Diagnostic Technology for Degradation of Feeder Pipes and ...
72
KAERI/CM-549/200 1 -TS, x/c EIclzk 41 El!gE XI2 L-r 0-1’ &aEt 7197flS Diagnostic Technology for Degradation of Feeder Pipes and Fuel Channels in CANDU Reactor ZFTS =* SHojs jiHL=IOI z- kIjS4Odgt Lo= gq g gilt 7Ig7HgJ Development of Aging Assessment Technology for CANDU Pressure Tubes
Transcript of Diagnostic Technology for Degradation of Feeder Pipes and ...
KAERI/CM-549/200 1
-TS, x/c EIclzk 41 El!gE X I 2 L-r 0-1’ &aEt 7197flS Diagnostic Technology for Degradation of Feeder Pipes
and Fuel Channels in CANDU Reactor
ZFTS =* SHojs jiHL=IOI z- kI jS4Odgt Lo= gq g gilt 7Ig7HgJ Development of Aging Assessment Technology for CANDU
Pressure Tubes
DISCLAIMER
Portions of this document may be illegible in electronic image products. Images are produced from the best available original document.
’200’29 4% 309
O b 1
.. - 11
iV
SUMMARY
This research project attempts to resolve two issues related to
integrity assessment of CANDTJ pressure tubes: (1) finite element
analysis of blister formation and growth and (2) engineering estimation
scheme to predict deflection of pressure tubes due to creep. For each
subject, the following issues have been addressed:
1. Development of Finite Element Analysis Technique to Predict Blister
Formation and Growth
- Development of thermal analysis technique
- Development of hydrogen diffusion simulation technique
- Development of FE analysis technique for blister formation and
growth
- Effect of initial hydrogen content on blister formation and growth
2. Development of Mechanistic Model for Predicting Creep Deflection of
Pressure Tubes
- Development of mechanistic model based on reference stress
approach
- Validation of the proposed method against 3-D FE results
- Provision of integrity assessment method for CANDU pressure tubes
Results for blister formation and growth can be summarised as
follows. Comparing the results from FE analysis, developed within this
project, with experimental data shows some differences ranging from
10% to 57%. Such differences results from two possible sources. One
source might be neglecting two phase diffusion. The present FE
analysis considers only single phase diffusion, and thus blister growth
can not be modelled accurately. The other would be inherent errors
associated with experimental measurement. Therefore it has been
concluded that further efforts should be made on two phase diffusion
modeling.
For developing mechanistic model of creep deflection, the proposed
reference stress based model is simple to use. Extensive validation
against creep FE results shows that the proposed model is also
accurate. Another advantage of the proposed model is that it can be
easily generalised to more complex problems. Therefore it is believed
that the present results provide a sound basis for integrity assessment
of CANDU pressure tubes.
- vi -
CONTENTS
................................................................................ Chapter 1 INTRODUCTION 1
Section 1 Background 1
Section 2 Objective 2
Section 3 Scope 3
.....................................................................................
..........................................................................................
.................................................................................................
................................................................... Chapter 2 STATE-OF-THE-ART 5
.................................................................... Chapter 3 RESEARCH RESULTS 6
Section 1 Development of Finite Element Analysis Technique
to Predict Blister Formation and Growth .............................. 6
Section 2 Development of Mechanistic Model for Predicting Creep .................................................. Deflection of Pressure Tubes 16
Section 3 A Reference Study for the Irradiation Effect on Material Properties and Degrading Mechanism ............... 30
Chapter 5 THE PLAN FOR APPLICATION OF RESULTS .................. 33
Section 1 Academic Side 33
Section 2 Industrial Side 33
..............................................................................
..............................................................................
................................................................................... Chapter 6 REFERENCES 34
............................................................................................................. AppENDIX 36
vii -
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. ......................................................................... 41 2 34 S?l 7197fl%! 5
................................................................... 41 3 %I 3777H95=8J 4% 2 zq 6
zj] 1 ZJ %qgq S d & E ] %A$) 2 d N - 0 0 41% 33 71% 6
1. “ l 2 6
.....................
........................................................................................................
................................ 2. 4-J-3- E!=?‘- -!&q&E{ gA$) 2 Ad%)- 814 7 3. cl-%t$ ~ 7 1 ++- 5s 2 s++j ~1aql q$ +& 2+g ..14
16
1. qq”2F 16
2. g q g q &AJ 2 34% 234% 4 1 ~ ~ q$ z-qq a]^,~+ ..17 3. a]̂ ,F)q zj1A]S 4 9 -f;-3&&3flq 21
..................... zj] 2 2 gq gq 3j $ qgg- q 3 7) 7 q ; y E.3 71 “,F ......................................................................................................
......................................
............................ 4. 321% -f;-g&+-8lq-g o]$$ +5qq.”?xi % $ 24
zj1 3 3 E+l] qg @ % 7 ] 7 2 JllS+g+q qq- ............................................................................................. x)-g+;”d 30
............................................. 41 4 3% 9 7 7 1 % +-E g A d z qq 71qZ 32
..................................................................... 41 5 %l 9771$3q-Sq g-$J-fi]q 33
zj] 1 % qg7q q$ 33
41 2 3 ,̂Fq zj qg .......................................................................................
