ML040540688

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Rev. 0 to M-EP-2004-001, Fracture Mechanics Analysis for the Assessment of the Potential for Primary Water Stress Corrosion Crack Growth in the Un-Inspected Regions of the Control Rod Drive Mechanism Nozzles at ANO, Unit 1, App. C Through a
ML040540688
Person / Time
Site: Arkansas Nuclear Entergy icon.png
Issue date: 02/02/2004
From:
Entergy Operations
To:
Document Control Desk, Office of Nuclear Reactor Regulation
References
CNRO-2004-00008 M-EP-2004-001, Rev 0
Download: ML040540688 (70)
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Text

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 12 Page 5 of 10 Engineering Report M-EP-2004-001 -00 FLCntr := BZ - I Flaw Center above Nozzle Bottom ULStrs.Dist - BZ IncStrs.avg :=

20 9003 e-I I 9"3.

I-l Sat Aug 09 11:44:49 AM 2003 -

Developed by:

Verified by:

IDeveloped by.

Verified by. I

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 12 Page 6 of 10 Engineering Report M-EP-2004-001-00 ProPLength= 1.135 Flaw Length vs. Time Ifl!

1.5 t

TWCpWSCC

,J.

,g-

-5 0.5 i

I I

. I_

1.4 0 -

-0.5 -0 i

ii i

0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 TWCPWSCC(j 1)

Operating Time (years)

Entergy Model Increase in Half Length 2

U C-t.-es r-g 1.5 1

0.5 0

0 0.2 0.4 0.6 0.8 1

1.2 Operating Time (Years) 1.4 1.6 1.8 Developed by:

Verified by:

IDeveloped by.

Vernfiedby:lI

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 12 Page 8 of 10 Engineering Report M-EP-2004-001 -00 TWCCpSsc 6

1(653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 1.653 TWCp%%scc(j,7) =

14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 14.052 TWCpscc(, 8) -

8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 8.07 Develoed by Verifed-by lIDeveloped by.,

Venifed by.:

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 12 Page 7 of 10 Engineering Report M-EP-2004-001 -00 lDeveloped by:.

V ifeb

-j

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 12 Page 9 of 10 Engineering Report M-EP-2004-001 -00 Hoop Stress Plot I

I 0.0 0.5 1.0 1.5 2.0 Distance from Nozzle Bottom (inch) 2.5 3.0

_ 12 -

I P -

i i

0 I-0 Surace SIF ID Surface SIF

_ Averag SIF 0.0 0.5 1.0 Operating Time Iyears) 1.5 2.0 I Developed by:

( 1

Entergy Operations Inc.

Central Engineering Pmograms Appendix C: Attachment 12 Page 10 of 10 Engineering Report M-EP-2004-001 -00 0.3

-0.1

-0.3 00 05 1.0 Operating Tine years) 1.5 20 Developed by:

Verified by:

lIDeveloped by.,

Verifed by.:

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 1 of 11 Engineering Report M-EP-2004-001 -00 Primary Water Stress Corrosion Crack Growth Analysis ID flaw; Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-1 1707; July 1992.
2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2" Degree Nozzle, "Downhill" Azimuth Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rmlt" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

ID Surface Flaw Developed by.

J. S. Brihmadesam Verified by:

B. C. Gray C

I

Entergy Operations Inc.

Centra I Engineering Programs Appendix C; Attachment 13 Page 2 of 11 Engineering Report M-EP-2004-001 -00

1 M

MF od R.

2 id Rid := 2 t:= Ro - Rid t

Rm :=Rid+ -

Timopr := Years-365-24 CF inhr = 1.417.105 Timopr h1im Pmtblk 0=

li L

Co := 2 Rm Rt :=

Ll~03 o-tT45967Tr~ef459.67J) co

= e T0-0C Temperature Correction for Coefficient Alpha Co:= Co1 75 th percentile MRP-55 Revision I Developed by.

J. S. Blihmadesam Verified by:

B. C. Gray C~ f

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 3 of 11 Engineering Report M-EP-2004-001-00 AllData :=

0

-31

-27.02

-25.15

-23.03

-20.48 0.43 4.34 1.34

-2.69

-5.69

-6.87 l

0.77 14.73 13.5 13.2 8.38 2.38 1.04 29.69 25.97 23.31 20.78 13.22 1.26 38.19 33.75 31.17 27.2 22.26 1.44 34.2 33.74 33.77 42.18 52.96 1.58 25.57 30.89 36.52 51.36 58.03 1.72 17.9 26.79 37.38 49.17 62.92 1.86 14.14 23.87 37.13 51.82 72.27 AXLen := AllData(°)

IDAI := AllI~ata(i)

ODAIl := AllData(5)

RefPoint 1.002 Developed by.

