A boundary integral equation for deformations of an elastic body with an arc crack
Author:
W. T. Ang
Journal:
Quart. Appl. Math. 45 (1987), 131-139
MSC:
Primary 73M05; Secondary 45L10
DOI:
https://doi.org/10.1090/qam/885175
MathSciNet review:
885175
Full-text PDF Free Access
Abstract |
References |
Similar Articles |
Additional Information
Abstract: A solution for a class of two-dimensional elasticity problems concerning an isotropic body with an arc crack in its interior is obtained in terms of an integral taken around the exterior boundary of the body. A numerical procedure for solving this integral equation is outlined and numerical results for a test problem are given.
M. D. Snyder and T. A. Cruse, Boundary integral analysis of cracked anisotropic plates, Internat. J. Fracture 11, 315 (1975)
- David Clements and M. Haselgrove, A boundary integral equation method for a class of crack problems in anisotropic elasticity, Internat. J. Comput. Math. 12 (1982/83), no. 3-4, 267–278. MR 698150, DOI https://doi.org/10.1080/00207168208803343
- I. S. Sokolnikoff, Mathematical theory of elasticity, McGraw-Hill Book Company, Inc., New York-Toronto-London, 1956. 2d ed. MR 0075755
- A. H. England, Complex variable methods in elasticity, Wiley—Interscience [A division of John Wiley & Sons, Ltd.], London-New York-Sydney, 1971. MR 0464824
- G. Petit Bois, Tables of indefinite integrals, Dover Publications, Inc., New York, 1961. MR 0122924
F. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math. 25, 83 (1967)
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, Dover, New York, 1970
M. D. Snyder and T. A. Cruse, Boundary integral analysis of cracked anisotropic plates, Internat. J. Fracture 11, 315 (1975)
D. L. Clements and M. D. Haselgrove, A boundary integral equation method for a class of crack problems in anisotropic elasticity, Internat. J. Comput. Math. 12, 267 (1983)
I. S. Sokolnikoff, Mathematical theory of elasticity, McGraw-Hill, New York, 1956
A. H. England, Complex variable methods in elasticity, Wiley, New York, 1971
G. Petit Bois, Tables of indefinite integrals, Dover, New York, 1961
F. J. Rizzo, An integral equation approach to boundary value problems of classical elastostatics, Quart. Appl. Math. 25, 83 (1967)
M. Abramowitz and I. A. Stegun, Handbook of mathematical functions, Dover, New York, 1970
Similar Articles
Retrieve articles in Quarterly of Applied Mathematics
with MSC:
73M05,
45L10
Retrieve articles in all journals
with MSC:
73M05,
45L10
Additional Information
Article copyright:
© Copyright 1987
American Mathematical Society