....................................................................................... 33
................................................................................................... zj1 6 &k &-I-3 1 1- 34
......................................................................................................................... v q 36
- viii -
1 -
- 2 -
- 3 -
- 4 -
- 5 -
- 6 -
- 7 -
0.69mm r , if r10.69mm
, PRESSURETUBE
(3.1.1)
Fig. 3.1.1 (a> Scheme showing geometrical relationship between the
sample and the pressure tube from which it was extracted.
(b) Experimental device for blister formation (Domizzi,
1996).
- 8 -
Table 3.1.1 Thermal parameters used in estimate the temperature field
(Domizzi, 1996).
Heat transfer coefficient between sample and surrounding, air
hair
~~
Thermal conductivity of Zr-2.5Nb 1 kzr-Nb 1 0.0215W/(mm"C )
2.1 x ~ O - ' W / ( T T Z ~ ~ "C
Thermal conductivity of A1 I kAr I 0.2W/(mm°C)
Heat transfer coefficient between sample and cold finger (maximum)
1.7852 W/( mmz "C )
Heat transfer coefficient between sample and aluminum block
I hblock I 9.81 x 1 0 - 4 ~ / ( m d 0 c )
t 17mm
Fig. 3.1.2 2-dimensional finite element model for the present work.
- 9 -
12 12 5
-3.4 -0.4 0
Radial location (mm)
Vertical location (mm)
Measured temperature 392 390 >352
11
0
392
Fig. 3.1.3 Estimated temperature field in the sample and in the cold
( C ) FE
results( C ) 385.95 388.15
finger.
368.55 384.95
- 10 -
(3.1.2) ac at - +div ( YJ, + YJS) = 0
(3.1.3)
D= D,exp( - Q/RT) (3.1.4)
- 11 -
Table 3.1.3 Material constants for the thermal-diffusion of hydrogen in
Zr-2.5%Nb (Domizzi, 1996).
Gas constant
Frequency factor
R 8.314 J/Kmol
DO 0.41 mm'/s
Activation energy for diffusion
Heat of transport
Q
Q* 20,930 Jlmol
38,400 J/mol
Fig. 3.1.4 Computed concentration field at times 6 X lo5 sec.
- 12 -
3.0 1 0
E 2.5 5 E 0 Lf 2.0 a, a, E 1.5 ca
CI
*I4 n 1.0
0.5
E- 0 0
FE Results
0 . 0 1 ' I ' I ' I ' I ' I ' I ' 0 100 200 300 400 500 600 700
Time, 1000 sec
1.5
E 1.0
4 @
E
a 0.5
0.c
r- o Experimental FE Results
0 - I 100 200 300 400 500 600 700
Time, 1000 sec
Fig. 3.1.5 Diameter and depth of computed blister as a function of time.
Also shown are the experimental results, for the purpose of
comparison.
- 13 -
- 14
0.5
0.4
$ 0.3
E ̂e 0.2 a
0.1
0.0' ' I ' I ' I ' I " ' I ' 0 100 200 300 400 500 600 700
Time, 1000 sec
Fig. 3.1.6 Plot of blister depth vs. time for blister formation.
- 15 -
16 -
I Symm.
.. I ............................................ I.. ........ ...,. ‘ G ,
... ..............., i” Fig. 3.2.1 Schematic illustration of a cylinder under pure bending, and
relevant dimensions.
e M L ~ 6 =- 2EI (3.2.1)
17
I=$ (e- e) (3.2.2)
_-- E - + f f ( + ) " Eo Go
(3.2.3)
(3.2.4)
Mo = 4Rkt6, (3.2.5)
- 18 -
(3.2.6)
(3.2.8)
(3.2.9)
(3.2.10)
- 19 -
M n-1 -=a(-) aP Mre/
(3.2.11)
(3.2.12)
_ z - . M 6" - (3.2.13)
(3.2.14)
-- 20 -
(3.2.15)
6= 6"+ 6" (3.2.17)
21
Table 3.2.1 Summary of FE calculations for the present work. For each
case, two values of L(L=5R0 and lOR,) are used, giving a
total of 16 cases.
Loading Condition
Bending Moment
R J t n
10 1, 3, 5, 10
15 1, 3, 5, 10
Fig. 3.2.2 A typical 3-D FE model for R,dt=lO, employed in the
present elastic-plastic FE analysis.
- 22 -
Table 3.2.2 Comparison of elastic FE deflection results with those
estimated using the theoretical solution.
Theoretical (mm)
L RnJt ABAQUS Difference
(mm) (%) 10Ro
5Ro 10
10.07 10.04 0.3
2.52 2.48 1.6
- 23 -
lOR,
5Ro 15
9.46 9.43 0.3
2.37 2.33 1.7
Table 3.2.3 Values of the h-function, determined from elastic-plastic FE
results.
R d t L
10Ro
5Ro 10Ro
5Ro
10
15
h(n=l) h(n=3) h(n=5) h(n=lO)
6.633 6.943 6.953 6.939
3.265 3.363 3.373 3.367
6.536 6.836 6.852 6.866
3.214 3.310 3.325 3.331
0.2 0-4 1 0.2
0-4 i 0.0' ' I * ' I " I * "
3 6 9 12 3 6 9 12 0.0' ' " " I ' '
n n
Fig. 3.2.3 Variation of h(n)/h(n=l) with n for (a) R,dt=10 and (b)
RJt=15.