J. S. Brihmadesam Verified by:

B. C. Gray C ~':-

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=

0 0.428 0.77 1.045 1.265 1.441 1.582 1.72

-30.999 4.34 14.732 29.692 38.185 34.205 25.565 17.898

-27.023 1.335 13.5 25.968 33.752 33.736 30.892 26.785

-25.148

-2.685 13.201 23.306 31.17 33.768 36.524 37.376

-23.031

-5.687 8.377 20.778 27.204 42.178 51.358 49.171

-20.485 )

-6.873 2.376 13.225 22.26 52.957 58.03 62.922 )

AxI := Data(°)

MD:= Data(3)

ID:= Data(l)

TQ := Data(4)

QT := Data(2)

OD := Data (5)

RID := regress(AxI, ID,3)

RQT:= regress(Axl,QT,3)

ROD := regress(AxI, OD, 3)

RMD := regress(Axl,MD, 3)

RTQ := regress(AxI,TQ,3)

Developed by.

J. S. Bnihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 5 of 11 Engineering Report M-EP-2004-001 -00 FLCntr =

Refpoint - cO if Val = I RefPoint if Val = 2 RefPoint + cO otherwise Flaw center Location above Nozzle Bottom UTip := FLCntr+ co flncStrs.avg :

ULStrs.Dist - UTip 20 S

I MeS

6) Sat Aug 09 10:59:39 AM 2003 ProLength = 0.405 Developed by:

J. S. Bnhmadesam Veniried by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Progrants Appendix C; Attachment 13 Page 6 of 11 Engineering Report M-EP-2004-001-00 Flawv Growth in Depth Direction 0.6 U

C 033 E

0.4 1 I

I I

I I

I I

I I

IIII I

I I

I I

0.2 1 n I U 0 0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 Operating Time {years}

2 1.5 I 0

co r-I 0.5 1 I

I I

I I

I I

I I

.455 I

I I

I IIIII 0

-0.5

-1 I so 0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 Operating Time {years}

Developed by:

J. S. Bnihmadesam Verified by:

8. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 7 of 11 Engineering Report M-EP-2004-001-00 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray C It3?

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 8 of 11 Engineering Report M-EP-2004-001-00 Developed by:

J. S. Blhmadesam Verified by.

B. C Gray

Entergy Operations ISc.

Central Engineering Prograns CGRsambi(xk,8) 1.02 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 1.019 Appendix C; Attachment 13 Page 9 of 11 Engineering Report M-EP-2004-001-00 CGRsambi ; 6) 14.734 15.352 15.353 15.355 15.356 15.357 15.358 15.359 15.36 15.361 15.362 15.363 15.365 15.366 15.367 15.368 CGRsambik 5) 12.33 12.864 12.865 12.865 12.866 12.867 12.867 12.868 12.869 12.869 12.87 12.87 12.871 12.872 12.872 12.873 Developed by:

J. S. Srihmadesam Verified by:

S. C. Gray

Entergy Operations Inc.

Central Engineering Programs 70 -I-ID Ho 0

30 a

Appendix C; Attachment 13 Page 10 of 11 Engineering Report M-EP-2004-001 -00 Aial Ditance From Nozzle Bottom (inch) 06 5

0 2 I

0.0 0 5 1.0 Operatng Tme Iyearn) 1.5 20 Developed by:

J. S. Blihmadesam Vefired by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 13 Page 11 of 11 Engineering Report M-EP-2004-001-00 0.4 0.3 -

C 0.2 0

C) 0.0-I 0.0 0.5 1.0 Operating Time (years) 1.5 2.0 18 u* 17 i 16 i 15 u-At 14 a 13 -

12 0.t I

SIF DepthPointl1 S Surface Point I

0.5 1.0 Operating Time (years) 1.5 2.0 Developed by:

J. S. Brlhmadesam Verified by:

B. C. Gray Cla5

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 1 of 11 Engineering Report M-EP-2004-001 -00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. 5. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-1 1707; July 1992.
2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2" Degree Nozzle, "Downhill" Azimuth Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rm/t" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

OD Surface Flaw Developed by.

