TY - JOUR
T1 - Application of trefftz BEM to anti-plane piezoelectric problem
AU - Juan, Wang
AU - Yuhong, Cui
AU - Qinghua, Qin
AU - Jiangying, Jia
PY - 2006/12
Y1 - 2006/12
N2 - 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.
AB - 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.
KW - Galerkin technique
KW - Trefftz boundary element
KW - anti-plane fracture
KW - piezoelectric medium
KW - point-collocation technique
KW - special trial function
UR - http://www.scopus.com/inward/record.url?scp=65449147013&partnerID=8YFLogxK
U2 - 10.1007/s10338-006-0642-4
DO - 10.1007/s10338-006-0642-4
M3 - Article
SN - 0894-9166
VL - 19
SP - 352
EP - 364
JO - Acta Mechanica Solida Sinica
JF - Acta Mechanica Solida Sinica
IS - 4
ER -