15e-003 0.04663 0.00 1800 1800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.04879 0.00 1900 1900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.05094 0.00 2000 2000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.0531 0.00 2100 2100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.05525 0.00 2200 2200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.05741 0.00 2300 2300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.05956 0.00 2400 2400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.06172 0.00 2500 2500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.06387 0.00 2600 2600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.06603 0.00 2700 2700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.06818 0.00 2800 2800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.07034 0.00 2900 2900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.07249 0.00 3000 3000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.07465 0.00 3100 3100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.0768 0.00 3200 3200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.07896 0.00 3300 3300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.08111 0.00 3400 3400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.08327 0.00 3500 3500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.08542 0.00 3600 3600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.08757 0.00 3700 3700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.08973 0.00 3800 3800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.09188 0.00 3900 3900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.09404 0.00 4000 4000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.09619 0.00 4100 4100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.09835 0.00 4200 4200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1005 0.00 4300 4300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005.2.15e-003 0.1027 0.00 Revision 0 1* 2 3 Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 HLG 6/3/05 V Checker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page A6 of A19
4400 4400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1048 0.00 4500 4500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.107 0.00 4600 4600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1091 0.00 4700 4700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1113 0.00 4800 4800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1134 0.00 4900 4900 5.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.1156 0.00 5000 5000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1177 0.00 5100 5100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1199 0.00 5200 5200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1221 0.00 5300 5300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1242 0.00 5400 5400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1264 0.00 5500 5500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1285 0.00 5600 5600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1307 0.00 5700 5700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1328 0.00 5800 5800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.135 0.00 5900 5900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1371 0.00 6000 6000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1393 0.00 6100 6100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1414 0.00 6200 6200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1436 0.00 6300 6300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1458 0.00 6400 6400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1479 0.00 6500 6500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1501 0.00 6600 6600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1522 0.00 6700 6700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1544 0.00 6800 6800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1565 0.00 6900 6900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1587 0.00 7000 7000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1608 0.00 7100 7100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.163 0.00 7200 7200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1651 0.00 7300 7300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1673 0.00 7400 7400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1695 0.00 7500 7500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1716 0.00 7600 7600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1738 0.00 7700 7700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1759 0.00 7800 7800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1781 0.00 7900 7900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1802 0.00 8000 8000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1824 0.00 8100 8100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1845 0.00 8200 8200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1867 0.00 8300 8300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1889 0.00 8400 8400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.191 0.00 File No. PBCH-09Q-302
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8500 8500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1932 0.00 8600 8600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1953 0.00 8700 8700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1975 0.00 8800 8800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.1996 0.00 8900 8900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2018 0.00 9000 9000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2039 0.00 9100 9100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2061 0.00 9200 9200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2082 0.00 9300 9300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2104 0.00 9400 9400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2126 0.00 9500 9500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2147 0.00 9600 9600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2169 0.00 9700 9700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.219 0.00 9800 9800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2212 0.00 9900 9900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2233 0.00 10000 10000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2255 0.00 10100 10100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2276 0.00 10200 10200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2298 0.00 10300 10300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.232 0.00 10400 10400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2341 0.00 10500 10500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2363 0.00 10600 10600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2384 0.00 10700 10700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2406 0.00 10800 10800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2427 0.00 10900 10900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2449 0.00 11000 11000 5.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.247 0.00 11100 11100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2492 0.00 11200 11200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2513 0.00 11300 11300 5.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.2535 0.00 11400 11400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2557 0.00 11500 11500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2578 0.00 11600 11600 5.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.26 0.00 11700 11700 5.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.2621 0.00 11800 11800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2643 0.00 11900 11900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2664 0.00 12000 12000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2686 0.00 12100 12100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2707 0.00 12200 12200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2729 0.00 12300 12300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.275 0.00 12400 12400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2772 0.00 12500 12500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2794 0.00 V Revision Preparer/Date Checker/Date 0