-- 24 -
800
600
2 8 400 m m E 3i
200
0 (
SA312 TP316 (288°C)
0 0
O0 0
0.1 0.2 0.3
Strain
Fig. 3.2.4 True stress-strain data for the SA312 TP316 stainless steel
(288°C 1, employed in the present elastic-plastic FE analysis
for validation.
- 25 -
(3.2.20)
B = 2 . 2 2 4 3 ~ 1 0 - ' ~ , m=4.3056, 0-0.44633 -7.0337 (3.2.21) ~ = 1 . 7 1 2 2 ~ 1 0 - ~ , n=8.20, tfp=2.75366x1019 o
(3.2.22) E,= ko"f'+ mont k = 7 . 4 3 ~ 1 0 - ~ ; m = 1 . 9 0 8 ~ 1 0 - ' ~ ; n=5.4 ; p=2.364
-- 26 -
40
30
b 2o * 10
0.0 0.5 1 .o 1.5 2.0
ANA4
Fig. 3.2.5 Comparison of the maximum deflection from the
elastic-plastic FE analysis, with the present prediction.
- 27 -
-- 28 -
0 1 2 3 4 5
(b) Primary-Secondary creep law
0 0 2
10 -
4 6 8
t / L d
" 0 2 4 6 8
Fig. 3.2.6 Comparison of the maximum deflection from the elastic-creep
FE analysis, with the present prediction: (a> the power-law
creep law, (b) the primary-secondary creep law and (c) the
secondary- tertiary creep law.
- 29 -
1. Fitness-for-Service Guideline Rev. O q Part In (AEXL, 1991)
3. ASME PVPol] 3!2€%! CANDU %qg 88 &% (Hopkins,
1998)
4. AECL 9 - X A j , "Highlights of the Metallurgical Behavior of CANDU
Pressure Tube"
5. AECL X i l A j , "Fracture Toughness of Irradiated Zr-2.5%Nb
Pressure Tube from CANDU Reactor" (Chow, 1990)
- "Measurements of Fuel Channel Deformation from Operation
Power Reactor"
C.W. Schulte (Ontario Hydro Technology) - "SAG of Pressure Tube and Calandria Tube"
A.R. Causey, A.G. Norsworth, and A, Schabkur
- "Creep and Growth of Pressure Tubes"
J.D. Parker, A.R. Causey, and R.G. Fleck
- "Limitations of Current Design Equations"
A.R. Causey, C.E. Ells, V.Fidleris, and J.I. Veeder
- 31
32 -
ABAQUS Standarwser’s Manual, Version 5.8, 1998, Hibbit, Karlsson
& Sorensen Inc., Pawtucket, RI, USA.
AECL (19911, ”Fitness-for-Service Guidelines for Zirconium Alloy
Pressure Tubes in Operating CANDU Reactors,’’ Revision 0, COG-91
-66.
AFCEN (19851, ”RCC-MR : Design and Construction Rules for
Mechanical Components of FBR Nuclear Islands,” Paris.
Byme, T.P., Gadala, M.S. and Leger, M. (19851, ”Hydrogen
Redistribution Due to Temperature Gradients in Zirconium Alloys-a
Finite Element Approach,” 8th International Conference on Structural
Mechanics in Reactor Technology, Vol. B, pp. 123-129.
Cheong, Y.M., Gong, U.S., Choo, K.N., Kim, S.S. and Kim, Y.S. (2001),
”Formation and Growth of Hydride Blisters in Zr-2.5Nb Pressure
Tubes,” Journal of the Korean Nuclear Society, Vol. 33, No. 2, pp.
192-200.
Chow, C.K., Coleman, C.E., Hosbons, R.R., Davies, P.H., Griffiths, M.
and Choubey, R. (1990), ”Fracture Toughness of Irradiated Zr-2.5%Nb
Pressure Tube from CANDU Reactor,” AECL.
Crandall, S.H., Dahl, N.C. and Lardner, T.J. (1978), “An Introduction to
the Mechanics of Solids,” 2nd Edition, McGraw-Hill, Inc.
CRNL (19871, ”Fuel Channel Technology Seminar, Vol I, 11”.
- 34
CSA (1994), "Periodic Inspection of CANDU Nuclear Power Plant
Components," CAN/CSA N285.4.
Domizzi, G., Enrique, R., Ovejero-Garcia, J. and Buscaglia, G.C. (19961,
"Blister Growth in Zirconium Alloys: Experimentation and Modeling,"
Journal of Nuclear Materials, Vol. 229, pp. 36-47.
Hopkins, J.R., Price, E.G., Holt, R.A. and Wong, H.W. (19981, "Fuel
Channel Fitness-For-Service," Proceeding of ASME Pressure Vessels
and Piping Conference, San Diego, California, Vol. 360, pp. 207-214.
Jovanovic, M., Stem, A., Kneis, H., Weatherly, G.C. and Leger, M.
(1988), "Thermal Diffusion of Hydrogen and Hydride Precipitation in
Zr-Nb Pressure Tube Alloys," Canadian Metallurgical Quarterly, Vol.
27, NO. 4, pp. 323-330.
Miller, A.G. (1988), "Review of Limit Loads of Structures Containing
Defects," International Journal of Pressure Vessels and Piping, Vol. 32,
pp. 191-327.
Penny, R.K. and Marriot, D.L. (19951, "Design for Creep," 2nd Edition,
Chapman & Hall.
Shoukn, M. and Chan, A.M.C. (1987), "On the Thermal Analysis of
Pressure TubeLalandria Tube Contact in CANDU Reactors," Nuclear
Engineering and Design, Vol. 104, pp. 197-206.