J. S. Brihmadesam Verified by:

B. C. Gray C- ~,

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 2 of 11 Engineering Report M-EP-2004-001-00 Input Data :-

M 0

I --- --

od

° 2

id Rid:

2 t:= Ro-Rid Rm Rid + -2 Timopr := Years*365*24 CFinhr := 1.417*105 Timopr Cblk 1-'-

l1in Ibhim 5

Pmntblk := l50l L

Co :=- 2 Rm Rt :=-

.103-10 3

T+45967 Tref+459.67)]

C01 := e aOc Temperature Correction for Coefficient Alpha Co:= Co0 75 th percentile MRP-55 Revision 1 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray C V21

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 3 of 11 Engineering Report M-EP-2004-001-00 Stress Input Data AllData :=

0

-31

-27.02

-25.15

-23.03

-20.48 0.43 4.34 1.34

-2.69

-5.69

-6.87 0.77 14.73 13.5 13.2 8.38 2.38 1.04 29.69 25.97 23.31 20.78 13.22 1.26 38.19 33.75 31.17 27.2 22.26 1.44 34.2 33.74 33.77 42.18 52.96 1.58 25.57 30.89 36.52 51.36 58.03 1.72 17.9 26.79 37.38 49.17 62.92 1.86 14.14 23.87 37.13 51.82 72.27 AXLen := AllData(°)

IDAtII:= AlIData(')

0DA11 := AllData(5)

Refpoint = 1.002 Developed by.

J. S. Brnhmadesam Verified by:

B. C Gray Cast-

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 4 of 11 Engineering Report M-EP-2004-001-00 Data :=

0

-30.999 -27.023 -25.148 -23.031 -20.485")

0.428 4.34 1.335

-2.685

-5.687

-6.873 0.77 14.732 13.5 13.201 8.377 2.376 1.045 29.692 25.968 23.306 20.778 13.225 1.265 38.185 33.752 31.17 27.204 22.26 1.441 34.205 33.736 33.768 42.178 52.957 1.582 25.565 30.892 36.524 51.358 58.03 1.72 17.898 26.785 37.376 49.171 62.922 )

Axl := Data(°)

MD:= Data(3)

ID := Data(I TQ := Data)

QT = Data(2)

OD := Data(P)

RID := regress(Axl, ID,3)

R RMD := regress(Axl, MD, 3)

R FLCntr =

Refp0 i*t - c0 if Val = 1 Refpoint if Val = 2 RefPoint + c0 otherwise QT := regress(Axl, QT, 3)

ROD := regress(Axl, OD,3)

TQ := regress(Axl,TQ,3)

Flaw center Location Location above Nozzle Bottom UTip := FLCntr + Co InCstrs.avg =

ULStrs.Dist - UTip 20 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray cv) zq

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 5 of 11 Engineering Report M-EP-2004-001 -OD n Sat Aug 09 10:21:18 AM 2003 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 14 Page 6 of 11 Engineering Report M-EP-2004-001 -00 ProLength 0.405 Developed by.

J. S. Brihmadesam Verified by.

B. C Gray C\\-3Q

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 7 of 11 Engineering Report M-EP-2004-001-00 Developed by, J. S. Brihmadesam Verified by:

B. C. Gray C

I

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 8 of 11 Engineering Report M-EP-2004-001 -00 0.8 0.7 0.6 a) 0 aW rfl a)

Q C.

4 0.5 0.4 0.3 Influence Coefficients - Flaw 1

r I

1.....

...I......................-

...+.

--- B---

---1--..--

0.2 0.1 0 0 0.2 0.4 0.6 0.8 1

1.2 Operating time {years}

1.4 1.6 1.8 "a" - Tip -- Uniform "a" - Tip -- Linear "a" - Tip -- Quadratic "a" - Tip -- Cubic "c" - Tip -- Uniform IV-Tip -- Linear "c" - Tip -- Quadratic "c" - Tip -- Cubic Developed by:

J. S. Brihmadesam Verified by.

B. C. Gray C 1V4.

Entergy Operations hic Central Engineering Programis Appendix C; Attachment 14 Page 9 of 1I Engineering Report M-EP-2004-001-00 CGRsambi 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 CGRsambi 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 7.513 k, 6)

CGRsarbi(1;,5 )

5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 5.199 Developed by.

J. S. Bfihmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineerinig Programs 70 -

l IDD l

ODE

_ 30 I

-10 0.3 08 ia 02 U

Appendix C; Attachment 14 Page 10 cf 11 Engineering Report M-EP-2004-001-00 1

0 8 1.3 1.8 Distance from Nozzle Botlorn enches) 00 05 1.0 Operahng Time (years) 15 20 Developed by:

J. S. Snhmadesam Verified by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 14 Page 11 of 11 Engineering Report M-EP-2004-001 -00 I=--

Surface Point c"-tip)

Depth Point { a'- tip)

"t 7.0 -

I 6.5 -

E 6.0-w 5.5 5.0 -

0.0 0.5 1.0 Operating Tine (years) 1.5 2.0 Developed by.