HLG 2/17/04 GLS 2/17/04 1
HLG 5/12/04 MQ 5/12/04 2
HLG 5/15/04 PCR 5/15/04 3
HLG 6/3/05 PCR 6/3/05 File No. PBCH-09Q-302 Page A8 of A19
Ii, i 12600 12600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2815 0.00 12700 12700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2837 0.00 12800 12800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2858 0.00 12900 12900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.288 0.00 13000 13000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2901 0.00 13100 13100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2923 0.00 13200 13200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2944 0.00 13300 13300 5.70e+001 8.19e+000 4.88e+001 0.14.2.15e-005 2.15e-003 0.2966 0.00 13400 13400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.2988 0.00 13500 13500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3009 0.00 13600 13600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3031 0.00 13700 13700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3052 0.00 13800 13800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3074 0.00 13900 13900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3095 0.00 14000 14000 5.70e+001 8.19e+000 4.88e+001 0.14 2.1Se-005 2.15e-003 0.3117 0.00 14100 14100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3138 0.00 14200 14200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.316 0.00 14300 14300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3181 0.00 14400 14400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3203 0.00 14500 14500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3225 0.00 14600 14600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3246 0.00 14700 14700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3268 0.00 14800 14800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3289 0.00 14900 14900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3311 0.00 15000 15000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3332 0.00 15100 15100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3354 0.00 15200 15200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3375 0.00 15300 15300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3397 0.00 15400 15400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3418 0.00 15500 15500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.344 0.00 15600 15600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3462 0.00 15700 15700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3483 0.00 15800 15800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3505 0.00 15900 15900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3526 0.00 16000 16000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3548 0.00 16100 16100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3569 0.00 16200 16200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3591 0.00 16300 16300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3612 0.00 16400 16400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3634 0.00 16500 16500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3656 0.00 16600 16600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3677 0.00
'*1s 16700 16700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3699 0.00 16800 16800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.372 0.00 16900 169005.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.3742 0.00 17000 17000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3763 0.00 17100 171005.70e+001 8.19e+0004.88e+001 0.14 2.15e-005 2.15e-003 0.3785 0.00 17200 17200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3806 0.00 17300 17300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3828 0.00 17400 17400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3849 0.00 17500 17500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3871 0.00 17600 17600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3893 0.00 17700 17700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3914 0.00 17800 - 17800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3936 0.00 17900 17900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3957 0.00 18000 18000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.3979 0.00 18100 18100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4 0.00 18200 18200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4022 0.00 18300 18300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4043 0.00 18400 18400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4065 0.00 18500 18500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4086 0.00 18600 18600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4108 0.00 18700 18700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.413 0.00 18800 18800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4151 0.00 18900 18900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4173 0.00 19000 19000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4194 0.00 19100 19100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4216 0.00 19200 19200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4237 0.00 19300 19300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4259 0.00 19400 19400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.428 0.00 19500 19500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4302 0.00 19600 19600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4324 0.00 19700 19700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4345 0.00 19800 19800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4367 0.00 19900 19900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4388 0.00 20000 20000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.441 0.00 20100 20100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4431 0.00 20200 20200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4453 0.00 20300 20300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4474 0.00 20400 20400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4496 0.00 20500 20500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4517 0.00 20600 20600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4539 0.00 20700 20700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4561 0.00 T
Ii -
.' . .,-I1 2.70e 5 i;.;,
20800 20800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4582 0.00 20900 20900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4604 0.00 21000 21000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4625 0.00 21100 21100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4647 0.00 21200 21200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4668 0.00 21300 21300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.469 0.00 21400 21400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4711 0.00 21500 21500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4733 0.00 21600 21600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4754 0.00 21700 21700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4776 0.00 21800 21800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4798 0.00 21900 21900 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4819 0.00 22000 22000 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4841 0.00 22100 22100 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4862 0.00 22200 22200 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4884 0.00 22300 22300 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4905 0.00 22400 22400 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4927 0.00 22500 22500 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4948 0.00 22600 22600 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.497 0.00 22700 22700 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.4992 0.00 22800 22800 5.70e+001 8.19e+000 4.88e+001 0.14 2.15e-005 2.15e-003 0.5013 0.00 Crack size exceeded 0.5000 at cycle/time 22800 End of pc-CRACK Output Revision 3 Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 HLG 6/3/05 Checker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page All of A19
tm pc-CRACK for Windows Version 3.1-98348 (C) Copyright '84 - '98 Structural Integrity Associates, Inc.
