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The boundary integral equation method for the solution of a class of problems in anisotropic elasticity

Published online by Cambridge University Press:  17 February 2009

Oscar A. C. Jones
Affiliation:
Department of Applied Mathematics, University of Adelaide, Adelaide, South Australia 5000
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Abstract

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A boundary integral procedure for the solution of an important class of problems in anisotropic elasticity is outlined. Specific numerical examples are considered in order to provide a comparison with the standard boundary integral method.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1981

References

[1]Rizzo, F. J. and Shippy, D. J., “A method for stress determination in plane anisotropic elastic bodies”, J. Composite Materials 4 (1970), 3661.CrossRefGoogle Scholar
[2]Clements, D. L. and Rizzo, F. J., “A method for the numerical solution of boundary value problems governed by second-order elliptic systems”, J. Inst. Maths. Applics. 22 (1978), 197202.CrossRefGoogle Scholar
[3]Symm, G. T., “Integral equation methods in potential theory”, Proc. Roy. Soc. A 275 (1963), 3346.Google Scholar
[4]Cruse, T. A. and Lachat, J. C. (eds.), Proceedings of the international symposium on innovative numerical analysis in applied engineering science (Versailles, France, 1977).Google Scholar
[5]Cruse, T. A. and Rizzo, F. J. (eds.), Boundary integral equation method: computational applications in applied mechanics (A. S. M. E. Proceedings, AMD Vol. 2 1975).Google Scholar
[6]Fairweather, Graeme, Rizzo, Frank J., Shippy, David J. and Wu, Yensen S., “On the numerical solution of two-dimensional potential problems by an improved boundary integral equation method”, J. Comp. Phys. 31 (1979), 96112.CrossRefGoogle Scholar