Application of trefftz BEM to anti-plane piezoelectric problem

Wang Juan, Cui Yuhong*, Qin Qinghua, Jia Jiangying

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    6 Citations (Scopus)

    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.

    Original languageEnglish
    Pages (from-to)352-364
    Number of pages13
    JournalActa Mechanica Solida Sinica
    Volume19
    Issue number4
    DOIs
    Publication statusPublished - Dec 2006

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