Application of Trefftz BEM to anti-plane piezoelectric problem
Date
2006
Authors
Wang, Juan
Cui, Yuhong
Qin, Qing Hua
Jia, Jiangying
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Publisher
Springer
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.
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Keywords
Keywords: anti-plane fracture; Galerkin technique; piezoelectric medium; point-collocation technique; special trial function; Trefftz boundary element; Cracks; Fracture; Galerkin methods; Piezoelectric materials; Piezoelectric transducers; Piezoelectricity; Boundar anti-plane fracture; Galerkin technique; piezoelectric medium; point-collocation technique; special trial function; Trefftz boundary element
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Source
Acta Mechanica Solida Sinica
Type
Journal article
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2037-12-31
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