J. S. Brihmadesam Verifed by.-

B. C. Gray CI ;;33

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 1 of 10 Engineering Report M-EP-2004-001-00 Stress Corrosion Crack Growth Analysis Through-wall flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: 8. C. Gray Note: Only for use when RotId/t is between 2.0 and 5.0 (Thick-wall Cylinder)

References:

1) ASME PVP paper PVP-350, Page 143; 1997 {Fracture Mechanics Model}
2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2"degree Nozzle, "Downhill" Azimuth Calculation

Reference:

MRP 75 th Percentile and Flaw Pressurized Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

Through Wall Axial Flaw BZ:= ULStrs.Dist -

FSnde.data.sheet Location of Blind Zone above nozzle bottom (inch)

Developed by:

Verified by:

I c 1-

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 2 of 10 Engineering Report M-EP-2004-001 -00 InDut Data :

L := 0.4 Initial Crack Length TW axial Based on Stress Distribution. Bottom end of Cnr to be set @ approximately 1 Oksi.

M ack f

S 0

i S

f S

c155

--Qg

.(

1 1

8]

L 1.0310-1+45967 1Te45967)

C o := e r f + )

Timopr:= Years 365 24 od Ro := -

2 Timropr Cblk :=

rn 1lim Ri:= id 2

t := Ro - R Rm:= R +

CFinhr:= 1.417 105 tIlim Prntblk:=

50 I

L 2

lDeveloped by:

Verifie

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 3 of 10 Engineering Report M-EP-2004-001 -00 Stress Distribution in the tube. The outside surface is the reference surface for all analysis in accordance with the reference.

DataAII:=

0

-31

-27.02

-25.15

-23.03

-20.48 0.43 4.34 1.34

-2.69

-5.69

-6.87 0.77 14.73 13.5 13.2 8.38 2.38 1.04 29.69 25.97 23.31 20.78 13.22 1.26 38.19 33.75 31.17 27.2 22.26 1.44 34.2 33.74 33.77 42.18 52.96 1.58 25.57 30.89 36.52 51.36 58.03 1.72 17.9 26.79 37.38 49.17 62.92 1.86 14.14 23.87 37.13 51.82 72.27 AIIAxl := DataAIl I AIIID:= DataAIl l AIIOD:= DataAIl 5 IDeveloped by:

C rI edb:p l A.

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 4 of 10 Engineering Report M-EP-2004-001 -00 100 75

  • 4 vU coo 50 25 0

1.002 1.582 20 10

-25

-u:)

0 0.2 0.4 0.6 0.8 1

1.2 Axial Distance above Bottom [inch]

1.4 1.6 1.8 ID Distribution OD distribution BZ = 1.002 Data:=

0

-30.999 -27.023 -25.148 -23.031 0.428 4.34 1.335

-2.685

-5.687 0.77 14.732 13.5 13.201 8.377 1.045 29.692 25.968 23.306 20.778 1.265 38.185 33.752 31.17 27.204 1.441 34.205 33.736 33.768 42.178 1.582 25.565 30.892 36.524 51.358 1.72 17.898 26.785 37.376 49.171

-20.485 )

-6.873 2.376 13.225 22.26 52.957 58.03 62.922 )

Axi:= Data ID := Data OD:= Data ROD:= regress(Axl, OD,3)

RID := regress(Axl, ID, 3)

IDeveloped by:

C, I ~kA

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 5 of 10 Engineering Report M-EP-2004-001 -00 FLCntr := BZ - I Flaw Center above Nozzle Bottom ULStrsI)ist - BZ lfcStrs.axg :=

20 eoI_

1t f Sat Aug 09 11:44:49 AM 2003 lIDeveloped by:

Verifed by. I Developed by:

Verified by:

Entergy Operations Inc.

Appendix C: Attachment 15 Engineering Report Central Engineering Programs Page 6of 10 M-EP-2004-001-00 ProPLength = 0.58 Flaw Length vs. Time 1.5

, TWC 0.58 0.5 0.50 0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 T\\VCps SC&

TCWC(j.I1) oOperating Time (years)

-Entergy Model Increase in Half Length 2

l1.5 0.5.

0 1) 0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 Operating Time I Years)

Developed by:

Verified by:

lIDeveloped by.

Verifed by

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 7 of 10 Engineering Report M-EP-2004-001-00 Developed by:

Verified by:

C ~-3r1

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 8of 10 Engineering Report M-EP-2004-001 -00 TWCpwScc 7.915 10.409 10.41 10.412 10.413 10.414 10.416 10.417 10.418 10.42 10.421 10.423 10.424 10.425 10.427 10.428 TWCPV.scC T (j, 7) =

18.77 21.031 21.033 21.035 21.037 21.039 21.041 21.043 21.044 21.046 21.048 21.05 21.052 21.054 21.056 21.058 TWCPvScc(;

13.794 16.219 16.221 16.223 16.224 16.226 16.228 16.23 16.231 16.233 16.235 16.237 16.238 16.24 16.242 16.244 lIDeveloped by.

