APPLICATION OF TREFFTZ BEM TO ANTI-PLANE PIEZOELECTRIC PROBLEM  被引量:1

APPLICATION OF TREFFTZ BEM TO ANTI-PLANE PIEZOELECTRIC PROBLEM

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作  者:Wang Juan Cui Yuhong Qin Qinghua Jia Jiangying 

机构地区:[1]Department of Mechanics, Tianjin University, Tianjin 30072, China [2]Department of Engineering, Australian National University, Canberra, ACT 0200, Australia

出  处:《Acta Mechanica Solida Sinica》2006年第4期352-364,共13页固体力学学报(英文版)

基  金:Project supported by the National Natural Science Foundation of China (No. 10472086).

摘  要: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.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.

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

分 类 号:TM215[一般工业技术—材料科学与工程]

 

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