3315 Almaden Expressway, Suite 24 San Jose, CA 95118-1557 Linear Elastic Fracture Mechanics Date: Wed Jun 01 14:32:23 2005 Input Data and Results File: 82-60105.LFM
Title:
PBCH-13Q: PWSCC Calculation using Alloy 82 Load Cases:
Case ID: PWSCC --- Kvs a Depth K 0.0000 57.0000 0.5000 57.0000 2.0000 57.0000 Stress Coefficients Case ID CO Cl C2 C3 Type PWSCC 0 0 0 0 Kvsa Crack Model: User Input K Versus Crack Size Crack Parameters:
Max. crack size: 0.5000 I
4-! :, " . I
Stress Intensity Factors--------------
Crack Case -
Size PWSCC 0.0100 57 0.0200 57 0.0300 57 0.0400 57 0.0500 57 0.0600 57 0.0700 57 0.0800 57 0.0900 57 0.1000 57 0.1100 57 0.1200 57 0.1300 57 0.1400 57 0.1500 57 0.1600 57 0.1700 57 0.1800 57 0.1900 57 0.2000 57 0.2100 57 0.2200 57 0.2300 57 0.2400 57 0.2500 57 0.2600 57 0.2700 57 0.2800 57 0.2900 57 0.3000 57 0.3100 57 0.3200 57 0.3300 57 0.3400 57 0.3500 57 0.3600 57 Revision 0 1 2 3 Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 HLG 6/3/05 Checker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page A13 of A19
0.3700 57 0.3800 57 0.3900 57 0.4000 57 0.4100 57 0.4200 57 0.4300 57 0.4400 57 0.4500 57 0.4600 57 0.4700 57 0.4800 57 0.4900 57 0.5000 57 Crack Growth Laws:
Law ID: Alloy 82 Type: Corrosion Model: Paris da/dN = c * (dK)An where dK = Kmax - Kmin dK > Kthres Kmax < KIc Material parameters:
c= 5.3600e-008 n= 1.6000 Kthres = 0.0000 Material Fracture Toughness KIc:
Material ID: Alloy 52 Depth KIc 0.0000 200.0000 Revision 0 1 2 3 Preparer/Date HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 HLG 6/3/05 rChecker/Date GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 PCR 6/3/05 File No. PBCH-09Q-302 Page A14 of A19
0.5000 200.0000 2.0000 200.0000 Initial crack size= 0.0100 Max. crack size= 0.5000 Number of blocks= I Print increment of block= I Cycles Calc. Print Crk. Grw. Mat.
Subblock /Time incre. incre. Law Klc PWSCC 40000 100 100 Alloy 82 Alloy 52 Kmax - Kmin Subblock Case ID Scale Factor Case ID Scale Factor PWSCC PWSCC 1.0000 Crack growth results:
Total Subblock Cycles Cycles DaDn ITime /Time Kmax Kmin DeltaK R /DaDt Da a a/thk Block: 1 100 100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.01346 0.00 200 200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.01691 0.00 300 300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.02037 0.00 400 400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.02382 0.00 500 500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.02728 0.00 600 600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.03074 0.00 700 700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.03419 0.00 800 800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.03765 0.00 900 900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.0411 0.00 1000 1000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.04456 0.00 I
.,:4; 1100 1100 5.70e+0001 0.0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.04802 0.00 1200 1200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.05147 0.00 1300 1300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.05493 0.00 1400 -1400 5.70e+001 0.OOe+000 5.70e+00 I 0.00 3.46e-005 3.46e-003 0.05838 0.00 1500 1500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.06184 0.00 1600 1600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.06529 0.00 1700 1700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.06875 0.00 1800 1800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.07221 0.00 1900 1900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.07566 0.00 2000 2000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.07912 0.00 2100 2100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.08257 0.00 2200 2200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.08603 0.00 2300 2300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.08949 0.00 2400 2400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.09294 0.00 2500 2500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.0964 0.00 2600 2600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.09985 0.00 2700 2700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1033 0.00 2800 2800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1068 0.00 2900 2900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1102 0.00 3000 3000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1137 0.00 3100 3100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1171 0.00 3200 3200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1206 0.00 3300 3300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.124 0.00 3400 3400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1275 0.00 3500 3500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.131 0.00 3600 3600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1344 0.00 3700 3700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1379 0.00 3800 3800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1413 0.00 3900 3900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1448 0.00 4000 4000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1482 0.00 4100 4100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1517 0.00 4200 4200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1551 0.00 4300 4300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1586 0.00 4400 4400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1621 0.00 4500 4500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1655 0.00 4600 4600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.169 0.00 4700 4700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1724 0.00 4800 4800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1759 0.00 4900 4900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1793 0.00 5000 5000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1828 0.00 5100 5100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1863 0.00 Revision I 0 1 .I 2 T 3 HLG 2/17/04 HLG 5/12/04 HLG 5/15/04 IHLG 6/3/05 GLS 2/17/04 MQ 5/12/04 PCR 5/15/04 l PCR 6/3/05 Page A16 of A19