Varias, A.G. and Massih, A.R. (ZOOO), "Simulation of Hydrogen
Embrittlement in Zirconium Alloys under Stress and Temperature
Gradients," Journal of Nuclear Materials, Vol. 279, pp. 273-285.
- 35 -
*HEADING
HEAT TRANSFER(TEMPERATURE) ANALYSIS FOR DIFFUSION
ANALYSIS
*PREPRINT,MODEL=NO,ECHO=NO,HISTORY =NO
*RESTART,WRITE,FREQ =500
*NODE
1,090 17,0.69,0
31,1.25,0
401,17,0 ******************* 50001,0,3.9
50017,0.69,3.9
5oO31 ,I .25,3.9
50401,17,3.9 ******************* 13OOO1,0,11.1
13oO17,0.69,11.1
13OO31,1.25,11.1
*NGEN,NSET=SAM-LOW
1,17,1
17,31,1
3 1,401,l
36 -
*NGEN,NSET=SAM-UPP
50001,50017,l
5OO17,5OO31,1
5OO31,50401,1
*NFILL,NSET=SAMPLE
SAM-LOW,SAM-UPP,100,500
*NSET,NSET=COLD-LOW,GEN
50001,50017,l
50017,50031,l
*NGEN,NSET=COLD-UPP
130OO1,13OO17,1
13OO17,13OO3 1,l
*NFILL,NSET=COLD
COLD-LOW,COLD-UPP,160,500
*ELEMENT,TYPE=DCAX8
1,1,3,1 OO3,1OO1,2,503,1OO2,501
2OO00,50001,5OOO3,51003,51001,5OOO2,50503,51002,50501
*ELGEN,ELSET=EL-SAMPLE
1,200,2,1,50,1000,200
*ELGEN,ELSET=EL-COLD
2OOO0,15,2,1,80,1000,15
*ELSET,ELSET=H-BLOCK,GEN
1,200,l
200,10000,200
*ELSET,ELSET=H-AIR1,GEN
*ELSET,ELSET=H- AlR2,GEN
9816,1OOOO,l
*ELSET,ELSET=H-COLD-U,GEN
21 185,21199,l
*ELSET,ELSET=H-COLD-R,GEN
- 37 -
20014,21199,15
*NSET,NSET=S AM-LEFT,GEN
1,50001,500
*NSET,NSET=COLD-LEFT,GEN
5OOO1,13ooO1,500
*SOLID SECTION,MAT=AL,ELSET=EL-COLD *MATERIAL,NAME=AL
*DENSITY
271OE-9
*CONDUCTIVITY
200
*SPECIFIC HEAT
0.932347707E6
*SOLID SECTION,MAT=ZR,ELSET=EL- SAMPLE
*MATERIAL,NAME=ZR
*DENSITY
WOE-9
*CONDUCTIVITY
21.5
*SPECIFIC HEAT
0.285E6 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . **TEMPERATURE ENTERED IN KELVIN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *PHYSICAL CONSTANTS,ABSOLUTEZ=O
*FILE FORMAT, ZERO INCREMENT
*INITIAL CONDITIONS,TYPE=TEMP
COLD,473.15
SAMPLE,663.15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
- 38 -
*STEP,INC=999999
*HEAT TRANSFER,DELTMX=20
1E-20,600000,10,500
*FILM
H-BLOCK,F1,688.15,0.981
H- AIR1 ,F2,298.15,0.021
H-AIR2,F3,298.15,0.021
H-COLD-U,F3,293.15,0.021
H-COLD-R,F2,298.15,0.021 980 1 ,F3,473.15,1673.625
9802,F3,473.15,1450.475
9803,F3,473.15,1227.325
9804,F3,473.15,1004.175
9805,F3,473.15,781.025
9806,F3,473.15,557.875
9807,F3,473.15,334.725
9808,F3,473.15,111.575
*NODE PRINT,NSET=SAMPLE,FREQ=50 NT
*NODE FILE,FREQ=l
NT
*EL PRINT,FREQ=O
*EL FILE,POSITION=AVERAGED AT NODES,FREQ=O
*END STEP
39 -
*HEADING
HYDROGEN DIFFUSION ANALYSIS FOR CANDU PRESSURE
TUBE
*PREPRINT,MODEL=NO,ECHO=NO,HISTORY =NO
*RESTART, WRITE,FREQ= 10
*NODE
1,070 17,0.69,0
31,l. 25,O
40 1 , 17,O ******************* 50001,0,3.9
50017,0.69,3.9
50031,1.25,3.9
50401,17,3.9 ******************* 130001,0,11.1
130017,0.69,11.1
130031,1.25,11.1 *NGEN,NSET=SAM-LOW
1,17,1
17,31, 1
31,401 , 1
*NGEN,NSET=SAM-UPP
50001,50017,l
5OO17,50031 , 1
5OO31,50401,1
*NFILL,NSET= SAMPLE
-- 40 -
SAM-LOW,SAM-UPP, 100,500 *NSET,NSET=COLD-LOW,GEN 5OOO1,50017,1 5OO17,5OO31,1 *NGEN,NSET=COLD-UPP 13OOO1,13OO17,1 130017,130031,l *NFILL,NSET=COLD COLD -LOW, C OLD - UPP, 160,500 *ELEMENT,TYPE=DCAX8 1,1,3,1OO3,1OO1,2,503,1OO2,501 20000,50001,5OOO3,51OO3,51001,5OOO2,50503,51002,50501 *ELGEN,ELSET=EL-SAMPLE 1,2OO,2,1,5O,lOOO,2OO
*ELGEN,ELSET=EL-COLD 2OOOO,15,2,1,80,1OOO,15
*ELSET,ELSET=H-BLOCK,GEN
1,200,l
200,1oooo,200
*ELSET,ELSET=H-AR1,GEN
*ELSET,ELSET=H-AIRZ,GEN 9816,1oooO,1
*ELSET,ELSET=H-COLD-U,GEN
21185,21199,l *ELSET,ELSET=H-COLD-R,GEN 20014,21199,15 *NSET,NSET=SAM-LEFT,GEN 1,50001,500 *NSET,NSET=COLD-LEFT,GEN 50001,13OOO1,500
