Acta Mechanica Solida Sinica

, Volume 19, Issue 4, pp 352–364 | Cite as

Application of Trefftz BEM to anti-plane piezoelectric problem

  • Juan Wang
  • Yuhong Cui
  • Qinghua Qin
  • Jiangying Jia


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.

Key words

Trefftz boundary element point-collocation technique Galerkin technique special trial function anti-plane fracture piezoelectric medium 


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Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Juan Wang
    • 1
  • Yuhong Cui
    • 1
  • Qinghua Qin
    • 1
    • 2
  • Jiangying Jia
    • 1
  1. 1.Department of MechanicsTianjin UniversityTianjinChina
  2. 2.Department of EngineeringAustralian National UniversityCanberraAustralia

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