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Title of Journal: Acta Mech Solida Sin

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Abbravation: Acta Mechanica Solida Sinica

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Springer Singapore

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DOI

10.1007/s00338-006-0160-3

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1860-2134

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Application of Trefftz BEM to antiplane piezoelec

Authors: Juan Wang Yuhong Cui Qinghua Qin Jiangying Jia
Publish Date: 2006/12/01
Volume: 19, Issue: 4, Pages: 352-364
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Abstract

Antiplane 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 pointcollocation 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 pathindependent 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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