The finite element alternating method (FEAM), in conjunction with the finite element analysis (FEA) and the analytical solution for an elliptical crack in an infinite solid subject to arbitrary crack-face traction, is used for evaluating the stress intensity factor (SIF) of surface cracks in a cylinder. The major advantage of this method is that the SIF can be calculated by using the FEA results for an uncracked body. A newly developed system allows the FEAM to be performed by a simple method, which consists of the conventional FEA for an uncracked body and a subroutine for the FEAM alternating procedure. It is shown that the system can derive the precise SIF of circumferential, longitudinal, and inclined surface cracks in a cylinder. The crack growth predictions are performed for an inclined crack and projected longitudinal and circumferential crack in a cylinder. The results suggests that the crack characterizing procedure prescribed in Sec. XI may cause an unconservative evaluation in the crack growth prediction, and that the FEAM is valid for complex problems, to which the SIF evaluation by the FEA cannot be adopted easily.

1.
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
.
2.
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
.
3.
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
.
4.
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
.
5.
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
.
6.
Nishioka
,
T.
,
Akashi
,
T.
, and
Tokunaga
,
T.
, 1994, “
On the General Solution for Mixed-Mode Elliptical Cracks and Their Applications
,”
Tran. JSME
,
60
, pp.
364
371
.
7.
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
.
8.
Raju
,
I. S.
,
Atluri
,
S. N.
, and
Newman
, Jr.
J. C.
, 1989, “
Stress-Intensity Factors for Small Surface and Corner Cracks in Plates
,” ASTM STP 1020, Philadelphia, USA, pp.
297
316
.
9.
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
.
10.
ABAQUS Inc., 2002, “
ABAQUS/Standard User’s Manual Ver. 6.3
,” ABAQUS Inc., USA.
11.
Kamaya
,
M.
, and
Nishioka
,
T.
, 2004, “
Evaluation of Stress Intensity Factors by Finite Element Alternating Method
,” PVP-
481
, pp.
113
120
.
12.
Bergman
,
M.
, 1995, “
Stress Intensity Factors for Circumferential Surface Cracks in Pipes
,”
Fatigue Fract. Eng. Mater. Struct.
8756-758X,
18
, pp.
1155
1172
.
13.
Raju
,
I. S.
, and
Newman
, Jr.,
J. C.
, 1982, “
Stress Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessesls
,”
ASME J. Pressure Vessel Technol.
0094-9930,
104
, pp.
293
298
.
14.
ASME, 2001, “
ASME Boiler and Pressure Vessel Code Section XI
,” New York, USA, Fig. FC-2400-3.
15.
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
.
You do not currently have access to this content.