In the in-core monitor (ICM) housing of a reactor pressure vessel (RPV), residual stress has been widely reported to cause stress corrosion cracking (SCC) damage in the weld heat-affected zone. For this reason, it is important to evaluate the crack growth conservatively, and with high confidence to demonstrate fitness for service. This paper presents crack growth simulations in an ICM housing, which is welded at two different angles to the RPV. One weld angle is at the bottom of the RPV, and the welding area of the ICM housing is axisymmetric. The other angle is at the curved position of the RPV, and the weld area of the ICM housing is asymmetric. In these weld areas, crack growth behavior is estimated by superposed-finite element method (S-FEM), which allows generation of a global finite model and a detailed local mesh representing the crack independently. In the axisymmetric weld area, axial, slant and circumferential surface cracks are assumed at two locations where the residual stress fields are different from each other: one is isotropic and the other is circumferential. It is shown that crack growth behaviors are different under different residual stress fields. The results of S-FEM are compared with those of the influence function method (IFM), which assumes that an elliptical crack shape exists in a plate. It is shown that the IFM result is conservative compared to that of S-FEM. Next, an axial surface crack is assumed at the uphill, downhill, and midhill asymmetric weld areas. The midhill crack growth behavior is different from the uphill and downhill behaviors. Finally, two surface cracks are simulated in the asymmetric weld area and two initial crack arrangements are assumed. These results show the differences of the crack interaction and the crack growth process.

References

References
1.
Nuclear and Industrial Safety Agency
,
2004
, Minister of Economy, Trade and Industry, Subcommittee on Stress Test for Atomic Power Plant (No. 10): Documents Distributed 10-3 Stress Test on Core Shroud and Primary Loop Recirculation System (in Japanese).
2.
JSME S NA1-2008,
2008
, “
Codes for Nuclear Power Generation Facilities: Rule of Fitness-for-Service for Nuclear Power Plants
,” Tokyo, Japan.
3.
The Japan Society of Mechanical Engineers,
2004
, “
Rules on Fitness-for-Service for Nuclear Power Plants
,” Report No. JSME S NA1-2004.
5.
Shiratori
,
M.
,
Miyoshi
,
T.
, and
Tanikawa
,
K.
,
1985
, “
Analysis of Stress Intensity Factors for Surface Cracks Subjected to Arbitrarily Distributed Surface Stresses
,”
Trans. JSME, Ser. A
,
51
(
467
), pp.
1828
1833
(in Japanese).10.1299/kikaia.51.1828
6.
Buckner
,
H. F.
,
1958
, “
The Propagation of Cracks and the Energy of Elastic Deformation
,”
Trans. ASME
,
80E
, pp.
1225
1230
.
7.
Matsushita
,
H.
,
Omata
,
S.
,
Matsuda
,
H.
, and
Shiratori
,
M.
,
2004
, “
Fatigue Surface Crack Analysis Software SCANP
,”
Nippon Kaiji Kyoukai
,
266
, pp.
18
35
(in Japanese).
8.
Iwamatsu
,
F.
,
Miyazaki
,
K.
, and
Shiratori
,
M.
,
2009
, “
Development of Evaluation Method of Stress Intensity Factor and Fatigue Crack Growth Behavior of Surface Crack Under Arbitrarily Stress Distribution by Using Influence Function Method
,”
Trans. JSME, Ser. A
,
77
(
782
), pp.
1613
1624
(in Japanese).10.1299/kikaia.77.1613
9.
Belytchko
,
T.
,
Lu
,
Y. Y.
, and
Gu
,
L.
,
1995
, “
Element-Free Galerkin Method
,”
Int. J. Numer. Methods Eng.
,
37
(2), pp.
229
256
.10.1002/nme.1620370205
10.
Belytchko
,
T.
,
Lu
,
Y. Y.
, and
Gu
,
L.
,
1955
, “
Crack Propagation by Element-Free Galerkin Methods
,”
Eng. Fract. Mech.
,
51
(2), pp.
295
315
.10.1016/0013-7944(94)00153-9
11.
Belytschko
,
T.
, and
Black
,
T.
,
1999
, “
Elastic Crack Growth in Finite Elements With Minimal Remeshing
,”
Int. J. Numer. Methods Eng.
,
45
(5), pp.
602
620
.10.1002/(SICI)1097-0207(19990620)45:5<601::AID-NME598>3.0.CO;2-S
12.
Sakumasu
,
K.
, and
Nagashima
,
T.
,
2007
, “
Three-Dimensional Crack Propagation Analysis Using X-FEM
,”
JSME Annual Meeting
, pp.
21
22
.
13.
Fish
,
J.
,
Markolefas
,
S.
,
Guttal
,
R.
, and
Nayak
,
P.
,
1994
, “
On Adaptive Multilevel Superposition of Finite Element Meshes for Linear Elastostatics
,”
Appl. Numer. Math.
,
14
(1–3), pp.