Verified by. I Developed by:

Verified by:

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 9 of 10 Engineering Report M-EP-2004-001 -00 Hoop Stress Plot g30 X

-10

-50 0.3 0.8 1.3 Distance from Nozzle Bottom (inch) 1.8 25 -

6

, 20 -

e15 10 -

OD Surface SIF ID Surface SIF Average SIF f

0 i

S f

S 51 Ct3t 0.0 0.5 1.0 1.5 OperatingTime (years) 2.0 lDeveloped by:

Verifie

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 15 Page 10 of 10 Engineering Report M-EP-2004-001-00 06 05 c03 -

2 10-00 -

I 00 05 10 Operating Time (years) 15 2.0 Developed by:

Verified by:

lIDeveloped by.,

Venfledby.: I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 1 of 11 Engineering Report M-EP-2004-001 -00 Primary Water Stress Corrosion Crack Growth Analysis ID flaw; Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-1707; July 1992.
2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2" Degree Nozzle, "Uphill" Azimuth Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rmtt" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

ID Surface Flaw Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray C v,c'I

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 2 of 11 Engineering Report M-EP-2004-001-00

M od R.

2 id Rid := 2 t:= Ro -Rid Rm := Rid+

Timopr := Years 365s24 CFinhr := 1.417 105

-Qg 0

.0 C01 =e Timopr Tblk+9-- -

him T7+459.67 Tref F459.67, Imb him 5

PntbIk := l50l L

Co0

=

Rm Rt 01 XLI cLOc Temperature Correction for Coefficient Alpha Co = Col 75 th percentile MRP-55 Revision 1 Developed by.

J. S. Brihmadesam Verified by:

B. C Gray (7-1.KQ

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 3 of 11 Engineering Report M-EP-2004-001-00 MMMI AllData := i 0

-12.93

-10.2

-9.35

-8.62

-7,1 1.03 0.52

-4.24

-9.48

-13.63

-17.3 1.85 16.93 14.06

-0.79

-16.94

-24.21 2.5 34.47 32.57 24.11

-3.75

-20.27 3.03 45.13 44.23 39.09 19.07 5.15 3.45 53.13 46.98 39.67 37.64 40.32 3.79 53.1 46.57 45.52 57.59 62.51 3.98 47.81 46.3 50.83 63.1 76.99 I

4.16 40.48 46.13 54.31 68.33 76.8 AXLen := AilData(o)

IDAl := AllData(1)

ODA

= AllData(5)

RefPoint = 0.953 Developed by.

J. S. Brihmadesam Verified by:

B. C. Gray C t,

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=

0 1.025 1.847 2.505 3.032 3.454 3.793 3.979

-12.934 0.519 16.931 34.465 45.126 53.129 53.097 47.806

-10.204

-4.242 14.06 32.57 44.235 46.976 46.566 46.303

-9.353

-9.482

-0.789 24.112 39.085 39.674 45.522 50.825

-8.617

-13.627

-16.944

-3.745 19.069 37.639 57.594 63.105

-7.099

-17.298

-24.212

-20.265 5.15 40.319 62.505 76.986 Axl := Data<°)

MD:= Data(3)

(i)

ID :=Data TQ := Data(4)

QT := Data(2)

OD := Data(5)

RID := regress(Axl, ID,3)

RQT:= regress(Axl,QT,3)

ROD := regress(AxI, OD, 3)

RMD:= regress(Axl, MD, 3)

RTQ:= regress(Axl,TQ,3)

Developed by; J. S. Blihmadesam Verified by:

B. C. Gray C Il42~

EDtergy Operations hIc.

Centra I Engineering Prograins Appendix C; Attachment 16 Page 5 of 11 Engineering Report M-EP-2004-001 -00 FLCntr =

Refpnt -cO if Val = i Rerpoint if Val = 2 RerPoint + CO otherwise Flaw center Location above Nozzle Bottom UTip := FLCntr +CO Incstrs.avg ULStrs.Dist UTip 20 PUTIsWI n Sal Aug 09 10:59:39 AM 2003 ProPLength = 2.665 Developed by:

J. S. Brihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Prograins Appendix C; Attachment 16 Page 6 of I1 Engineering Report M-EP-2004-001-00 Flaw Growth in Depth Direction 0.6

.J~

C._

a.

2 3

0 0.4 _

I I

I I

I I

I I

I I

I I

I I

I I

I I

0.2 _

0 0

0.2 0.4 0.6 0.8 1

Operating Time 1.2

{years}

1.4 1.6 1.8 2

1.5 l u

cJ C

U 03 c.

