Symmetric Galerkin Boundary Element Method For Two-dimensional
Elastodynamics
Author(s)
Z. Zhao, W. Yuan & S. T. Li
Abstract
Symmetric Galerkin boundary element method
for two-dimensional elastodynamics
Z. Zhao, W. Yuan & S. T. Lie
School of Civil and Environmental Engineering,
Nanyang Technological University,
Singapore.
Abstract
A two-dimensional symmetric Galerkin boundary element method is
implemented in this paper, with emphasis on the special treatments of singular
integrals. The integrals in the time domain are carried out by an analytical
method. In order to evaluate the strong singular double integrals and the
hypersingular double integrals in the space domain which are associated with the
fundamental solutions GPU and GPP , artificial body forces are introduced to
indirectly derive the singular terms. Thus, those singular integrals which behave
like llr and llr2 are all avoided in the proposed SGEBM implementation. One
numerical example is presented to assess the accuracy of the numerical
implementation which shows similar accuracy as compared with the FEM and
the analytical solutions.
1 Introduction
In
Keywords
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