135
164
.10.1016/0168-9274(94)90023-X
14.
dell'Erba
,
D. N.
, and
Aliabadi
,
M. H.
,
2000
, “
Three-Dimensional Thermo-Mechanical Fatigue Crack Growth Using BEM
,”
Int. J. Fatigue
,
22
(4), pp.
261
273
.10.1016/S0142-1123(00)00011-6
15.
Kikuchi
,
M.
,
Wada
,
Y.
,
Shimizu
,
Y.
, and
Li
,
Y.
,
2011
, “
Crack Growth Analysis in a Weld-Heat-Affected Zone Using S-Version FEM
,”
Int. J. Press. Vessels Pip.
,
90–91
, pp.
2
8
.10.1016/j.ijpvp.2011.10.001
16.
Kikuchi
,
M.
,
Mattireymu
,
M.
, and
Sano
,
H.
,
2010
, “
Fatigue Crack Growth Simulation Using S-Version FEM: 3rd Report, Fatigue of 3D. Surface Crack
,”
Trans. JSME, Ser. A
,
75
(
755
), pp.
918
924
(in Japanese).
17.
Kikuchi
,
M.
,
Wada
,
Y.
,
Suyama
,
H.
, and
Shimizu
,
Y.
,
2009
, “
Crack Growth Analysis in Weld Heat Affected Zone Using S-Version FEM
,”
Trans. JSME, Ser. A
,
75
(
758
), pp.
1381
1386
(in Japanese).
18.
Okada
,
H.
,
Higashi
,
M.
,
Kikuchi
,
M.
,
Fukui
,
Y.
, and
Kumazawa
,
N.
,
2005
, “
Three-Dimensional Virtual Crack Closure-Integral Method (VCCM) With Skewed and Non-Symmetric Mesh Arrangement at the Crack Front
,”
Eng. Fract. Mech.
,
72
(11), pp.
1717
1737
.10.1016/j.engfracmech.2004.12.005
19.
Erdogan
,
F.
, and
Shi
,
G. C.
,
1963
, “
On the Crack Extension in Plates Under Plane Loading and Transverse Shear
,”
ASME J. Basic Eng.
,
85
(4), pp.
519
525
.10.1115/1.3656897
20.
Sih
,
G. C.
,
1990
,
Mechanics of Fracture Initiation and Propagation
,
Kluwer Academic
,
Boston
.
21.
Pook
,
L. P.
,
2000
,
Linear Elastic Fracture Mechanics for Engineers: Theory and Application
,
WIT Press
.
22.
Schöllmann
,
M.
,
Kullmer
,
G.
,
Fulland
,
M.
, and
Richard
,
H. A.
,
2001
, “
A New Criterion for 3D Crack Growth Under Mixed-Mode (I+II+III) Loading
,”
Proceedings of the 6th International Conference on Biaxial/Multiaxial Fatigue and Fracture
, Lisbon, Portugal, June 25–28, Vol.
2
, pp.
589
596
.
23.
Richard
,
H. A.
,
Fulland
,
M.
, and
Sander
,
M.
,
2005
, “
Theoretical Crack Path Prediction
,”
Fatigue Fract. Eng. Mater. Struct.
,
28
(1–2), pp.
3
12
.10.1111/j.1460-2695.2004.00855.x
24.
Mochizuki
,
M.
,
Enomoto
,
K.
,
Okamoto
,
N.
,
Saito
,
H.
, and
Hayashi
,
E.
,
1994
, “
Study on Production Mechanism of Welding Residual Stress at the Juncture of a Pipe Penetrating a Thick Plate
,”
Q. J. Jpn. Weld. Soc.
,
12
(
4
), pp.
561
567
(in Japanese).10.2207/qjjws.12.561
25.
Miyazaki
,
K.
,
Kanno
,
S.
,
Mochizuki
,
M.
,
Hayashi
,
M.
,
Shiratori
,
M.
, and
Yu
,
Q.
,
1999
, “
Analysis of Stress Intensity Factor Due to Surface Crack Propagation by Using Influence Function Method and Inherent Strain Analysis in Residual Stress Fields Caused by Welding
,”
Trans. JSME, Ser. A
,
65
(
636
), pp.
1709
1715
(in Japanese).10.1299/kikaia.65.1709
26.
Shiratori
,
M.
,
Miyoshi
,
T.
, and
Skai
,
T.
,
2010
, “
Analysis of Stress Intensity Factors for Surface Cracks Subjected to Arbitrarily Distributed Surface Stresses (4th Report, Application of Influence Coefficients for the Cracks Originating at the Notches and Welding Joints)
,”
Trans. JSME, Ser. A
,
53
(
755
), pp.
918
924
(in Japanese).
27.
Kikuchi
,
M.
,
Wada
,
Y.
,
Utsunomiya
,
A.
, and
Suyama
,
H.
,
2009
, “
Study on Fatigue Crack Growth Criterion: 1st Report, Paris' Law of a Surface Crack Under Pure Mode I Loading
,”
Trans. JSME, Ser. A
,
76
(
764
), pp.
516
522
(in Japanese).
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