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An interface integral equation method for solving general multi-medium mechanics problems

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Indexed by:期刊论文

Date of Publication:2016-08-24

Journal:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Included Journals:SCIE、EI、Scopus

Volume:107

Issue:8

Page Number:696-720

ISSN No.:0029-5981

Key Words:boundary element method; interface integral equation; interface degeneration method; source point isolation method

Abstract:In this paper, based on the general stress-strain relationship, displacement and stress boundary-domain integral equations are established for single medium with varying material properties. From the established integral equations, single interface integral equations are derived for solving general multi-medium mechanics problems by making use of the variation feature of the material properties. The displacement and stress interface integral equations derived in this paper can be applied to solve non-homogeneous, anisotropic, and non-linear multi-medium problems in a unified way. By imposing some assumptions on the derived integral equations, detailed expressions for some specific mechanics problems are deduced, and a few numerical examples are given to demonstrate the correctness and robustness of the derived displacement and stress interface integral equations. Copyright (C) 2016 John Wiley & Sons, Ltd.

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