The boundary integral equation method with application to certain stress concentration problems in elasticity
- 1 April 1981
- journal article
- research article
- Published by Cambridge University Press (CUP) in The Journal of the Australian Mathematical Society. Series B. Applied Mathematics
- Vol. 22 (4) , 381-393
- https://doi.org/10.1017/s0334270000002733
Abstract
The essential aspects of the Boundary Integral Equation Method for the numerical solution of elliptic type boundary value problems are presented. A numerical example for a stress concentration problem in classical elasticity in three dimensions is given along with several examples for a class of scalar problems in elastic torsion of non-cylindrical bars. Some discussion and criticism of the method itself and in comparison with widely used field methods is also presented.Keywords
This publication has 8 references indexed in Scilit:
- On the numerical solution of two-dimensional potential problems by an improved boundary integral equation methodJournal of Computational Physics, 1979
- The spectra of some integral operators for plane elastostatical boundary value problemsJournal of Elasticity, 1978
- A note on the body force integral of classical elastostaticsZeitschrift für angewandte Mathematik und Physik, 1977
- An advanced boundary integral equation method for three‐dimensional thermoelasticityInternational Journal for Numerical Methods in Engineering, 1977
- Effective numerical treatment of boundary integral equations: A formulation for three‐dimensional elastostaticsInternational Journal for Numerical Methods in Engineering, 1976
- Stress concentrations arising in the torsion of grooved shaftsInternational Journal of Mechanical Sciences, 1967
- An integral equation approach to boundary value problems of classical elastostaticsQuarterly of Applied Mathematics, 1967
- Integral equation methods in potential theory. IProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1963