The interaction between multiple surface cracks is an important consideration in the cracking behavior due to thermal fatigue and stress corrosion cracking. However, it is difficult to evaluate the intensity of the interaction quantitatively because there are many factors, such as the relative position, size, and geometry of the cracks. Furthermore, the influence of the interaction differs with the crack tip position along the front. In this study, to investigate the intensity of interaction, the stress intensity factor (SIF) of interacting semielliptical surface cracks was evaluated by the finite element method and finite element alternating method. These methods enable us to evaluate the SIF of interacting cracks for various conditions. The analysis results reveal that the change in the averaged SIF along the crack front caused by coalescence of two cracks can be estimated from the change in the area size. The maximum interaction can be estimated by a simple addition of the area size of two cracks regardless of the loading condition and relative crack size. To exclude the conservativeness caused by the current combination rule, new criteria are shown.

1.
Yoshimura
,
S.
,
Lee
,
J.
,
Yagawa
,
G.
,
Sugioka
,
K.
, and
Kawai
,
T.
, 1995, “
New Probabilistic Fracture Mechanics Approach With Neural Network-Based Crack Modeling: Its Application to Multiple Cracks Problem
,” ASME Pressure Vessel and Piping Conference, PVP-304, pp.
437
442
.
2.
Kishimoto
,
K.
,
Soboyejo
,
W. O.
,
Smith
,
R. A.
, and
Knott
,
J. F.
, 1989, “
A Numerical Investigation of the Interaction and Coalescence of Twin Coplanar Semi-Elliptical Fatigue Cracks
,”
Int. J. Fatigue
0142-1123,
11
, pp.
91
96
.
3.
Moussa
,
W. A.
,
Bell
,
R.
, and
Tan
,
C. L.
, 2002, “
Investigating the Effect of Crack Shape on the Interaction Behavior of Noncoplanar Surface Cracks Using Finite Element Analysis
,”
ASME J. Pressure Vessel Technol.
0094-9930,
124
, pp.
234
238
.
4.
Kamaya
,
M.
, 2002, “
Evaluation of Coalescence Criteria for Parallel Cracks
,” ASME Pressure Vessel and Piping Conference, PVP-438, pp.
181
186
.
5.
Murakami
,
Y.
, and
Nemat-Nsasser
,
S.
, 1982, “
Interacting Dissimilar Semi-Elliptical Surface Flaws Under Tension and Bending
,”
Eng. Fract. Mech.
0013-7944,
16
, pp.
373
386
.
6.
Noda
,
N. A.
,
Kobayashi
,
K.
, and
Oohashi
,
T.
, 2001, “
Variation of the Stress Intensity Factor Along the Crack Front of Interacting Semi-Elliptical Surface Cracks
,”
Arch. Appl. Mech.
0939-1533,
71
, pp.
43
52
.
7.
Okamura
,
Y.
,
Sakashita
,
A.
,
Fukuda
,
T.
,
Yamashita
,
H.
, and
Futami
,
T.
, 2003, “
Latest SCC Issues of Core Shroud and Recirculation Piping in Japanese BWRs
,”
Transactions of 17th International Conference on Structural Mechanics in Reactor Technology (SMiRT 17)
,
Prague
, Paper No. WG01-1.
8.
ASME
, 2004, “
ASME Boiler and Pressure Vessel Code Section XI
,” New York, USA.
9.
JSME
, 2002, “
Codes for Nuclear Power Generation Facilities: Rules of Fitness-for-Service for Nuclear Power Plants
,” Tokyo, Japan.
10.
Hasegawa
,
K.
,
Shiratori
,
M.
,
Miyoshi
,
T.
, and
Seki
,
N.
, 2002, “
Comparison of Stress Intensity Factors of Two Flaws and a Combined Flaw due to Combination Rules
,” ASME Pressure Vessel and Piping Conference, PVP-439, pp.
307
312
.
11.
Nishioka
,
T.
, and
Atluri
,
S. N.
, 1983, “
An Analytical Solution for Embedded Elliptical Cracks, and Finite Element Alternating Method for Elliptical Surface Cracks, Subjected to Arbitrary Loadings
,”
Eng. Fract. Mech.
0013-7944,
17
, pp.
247
268
.
12.
Nishioka
,
T.