I 0.5 [

II I

I I

I I

III I

I I

I I

I 0

-0.5 I 0 0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 Operating Time {years}

Developed by:

J. S. Brihmadesam Verifed by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 7 of 11 Engineering Report M-EP-2004-001 -00 Developed by:

J. S. Brihmadesam Verified by.

B. C Gray Cod3

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 8 of 11 Engineering Report M-EP-2004-001 -00 Developed by.

J. S. Brihmadesam Verified by.

B. C. Gray

'C I

Entergy Operations Inc.

Central Enzgineering Programs CGRsambik 8) 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 1.02 Appendix C; Attachment 16 Page 9 of 11 Engineering Report M-EP-2004-001 -00 CGRsambi (k, 6)

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265

-0.265 CGRsambik5

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0.416

-0416 Developed by:

J. S. Blihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Progranms a80

[

6 0 T

40 1

I, 20 0

-20

.40 Appendix C; Attachment 16 Page 10 of 11 Engineering Report M-EP-2004-001 -00 0

1 2

3 Axial Distance From N ozzle Bottom (inch) 06

~04 0.2 00 0.5 10 Operatrg Tme {years) t1 20 Developed by:

J. S. Blihmadesam Verified by:

B. C. Gray

Entergy Operations Inc.

Central Engineering Programs Appendix C; Attachment 16 Page 11 of 11 Engineering Report M-EP-2004-001-00 0.5 c 0.4 S

2! 0.3 -

i5 i 0.2 02 0

1D Q01 0.0 0.5 1.0 Operating Time (years) 1.5 2.0

-0.27 -

t i -0.32 -

.t U!

c -0.37 -

-0.42

[

SF Depth Point S F Surface OPointl I

0.0 0.5 1.0 Operating Time (years) 1.5 2.0 Developed by:

J. S. Brlihmadesam Velifled by:

B. C. Gray I

c I

L~~

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 1 of 11 Engineering Report M-EP-2004-001 -00 Primary Water Stress Corrosion Crack Growth Analysis - OD Surface Flaw Developed by Central Engineering Programs, Entergy Operations Inc.

Developed by: J. S. Brihmadesam Verified by: B. C. Gray

References:

1) "Stress Intensity factors for Part-through Surface Cracks"; NASA TM-1 1707; July 1992.
2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2" Degree Nozzle, "Uphill" Azimuth Calculation Basis: MRP 75 th Percentile and Flaw Face Pressurized Mean Radius -to-Thickness Ratio:- "Rmft" -- between 1.0 and 300.0 Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

OD Surface Flaw Developed by:

J. S. Brlhmadesam Verified by:

B. C. Gray CIto6I

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 2 of 11 Engineering Report M-EP-2004-001 -00 Input Data :-

M R :od id Rid:= 2 t:= Ro-Rid t

Rm :=Rid+ -

Timopr := Years*365*24 CFinhr := 1.417*105 co I 1

Timopr Cblk:

hlim I _

I i

IT+459.67 Tref+459.67)

Inim Pmtblk :=

50 L

Co := 2 Rm Rt

)] ac Temperature Correction for Coefficient Alpha Co = C01 75 th percentile MRP-55 Revision 1 Developed by.

J. S. Brihmadesam Verified by.

B. C. Gray C

F

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 3 of 11 Engineering Report M-EP-2004-001 -00 Stress Input Data AllData :=

0

-12.93

-10.2

-9.35

-8.62

-7.1 1.03 0.52

-4.24

-9.48

-13.63

-17.3 1.85 16.93 14.06

-0.79

-16.94

-24.21 2.5 34.47 32.57 24.11

-3.75

-20.27 3.03 45.13 44.23 39.09 19.07 5.15 3.45 53.13 46.98 39.67 37.64 40.32 3.79 53.1 46.57 45.52 57.59 62.51 3.98 47.81 46.3 50.83 63.1 76.99 4.16 40.48 46.13 54.31 68.33 76.8 AXLen := AlData(o)

IDAII := AllDatPe)

ODAIl := AllData(5)

RefPoint = 0.953 Developed by.

