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- Publisher
- Springer Journals
- Copyright
- 2006 The Chinese Society of Theoretical and Applied Mechanics and Technology
- ISSN
- 0894-9166
- eISSN
- 1860-2134
- DOI
- 10.1007/s10338-006-0642-4
- Publisher site
- See Article on Publisher Site
Abstract
Abstract Anti-plane electroelastic problems are studied by the Trefftz boundary element method (BEM) in this paper. The Trefftz BEM is based on a weighted residual formulation and indirect boundary approach. In particular the point-collocation and Galerkin techniques, in which the basic unknowns are the retained expansion coefficients in the system of complete equations, are considered. Furthermore, special Trefftz functions and auxiliary functions which satisfy exactly the specified boundary conditions along the slit boundaries are also used to derive a special purpose element with local defects. The path-independent integral is evaluated at the tip of a crack to determine the energy release rate for a mode III fracture problem. In final, the accuracy and efficiency of the Trefftz boundary element method are illustrated by an example and the comparison is made with other methods.
Journal
"Acta Mechanica Solida Sinica" – Springer Journals
Published: Dec 1, 2006
Keywords: Theoretical and Applied Mechanics; Surfaces and Interfaces, Thin Films; Classical Mechanics