- 41 -
*PHYSICAL CONSTANTS,ABSOLUTEZ=O
*SOLID SECTION,MAT=AL,ELSET=EL-COLD *MATERIAL,NAME=AL
*CONDUCTIVITY
200 *SOLUBILITY
1
*DIFFUSIVITY
0
*KAPPA,TYPE=TEMP
0
*SOLID SECTION,MAT=ZR,ELSET=EL-SAMPLE *MATERIAL,NAME=ZR
*CONDUCTIVITY
21.5
*SOLUBILITY
1
* DIFFUS IVITY
0.000007454,,423.15
0.000023624,,473.15
0.000060054,,523.15
0.000129727,,573.15
O.oOO387261,,663.15
0.000498760,,688.15
*KAPPA,TYPE=TEMP
951 88.57944,16000,423.15
851 29.551 71,16OOO,473.15
76993.30477,16000,523.15
70276.62460,16oOO,573.15
60738.96915,16OOO,663.15
-- 42 -
58532.36560,160OO,688.15 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . **TEMPERATURE ENTERED IN KELVIN . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *INITIAL CONDITIONS, TYPE=TEMPERATURE, FILE=TEMPER,
STEP=l, INC=O
*INITIAL CONDITIONS, TYPE=CONCENTRATION
SAMPLE,300
COLD,O . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . * STEP,INC =999999
*MASS DIFFUSION, STEADY STATE
0.001,0.OO1
*NODE PRINT,FREQ=O
*NODE FILE,FREQ=O
NNC
CFL
RFL
*EL PRINT,FREQ=O
*EL FIL,E,FREQ=O
ESOL
SOL
CONC
SOL
ISOL
MFL
*END STEP
*STEP,INC=999999
*MASS DIFFUSION,DCMAX=2000
50,6OOOOO, ,500,
- 43 -
*TEMPERATURE,FILE=TEMPER,BINC= 1 ,BS?'EP= 1
*NODE PRINT,FREQ=O
*NODE FILE,FREQ =O
NNC
CFL
RFL
*EL PRINT,FREQ=O
*EL FILE,FREQ=O
ESOL
SOL
CONC
SOL
ISOL
MFL
*END STEP
-- 44
*HEADING
CANDU Pressure Tube Deflection Analysis
Ro=55mm, Rm/t=lO
Pipe Length : 5 5 0 m
Uncracked Pipe Analysis : Elastic-Plastic Analysis
alpha=l, n=3
Unit : N, m, MPa
*RESTART,WRITE,FREQ =999999
*PREPRINT,MODEL=NO,HISTORY =NO,ECHO=NO
*NODE
9
233,49.76 190476,0,0
1033,49.76 19O476,78.1658 1720,O
1049,49.76190476,156.3316344,0
12233,49.76190476,0,50
13033,49.7619O476,78.16581720,50
13049,49.7619O476,156.33 16344,5O
172233,49.76190476,0,200
173033,49.76190476,78.16581720,2OO
173049,49.76190476,156.3316344,200
332233,49.76190476,0,35O
333033,49.76190476,78.16581720,350
333049,49.76190476,156.3316344,350
732233,49.76190476,0,550
733033,49.76 1 90476,78.1658 1720,550
733049,49.76190476,156.3316344,550
*NGEN,NSET= ARCBOUND
233,1033,50
*NGEN,NSET=LINE1033
-- 45
1033,1049,l
*NSET,NSET=VERTICLl
ARCBOUND,LINE1033
*NGEN,NSET=VERTICLZ
12233,13033,50
13033,13049,l
*NFILL,NSET=MIDDLE
VERTICLl ,VERTICL2,4,3000
*NGEN,NSET=RGHTEDGE
172233,173033,50
173033,173049,l
*NFILL,NSET=RIGHT
VERTICLZ,RGHTEDGE,8,20000 *NGEN,NSET=LLl
332233,333033,50
333033,333049,l
*NFILL,NSET=RIG
RGHTEDGE,LL1,8,2OOOO
*NGEN,NSET=PIlZ
732233,733033,50
733033,733049,l
*NFILL,NSET=PI
LLi,mz,zo,zoooO
*NSET,NSET= ALLIN
MIDDLE,RIGHT,RIG,PI
*NCOPY, CHANGE NUMBER=4000000, OLD SET=ALLIN,
REFLECT=MIRROR, NEW SET=ALLOUT
52.38095238, -5, -5,52.38095238, -2, -5
52.38095238, -5, -2
*NFILL,NSET= ALL
- 46 -
ALLIN,ALLOUT,4,1OOOOOO
*NSET,NSET=Al,GEN
233,1033,50
1033,1049,l
*NSET,NSET= A2,GEN
4000233,4001033,50
4001 033,4001 049,l
*NFILL,NSET= A
Al,A2,4,1000000
*NSET,NSET=Bl,GEN
233,12233,3000
l2233,172233,2ooOO
172233,332233,2oooO
332233,732233,2oooO
1049,13049,300O
13049,173049,20OOO
173049,333049,2oooO
333049,733049,20000
*NSET,NSET=BZ,GEN
4000233,4012233,3000
4012233,4172233,2oooO
4172233,4332233,20000
4332233,4732233,20000
4001049,4013049,3000
401 3049,4173049,2oooO
4 173049,4333049 ,Zoo00 4333049,4733049,20000
*NFILL,NSET=B
B1 ,B2,4,100OOOO
*ELEMENT,TYPE=C3D20R
47 --
1033,1033,7033,6933,933,200 1 033,2OO7033,2OO6933,2OOO933,4033,
6983,3933,983,2oO4033,2006983,2OO3933,2OOO983,1001033,1OO7033,