J. S. Blihmadesam Verified by:

B. C. Gray 0

CIO

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 4 of 11 Engineering Report M-EP-2004-001 -00 Data :=

0

-12.934 -10.204 -9.353

-8.617

-7.099 )

1.025 0.519

-4.242

-9.482 -13.627 -17.298 1.847 16.931 14.06

-0.789 -16.944 -24.212 2.505 34.465 32.57 24.112

-3.745

-20.265 3.032 45.126 44.235 39.085 19.069 5.15 3.454 53.129 46.976 39.674 37.639 40.319 3.793 53.097 46.566 45.522 57.594 62.505 3.979 47.806 46.303 50.825 63.105 76.986 )

Axl := DataP MD:= Data(3)

ID:= Data(i)

TQ := Data4)

QT = Data2)

OD:= Data(5)

RID := regress(Axl,ID,3)

RQT:= regress(Axl,QT,3)

ROD := regress(Axl,OD, 3)

RMD:= regress(Axl, MD,3)

RTQ:= regress(Axl,TQ,3)

FLCntr Refpoint -

if Val = i Flaw center Location Location above Nozzle Bottom Refpoint if Val 2

RefPoint + c0 otherwise UTip := FLCntr + CO InCstrs.avg =

ULStrs.Dist - UTip 20 Developed by.

J. S. Brihmadesam Verified by:

B. C. Gray c'q9

Entergy Operations Inc Central Engineering Prograins Appendix C; Attachment 17 Page 5 of 1 1 Engineering Report M-EP-2004-001 -00 ffi Sat Aug 09 10:21:18 AM 2003 Developed by.

J. S. Bnhmadesam Vedried by:

B. C. Gray

Entergy Operations Inc Centra I Engineering Programs Appendix C; Attachment 17 Page 6 of 11 Engineering Report M-EP-2004-001-00 ProLength 2.665 Developed by.

J. S. Brihmadesam Verified by:

B. C Gray C I 50

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 7 of 11 Engineering Report M-EP-2004-001 -00 Developed by:

J. S. Bnihmadesam Verified by i

B. C Gray c I rq

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 8 of 11 Influence Coefficients - Flaw 0.8 0.7 0.6 on

._0 0

E t)

U) a 0.5 0.4 0.3 0.2 0.1 0

Engineering Report M-EP-2004-001-00 Verified by B. C. Gray I

0.5 I

1.5 2

2.5 Operating time {years}

3 3.5 4

"a" - Tip -- Uniform "a" - Tip -- Linear "a" - Tip -- Quadratic "a" - Tip -- Cubic "c" - Tip -- Uniform "c'- Tip -- Linear "c" - Tip -- Quadratic "c" - Tip -- Cubic Developed by.

J. S. Brihmadesam

Entergy Operationts Inc Central Engineering Programsii Appendix C; Attachment 17 Page 9 of 11 Engineering Report M-EP-2004-001 -00 CGRsambi 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 0.621 CGRsambi k, 6)

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434

-7.434 GRsambi(k;

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625

-4.625 Developed by.e J. S. Blihmadesam Venrlfed by:-

S. C. Gray

Entergy Operations Inic Central Engigeering Programs 80 -

GO -

40 -

1 20 0

-20 0 06-a04a a

02 Appendix C; Attachment 17 Page 10 of 11 Engineering Report M-EP-2004-0011-00 I

2 3

Distance from Nozzle Bottom (mches) nfl 

0.0 05 10 Operating Tome (years) 15 2.0 Developed by:

J. S. Snhmadesam Venried by:

B. C. Gray

Entergy Operations Inc Central Engineering Programs Appendix C; Attachment 17 Page 11 of 11 Engineering Report M-EP-2004-001-00

-4.5 5.0 Ita! -8.0,

-6.5 2

-7.0

-7.5 -

XSurface Pint Cc-tip)

D P

tip 0.0 0.5 1.0 Operating Time {yeers) 1.5 2.0 Developed by.

J. S. Blihmadesam Verified by.

B. C Gray i

C53

=

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 1 of 10 Engineering Report M-EP-2004-001-00 Stress Corrosion Crack Growth Analysis Through-wall flaw beveloped by Central Engineering Programs, Entergy Operations Inc.

beveloped by: J. S. Brihmadesam Verified by: B. C. Gray Note: Only for use when Rostsd,/t is between 2.0 and 5.0 (Thick-wall Cylinder)

References:

1) ASME PVP paper PVP-350, Page 143; 1997 {Fracture Mechanics Model)
2) Crack Growth of Alloy 600 Base Metal in PWR Environments; EPRI MRP Report MRP 55 Rev. 1, 2002 Arkansas Nuclear One Unit 1 Component: Reactor Vessel CRDM -"26.2"degree Nozzle, "Uphill" Azimuth Calculation

Reference:

MRP 75 th Percentile and Flaw Pressurized Note: Used the Metric form of the equation from EPRI MRP 55-Rev. 1.

The correction is applied in the determination of the crack extension to obtain the value in inch/hr.

Through Wall Axial Flaw BZ:= ULStrsDist - FSnde.data.sheet Location of Blind Zone above nozzle bottom (inch)

Developed by:

Verified by: l 1

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 2 of 10 Engineering Report M-EP-2004-001 -00 InDut Data :

L := 0.25 Initial Crack Length TW axial Based on Stress Distribution. Bottom end of C to be set @ approximately 1 Oksi.