5200 5200 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1897 0.00 5300 5300 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1932 0.00 5400 5400 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.1966 0.00 5500 5500 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2001 0.00 5600 5600 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2035 0.00 5700 5700 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.207 0.00 5800 5800 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2104 0.00 5900 5900 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2139 0.00 6000 6000 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2174 0.00 6100 6100 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2208 0.00 6200 6200 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2243 0.00 6300 6300 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2277 0.00 6400 6400 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2312 0.00 6500 6500 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2346 0.00 6600 6600 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2381 0.00 6700 6700 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2415 0.00 6800 6800 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.245 0.00 6900 6900 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2485 0.00 7000 7000 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2519 0.00 7100 7100 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2554 0.00 7200 7200 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2588 0.00 7300 7300 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2623 0.00 7400 7400 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2657 0.00 7500 7500 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2692 0.00 7600 7600 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2727 0.00 7700 7700 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2761 0.00 7800 7800 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2796 0.00 7900 7900 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.283 0.00 8000 8000 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2865 0.00 8100 8100 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2899 0.00 8200 8200 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2934 0.00 8300 8300 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.2968 0.00 8400 8400 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3003 0.00 8500 8500 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3038 0.00 8600 8600 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3072 0.00 8700 8700 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3107 0.00 8800 8800 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3141 0.00 8900 8900 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3176 0.00 9000 9000 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.321 0.00 9100 9100 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3245 0.00 9200 9200 5.70e+001 O.O0e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3279 0.00
'I 9300 9300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3314 0.00 9400 9400 5.70e+001 0.00e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3349 0.00 9500 9500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3383 0.00 9600 9600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3418 0.00 9700 9700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3452 0.00 9800 9800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3487 0.00 9900 9900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3521 0.00 10000 10000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3556 0.00 10100 10100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.359 0.00 10200 10200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3625 0.00 10300 10300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.366 0.00 10400 10400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3694 0.00 10500 10500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3729 0.00 10600 10600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3763 0.00 10700 10700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3798 0.00 10800 10800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3832 0.00 10900 10900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3867 0.00 11000 11000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3902 0.00 11100 11100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3936 0.00 1i200 11200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.3971 0.00 11300 11300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4005 0.00 11400 11400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.404 0.00 11500 11500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4074 0.00 11600 11600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4109 0.00 11700 11700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4143 0.00 11800 11800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4178 0.00 11900 11900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4213 0.00 12000 12000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4247 0.00 12100 12100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4282 0.00 12200 12200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4316 0.00 12300 12300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4351 0.00 12400 12400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4385 0.00 12500 12500 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.442 0.00 12600 12600 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4454 0.00 12700 12700 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4489 0.00 12800 12800 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4524 0.00 12900 12900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4558 0.00 13000 13000 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4593 0.00 13100 13100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4627 0.00 13200 13200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4662 0.00 13300 13300 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4696 0.00 2 1 3 HLG 5/15/04 IHLG 6/3/05 PCR 5/15/04 jPCR 6/3/05 File No. PBCH-09Q-302 Page A18 of A19 File No. PBCH-09Q-302 I Page A18 of A19
13400 13400 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4731 0.00 13500 13500 5.70e+001 0.00e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4766 0.00 13600 13600 5.70e+001 0.00e+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.48 0.00 13700 13700 5.70e+001 O.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4835 0.00 13800 13800 5.70e+001 O.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4869 0.00 13900 13900 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4904 0.00 14000 14000 5.70e+001 O.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4938 0.00 14100 14100 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.4973 0.00 14200 14200 5.70e+001 0.OOe+000 5.70e+001 0.00 3.46e-005 3.46e-003 0.5007 0.00 Crack size exceeded 0.5000 at cycle/time 14200 End of pc-CRACK Output File No. PBCH-09Q-302