1006933,1000933
1049,1049,7049,7047,1047,2OO1049,2OO7049,2007047,2OO1047,4049,
7048,4047,1048,2OO4049,2OO7048,2OO4047,2OO 1 048,100 1049,1OO7049,
lOO7047,1oO1047
13033,13033,53033,52933, 12933,2013033,2053033,2052933,2012933,
33033,52983,32933, 12983,2033033,2052983,2032933,2012983,1013033,
1053033,1052933,lO 12933
13049,13049,53049,53047,13047,20 13049,2053049,2053047,201 3047,
33049,53048,33047,13048,2033049,2053048,2033047,2013048,1013049,
1053049,1053047,1013047
173033,173033,2 13033,2 12933,172933,Z 173033,221 3033,22 12933,Z 172933,
193033,212983,192933,172983,2193033,2212983,2192933,21729~,1173033,
1213033,121 2933,1172933
173049,173049,2 13049,2 13047,173047,2173049,22 13049,2213047,2 173047,
193049,213048,193047,173048,2193049,2213048,2193047,2173048,1173049,
1213049,1213047,1173047
333033,333033,373033,372933,332933,2333033,2373033,2372933,2332933,
353033,372983,352933,332983,2353033,2372983?2352933,2332983,
1333033,1373033,1372933,1332933
333049,333049,373049,373047,333047,2333049,2373049,2373047,2333047,
353049,373048,353047,333048,2353049,2373048,2353047,2333048,
1333049,1373049,1373047,1333047
*ELGEN,ELSET=TIPMI
1033,2,2oooO00,1~,8,- 100, - lOO,2,6000,4500
*ELGEN,ELSET=LOWRIGHT
1049,2,2000000,1000000,8,-2,-2,2,6000,4500
*ELGEN,ELSET = CONNECT
13033,2,2000000,1oooO00,8,-100,-1,4,400OO,4oOOO
- 4 8 -
13049,2,2000000,1000000,8,-2,-2,4,40000,40000
*ELGEN,ELSET= STIFF
173033,2,2OOoooO, 1OOOOOO,8,- 100, - 1,4,40000,4oooO
173049,2,2000000,10oooO0,8,-2,-2,4,40000,40000 333033,2,2000000,1000000,8,-100,-1,10,40000,40000
333049,2,2OOoooO, loOOOOO,8, -2,- 2,10,40000,4OOOO
*ELGEN ,ELSET =ALLIN
1033,8,-1oO, -1OO,2,6OOO,45OO
1049,8, -2, -2,2,6OOO,45OO
13033,8,-100,-1,4,4oooO,4oooO 13049,8,-2, -2,4,4oooO,4oooO
173033,8,-100,-1,4,4OOOO,40000 173049,8,-2,-2,4,40OOO,40000
333033,8,- 100,-1,10,4OOO0,40000
333049,8,-2, -2,10,4~,40OOO
*ELSET,ELSET= ALL
TIPM1,LO WRIGHT,CONNECT,STIFF
*ELSET,ELSET= AA,GEN
693026,693033,l
693035,693049,Z
1693026,1693033,l
1693035,1693049,2
*NMAP,NSET= ALL,TY PE=CY LINDRICAL
O,O,O,O,O,-15
0,15,-10
1,l. 15139844,l . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . * ** * ** ** * * * * * **For Applying Moment** * *** * ** ** * . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *NSET,NSET=PIlZ-O,GEN
49
4732233,4733033,50
4733033,4733049,l
*NODE
9999999,0,0,550
*NFILL,NSET=DISP4
PIlZ,PI12-0,4,1000000
*MPC
BEAM,DISP4,9999999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *SOLID SECTION,ELSET= ALL,MATERIAL= TP316
*MATERIAL,NAME=TP316
*DEFORMATION PLASTICITY
19oooO,0.3,165,3,1 *BOUNDARY
A3 B,1 4001049,Z
* STEP,INC=99999
*STATIC ,DIRECT
0.03,l
*CLOAD
9999999,4,-10000000
*EL PRINT,POSITION=CENTROIDAL,FREQ=O s ,E
*EL FILE ,POS ITION = CENTROIDAL, FREQ = 0
S,E,SINV,PE
*NODE PRINT,NSET=DISP4,FREQ= 1
U *NODE FILE,NSET=DISP4,FREQ=l
U
- 50 -
*END STEP
*HEADING
CANDU Pressure Tube Creep Deflection Analysis (Validation)
Actual pressure tube
Tube length (2L) : 6 4 O O m m
Loading condition : Pure bending (M/ML=O.l)
Creep law : Norton creep law
Unit : N, 111111, MPa
*RESTART,WRITE,FREQ=99999 *PREPRINT,MODEL=NO,HISTORY =NO,ECHO=NO
*NODE
Ro=56.2mm, Ri=52mm, Rm=54.lmm, t=4.2mm
233,52,0,0
1033,52,81.681409,0
1049,52,163.362818,0
12233,52,0,500
13033,52,81.681409,5OO
13049,52,163.362818,5OO
172233,52,0,1000
173033,52,8 1.68 1409,1000
173049,52,163.362818,1000
332233,52,0,2000
333033,52,81.681409,2OOO
333049,52,163.3628 18,2000