M M

S rack f

S 0

i S

S f

S Fed by: l I

- Q g (1

I 1

]

L 1~.103 IO~ tT+459.67 Tref+459.67)j Co:=

e

.0c Timopr:= Years 365-24 od Tiflopr Cblk:=

'Jim Ri:= i2 t := Ro - Ri Rm = R + -

2 CFinhr:= 1.417105 Pmtblk:= l im I

L 2

Developed by:

Verif

lIDeveloped by:

Verifi

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 3 of 10 Engineering Report M-EP-2004-001-00 Stress Distribution in the tube. The outside surface is the reference surface for all analysis in accordance with the reference.

DataAII B

OOM 0

-12.93

-10.2

-9.35

-8.62

-7.1

-1.03 0.52 4.24

-9.48

-13.63

-17.3 1.85 16.93 14.06

-0.79

-16.94

-24.21 2.5 34.47 32.57 24.11

-3.75

-20.27 3.03 45.13 44.23 39.09 19.07 5.15 3.45 53.13 46.98 39.67 37.64 40.32 3.79 53.1 46.57 45.52 57.59 62.51 3.98 47.81 46.3 50.83 63.1 76.99 4.16 40.48 46.13 54.31 68.33 76.8 AllAxl:= DataAll I AIIID:= DataAll I AIIOD:= DataAlI5 Developed by:

Veifed by

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 4 of 10 Engineering Report M-EP-2004-001 -00 100 75 50 I v:

v:

25 0

0.953 I,

=

i.. 1-................................

3.793 20

.10

-25

-50 B

0.5 l

1.5 2

2.5 Axial Distance above Bottom [inch]

3 3.5 4

4.5 ID Distribution OD distribution BZ = 0.953 Data:=

0

-12.934 -10.204 -9.353 1.025 0.519

-4.242

-9.482 1.847 16.931 14.06

-0.789 2.505 34.465 32.57 24.112 3.032 45.126 44.235 39.085 3.454 53.129 46.976 39.674 3.793 53.097 46.566 45.522 3.979 47.806 46.303 50.825

-13.62-1

-16.944

-3.745 19.069 37.639 57.594 63.105

-1 /.29X

-24.212

-20.265 5.15 40.319 62.505 76.986 )

-8.617

-7.099 A Axl:= Data ID:= Data (5)

OD:=Data RID:= regress(Axl, ID,3)

ROD:= regress(Axl, OD,3)

IDeveloped by:V C by7

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 5 of 10 Engineering Report M-EP-2004-001 -00 FLCIitr := B3Z - I Flaw Center above Nozzle Bottom ULStrs.Dist - BZ lncStrs.ag :=

20 oe e

e_

e I

ffi Sat Aug 09 11:44:49 AM 2003 Develped y:

Vrll~d by IDeveloped by.-

Verified by: I

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 6of10 Engineering Report M-EP-2004-001 -00 PropLength = 2.84 Flaw Length vs. Time 1.5 2,

TWCpvscc j.3 0

LLJ 0.5 0 -

-0.5

-0 0.2 0.4 0.6 0.8 1

1.2 1.4 1.6 1.8 TWCPWvSCC j I)

Operating Time (years)

Entergy Model Increase in Half Length 1.

C U

U u

1.5 0.5 0

0 0.2 0.4 0.6 0.8 1

1.2 Operating lime 'Years) 1.4 1.6 1.8 Developed by:

Verified by:

lIDeveloped by:

Verified by.:

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 8 of 10 Engineering Report M-EP-2004-001 -00 TWCP%% SCC(j 6) =

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-10.012

-1 0.012

-1 0.012 T\\\\'CpScc(j.71

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.676

-2.6 76 T\\\\WCp\\SCC(j 8)

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35

-6.35 Developed by:

Verified by:

lIDeveloped by:

Verified by: I

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 7 of 10 Engineering Report M-EP-2004-001 -00

.I Developed by:

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 9 of 10 Engineering Report M-EP-2004-0011-00 Hoop Stress Plot 40 i20 I

2 3

Distance from NozzIl Bottom {inch}

-3 OD Surface SIFl 6

ISurface SII I

Average SIF FS i

-9 -

0.0 0.5 1.0 Operating Time {years) 1.5 2.0 Developed by:

Verified by:

CY~1

Entergy Operations Inc.

Central Engineering Programs Appendix C: Attachment 18 Page 10 of 10 Engineering Report M-EP-2004-001-00 06 I 042 102 00 00 05 1 0 Operahng Time {yeam)

I5 20 Developed by:

Verified by:

lIDeveloped by.,

Verified by.:

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