, and
Atluri
,
S. N.
, 1982, “
Analysis of Surface Flaw in Pressure Vessels by a New 3-Dimensional Alternating Method
,”
ASME J. Pressure Vessel Technol.
0094-9930,
104
, pp.
299
307
.
13.
O’Donoghue
,
P. E.
,
Nishioka
,
T.
, and
Atluri
,
S. N.
, 1984, “
Multiple Surface Cracks in Pressure Vessels
,”
Eng. Fract. Mech.
0013-7944,
20
, pp.
545
560
.
14.
Nishioka
,
T.
,
Tokunaga
,
T.
, and
Akashi
,
T.
, 1994, “
Alternating Method for Interaction Analysis of a Group of Micro-Elliptical Cracks
,”
J. Soc. Mater. Sci. Jpn.
0514-5163,
43
, pp.
1271
1277
.
15.
Nishioka
,
T.
,
Akashi
,
T.
, and
Tokunaga
,
T.
, 1994, “
On the General Solution for Mixed-Mode Elliptical Cracks and Their Applications
,”
JSME Int. J., Ser. A
1340-8046,
60
, pp.
364
371
.
16.
Nishioka
,
T.
, and
Kato
,
T.
, 1999, “
An Alternating Method Based on the VNA Solution for Analysis of Damaged Solid Containing Arbitrarily Distributed Elliptical Microcracks
,”
Int. J. Fract.
0376-9429,
97
, pp.
137
170
.
17.
Raju
,
I. S.
,
Atluri
,
S. N.
, and
Newman
,
J. C.
, Jr.
, 1989, “
Stress-Intensity Factors for Small Surface and Corner Cracks in Plates
,” Report No. ASTM STP 1020, pp.
297
316
.
18.
Krishnamurthy
,
T.
, and
Raju
,
I. S.
, 1990, “
A Finite-Element Alternating Method for Two-Dimensional Mixed-Mode Crack Configurations
,”
Eng. Fract. Mech.
0013-7944,
36
, pp.
297
311
.
19.
Stonesifer
,
R. B.
,
Brust
,
F. W.
, and
Leis
,
B. N.
, 1993, “
Mixed-mode Stress Intensity Factors for Interacting Semi-Elliptical Surface Cracks in a Plate
,”
Eng. Fract. Mech.
0013-7944,
45
, pp.
357
380
.
20.
Kamaya
,
M.
, and
Nishioka
,
T.
, 2004, “
Evaluation of Stress Intensity Factors by Finite Element Alternating Method
,” ASME Pressure Vessel and Piping Conference, PVP-481, pp.
113
120
.
21.
Kamaya
,
M.
, and
Nishioka
,
T.
, 2005, “
Analysis of Surface Crack in Cylinder by Finite Element Alternating Method
,”
ASME J. Pressure Vessel Technol.
0094-9930,
127
, pp.
165
172
.
22.
Vijayakumar
,
K.
, and
Atluri
,
S. N.
, 1981, “
An Embedded Elliptical Crack, in an Infinite Solid, Subject to Arbitrary Crack-Face Tractions
,”
ASME J. Appl. Mech.
0021-8936,
48
, pp.
88
96
.
23.
ABAQUS Inc., 2002, “
ABAQUS/Standard User’s Manual Ver. 6.3
,” ABAQUS Inc., USA.
24.
Kamaya
,
M.
, and
Totsuka
,
N.
, 2002, “
Influence of Interaction Between Multiple Cracks on Stress Corrosion Crack Propagation
,”
Corros. Sci.
0010-938X,
44
, pp.
2333
2352
.
25.
Kamaya
,
M.
, 2003, “
A Crack Growth Evaluation Method for Multiple Interacting Cracks
,”
JSME Int. J., Ser. A
1340-8046,
46
, pp.
15
23
.
26.
Kamaya
,
M.
, 2004, “
Stress Intensity Factors of Surface Crack With Undulated Front
,”
JSME Mechanical Engineering Congress
, JSME,
Tokyo
, Vol.
1
, pp.
83
84
.
27.
American Petroleum Institute
, 2000, “
Fitness-for-Service API 579
,” Washington, D.C., USA.
28.
British Standards Institution
, 2005, “
Guide to Methods for Assessing the Acceptability of Flaws in Metallic Structures BS 7910
,” London, UK.
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