732233,52,0,3200
733033,52,81.681409,3200
733049,52,163.3628 18,3200
*NGEN,NSET=ARCBOUND
233,1033,50
52 -
*NGEN,NSET=LINE1033
1033,1049,l
*NSET,NSET=VERTICLl
ARCB OUND ,LINE 1033
*NGEN,NSET=VERTICLZ
12233,13033,50
13033,13049,l
*NFILL,NSET=MIDDLE
VERTICL 1 ,VERTICL2,4,30OO
*NGEN,NSET=RGHTEDGE
172233,173033,50
173033,173049,l
*NFILL,NSET=RIGHT
VERTICLZ,RGHTEDGE,8,20000
*NGEN,NSET=LLl
332233,333033,50
333033,333049,l
*NFILL,NSET=RIG
RGHTEDGE,LL1,8,2oooO
*NGEN,NSET=PIlZ
732233,733033,50
733033,733049,l
* NFILL ,NSET = PI
LLl ,P112,20,20000
*NSET,NSET=ALLIN
MIDDLE,RIGHT,RIG,PI
*NCOPY, CHANGE NUMBER=4000000, OLD SET=ALLIN,
REFLECT=MIRROR, NEW SET=ALLOUT
54.1,-5,-5,54.1,-2,-5
54.1,-5,-2
- 53 -
*NFILL,NSET= ALL
ALLIN,ALLOUT,4,1000000
*NSET,NSET=Al,GEN
233,1033,50
1 033,1049,l
*NSET,NSET=A2,GEN
4000233,400 1033,50
400 1033,400 1049,l
*NFILL,NSET= A
A1 ,A2,4,1ooOOOO
*NSET,NSET=Bl,GEN
233,12233,3000
12233,172233,2oooO
172233,332233,20000
332233,732233,2oooO
1049,13049,300O
13049,173049,2oooO
173049,333049,20000
333049,733049,20000
*NSET,NSET=B2,GEN
4000233,4012233,3000
4012233,4172233,20000
4172233,4332233,20000
4332233,4732233,20000
4001049,4013049,3000
401 3049,4173049,2OOO0
41 73049)4333O49,2ooOO
4333049,4733049,2oooO
*NFILL,NSET=B
B1 , B 2 , 4 , 1 m O
- 5 4 -
*ELEMENT,TYPE=C3D20R
1033,1033,7033,6933,933,2001033,2007033,2006933,2000933,4033,
6983,3933,983,2OO4033,2006983,2OO3933,2OOO983,1OO1033,1OO7033,
1006933,1OOO933
1049,1049,7049,7047,1047,2OO1049,2OO7049,2007047,2OO1047,4049,
7048,4047,1048,2OO4049,2OO7048,2OO4047,2001048,1OO1049,1OO7049,
lOO7047,1OO1047
1 3033,13033,53033,52933,12933,201 3033,2053033,2052933,20 1 2933,
33033,52983,32933,12983,2033033,2052983,2032933,2012983,1013033,
1053033,1052933,1012933
13049,13049,53049,53047,13047,2013049,2053049,2053047,20 13047,
33049,53048,33047,13048,2033049,2053048,2033047,2013048,1013049,
1053049,1053047,101 3047
173033,173033,213033,212933,172933,2173033,2213033,2212933,2172933,
193033,212983,192933,172983,2193033,2212983,2192933,2172983,1173033,
1213033,1212933,1172933
173049,173049,Z 13049,213047,173047,2 173049,22 13049,ZZ 13047,Z 173047,
193049,213048,193047,173048,2193049,22 13048,2193047,2 173048,1173049,
12 13049,lZ 13047,1173047
333033,333033,373033,372933,332933,2333033,2373033,2372933,2332933,
353033,372983,352933,3329~,2353033,23729~,2352933,2332983,
1333033,1373033,1372933,1332933
333049,333049,373049,373047,333047,2333049,2373049,2373047,2333047,
353049,373048,353047,333048,2353049,2373048,2353047,2333048,
1333049,1373049,1373047,1333047
*ELGEN,ELSET=TIPMI
1033,2,20ooOOO, 1000OOO,8, - 100,- lOO,2,60Oo,4500
*ELGEN,ELSET=LOWRIGHT
1049,2,20ooOOO, 1OOOOOO,8,-2, -2,2,6OOO,4500
*ELGEN ,ELSET = CONNECT
- 55 -
13033,2,200oooO, lOOOOOO,8,- 100, - 1,4,40000,4ooOO 13049,2,2oooOOO, 10OOO00,8, -2,-2,4,4oooO,4OOOO *ELGEN,ELSET=STIF'F 173033,2,2ooOOOO, lOOOOOO,8,- 100, - 1,4,40000,4oooO 173049,2,2OOOOOO, 1OOOOOO,8, - 2, -2,4,4OOO0,4ooOO 333033,2,2oOOoOO,looOOOO,8,- 100,- 1,10,40000,40000
333049,2,2OOO000,1~0,8, -2, -2,10,4OOO0,4oooO *ELGEN,ELSET=ALLIN 10333- 100,- 1OO,2,6OOO,45OO
1049,8, - 2, -2,2,6OOO,45OO 13033,8,-100,-1,4,40000,4oooO
13049,8,-2,-2,4,4OOO0,40000 173033,8,- lOO,-1,4,4ooOO,4oooO 173049,8, -2, -2,4,4oooO,4OOOO 333033,8,-1OO,-1,10,4oooO,4OOO0
3330493-2, -2,10,4oooO,40OOO *ELSET,ELSET= ALL TIPMI,LOWRIGHT,CONNECT,STIFF *ELSET,ELSET=AA,GEN 693026,693033,l 693035,693049,Z 1693026,1693033,l 1693035,1693049,Z *NMAP,NSET= ALL,TYPE=CYLINDRICAL
