In this paper, the surface crack problem in a cylinder subjected to internal pressure is solved. The analysis is based on the body force method, but it is different from the conventional body force method in the following point. That is, the body forces to be distributed continuously on the assumed boundaries in an infinite body are approximated by some discrete point forces acting on the outside of the assumed boundaries. By using this method combined with the resultant force boundary conditions, solutions with high accuracy are obtained.

1.
Atluri, S. N., and Kathiresan, K., 1977, “Outer and Inner Surface Flaws in Thick-Walled Pressure Vessels,” Transactions of the Fourth Internal Conference on Structural Mechanics in Reactor Technology, San Francisco, CA.
2.
Atluri
S. N.
, and
Kathiresan
K.
,
1979
, “
3-D Analysis of Surface Flaws in Thick-Walled Reactor Pressure Vessels Using Displacement-Hybrid Finite Element Method
,”
Nuclear Engineering and Design
, Vol.
51
, pp.
163
176
.
3.
Heliot, J., Labbens, R. C., and Pellissier-Tanon, A., 1979, “Semi-Elliptical Cracks on the Meridional Plane of a Cylinder Subjected to Stress Gradients,” Fracture Mechanics, ASTM STP 677, American Society for Testing and Materials, pp. 341–364.
4.
Isida
M.
,
1973
, “
Effect of Width and Length on Stress Intensity Factors of Internally Cracked Plates under Various Boundary Conditions
,”
International Journal of Fracture Mechanics
, Vol.
7
, No.
3
, pp.
301
316
.
5.
Isida
M.
,
Noguchi
H.
, and
Yoshida
T.
,
1984
, “
Tension and Bending of Finite Thickness Plates With a Semi-Elliptical Surface Crack
,”
International Journal of Fracture
, Vol.
26
, No.
3
, pp.
157
188
.
6.
Kobayashi, A. S., 1974, “A Simple Procedure for Estimating Stress Intensity Factors in Regions of High Stress Gradient,” Significance of Defects in Welded Structure, eds., T. Kanazawa and A. S. Kobayashi, University of Tokyo Press, Tokyo, Japan, pp. 127–143.
7.
Kobayashi
A. S.
,
Emery
A. F.
,
Polvanich
N.
, and
Love
W. J.
,
1977
, “
Inner and Outer Surface Cracks in Internally Pressurized Cylinders
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
99
, Feb., pp.
83
89
.
8.
McGowan, J. J., and Raymund, M., 1979, “Stress Intensity Factor Solutions for Internal Longitudinal Semi-Elliptical Surface Flaws in a Cylinder Under Arbitrary Loadings,” Fracture Mechanics, ASTM STP 677, American Society for Testing and Materials, pp. 365–380.
9.
Newman
J. C.
, and
Raju
I. S.
,
1980
, “
Stress-Intensity Factors for Internal Surface Cracks in Cylindrical Pressure Vessels
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
102
, Nov., pp.
342
346
.
10.
Nisitani
H.
,
1968
, “
The Two-Dimensional Stress Problem Solved Using an Electric Digital Computer
,”
Bulletin of JSME
, Vol.
11
, No.
43
, pp.
14
23
.
11.
Nisitani, H., 1978, “Solution of Notch Problems by Body Force Method,” Mechanics of Fracture, Vol. 5, Noordhoff International Publishing, pp. 1–68.
12.
Raju
I. S.
, and
Newman
J. C.
,
1982
, “
Stress-Intensity Factors for Internal and External Surface Cracks in Cylindrical Vessels
,”
ASME JOURNAL OF PRESSURE VESSEL TECHNOLOGY
, Vol.
104
, Nov., pp.
293
298
.
13.
Underwood, J. H., 1972, “Stress Intensity Factors for Internally Pressurized Thick-Wall Cylinders,” Stress Analysis and Crack Growth, ASTM STP 513, American Society for Testing and Materials, 1972, pp. 59–70.
This content is only available via PDF.
You do not currently have access to this content.