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Source point isolation boundary element method for solving general anisotropic potential and elastic problems with varying material properties

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Indexed by:期刊论文

Date of Publication:2010-12-01

Journal:ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS

Included Journals:SCIE、EI、Scopus

Volume:34

Issue:12

Page Number:1049-1057

ISSN No.:0955-7997

Key Words:Boundary element method; Source point isolation technique; Anisotropic potential problem; Anisotropic elasticity; Varying material property

Abstract:This paper presents a new robust boundary element method, based on a source point isolation technique, for solving general anisotropic potential and elastic problems with varying coefficients. Different types of fundamental solutions can be used to derive the basic integral equations for specific anisotropic problems, although fundamental solutions corresponding to isotropic problems are recommended and adopted in the paper. The use of isotropic fundamental solutions for anisotropic and/or varying material property problems results in domain integrals in the basic integral equations. The radial integration method is employed to transform the domain integrals into boundary integrals, resulting in a pure boundary element analysis algorithm that does not need any internal cells. Numerical examples for 2D and 3D potential and elastic problems are given to demonstrate the correctness and robustness of the proposed method. (C) 2010 Elsevier Ltd. All rights reserved.

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