O,O,O,O,O, - 15 0,15,-10 1,l. 101841914,l
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
- 56 -
*NSET,NSET=PIl2_0,GEN
4732233,4733033,50
4733033,4733049,l
*NODE
9999999,0,0,3200
*NFILL,NSET=DISP4
PI12,PI12-0,4,1OOOOOO
*MPC
BEAM,DISP4,9999999 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *SOLID SECTION,ELSET=ALL,MATERIAL=CANDU *MATERIAL,NAME=CANDU *** ** **** * * * *** * * * *** * *TP316 high temperature** * *** *** * * * * *** * * *ELASTIC
91700,0.4 ***************CREEP LAW********************************+*
* CREEP,LAW = STRAIN
1E-16,5 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . *BOUNDARY
A73
4001049,Z
* STEP,INC =99999
*STATIC
1 7 1 *CLOAD
9999999,4,- 1425941 332
*EL PRINT,POSITION=CENTROIDAL,FREQ=O e
- 57 -
*EL FILE,POSITION=CENTROIDAL,FREQ=O s,e,sinv,pe
*NODE PRINT,NSET=DISP4,FREQ= 1
U
*NODE FILE,NSET=DISP4,FREQ= 1
U
*END STEP . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . * STEP,INC =99999
* VISCO,CETOL=IE-4
0.0001,5oooO
*RESTART,WRITE,FREQ=99999 *EL PRINT,POSITION=CENTROIDAL,FREQ=O e
*EL FILE,POSITION=CENTROIDAL,FREQ=O s,e,sinv,pe
*NODE PRINT,NSET=DISP4,FREQ= 1
U
*NODE FILE,NSET=DISP4,FREQ=l
U
*END STEP
- 58
KAERI/CM-549/200 1
BIBLIOGRAPHIC INFORMATION SHEET
Performing Org. Report No.
Sponsoring Org. Report No.
Standard Report No. INIS Subject Code
I I KAERI/CM-549/2001 I
Publication Place
Seoul
Page 58 p.
I I I T i t l e / Subtitle
Development of Aging Assessment Technology for CANDTJ Pressure Tubes
KAERI
Ill. & Tab. Yes(()), No ( ) Size 21 X 29.7 Cm.
Publisher
~~~
Project Manager and DeDartment
Performing Organization
Sungkyunkwan University
~~
Young-Jin Kim (Sungkyunkwan University, School of Mechanical Engineering)
Contract No.
Researcher and Yun-Jae Kim, Nam-Su Huh, Sang-Log Kwak and Kyu-Ho Lee
(Sunglqunkwan University, School of Mechanical Engineering)
Note I Open( ), Restricted(O),
Classified l - Class Document Report Type
,bstract (15-20 Lines)
This research project attempts to resolve two issues related to integrity assessment of CANDU pressure tubes: (1) FE nalysis of blister formation and growth, and (2) engineering estimation scheme to predict creep deflection of pressure 1beS.
Results for blister formation and growth can be summarised as follows. Comparing the results from the FE analysis eveloped within this project, with experimental data shows some differences ranging from 10-57%. Such differencr :suits from two possible sources. One source is neglecting two phase diffusion. The present FE analysis considen nly single phase diffusion, and thus blister grwoth can not be accurately modeled. The other source would b herent errors associated with experimental measurement. Thus it has been concluded that further efforts should b lade on two phase diffusion modeling. For developing mechanistic model of creep deflection, the proposed reference stress based model is simple to use xtensive validation against creep FE results shows that the proposed model is also quite accurate. More importan jpect of the proposed method is that it can be easily generalized to more complex problems. Thus it is believed thai
Le present results provide a sound basis for sagging assessment of CANDU pressure tubes.
_ _ _ _ _ ~ ~
Subject Keywords (About 10 words)
CANDU Pressure Tube, CalandIia Tube, Blister, Hydrogen Diffusion,
Plastic and Creep Deflection, Reference Stress
