Title

Explicit boundary element method for nonlinear solid mechanics using domain integral reduction

Authors

Authors

D. W. Nicholson;A. J. Kassab

Comments

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Abbreviated Journal Title

Eng. Anal. Bound. Elem.

Keywords

boundary element method; incremental methods; geometric nonlinearity; dual reciprocity; Helmholtz decomposition; incremental methods; TANGENT MODULUS TENSOR; HEAT-CONDUCTION; EQUATION; MEDIA; FORMULATION; BEM; Engineering, Multidisciplinary; Mathematics, Interdisciplinary; Applications

Abstract

Applied to solid mechanics problems with geometric nonlinearity, current finite element and boundary element methods face difficulties if the domain is highly distorted. Furthermore, current boundary element method (BEM) methods for geometrically nonlinear problems are implicit: the source term depends on the unknowns within the arguments of domain integrals. In the current study, a new BEM method is formulated which is explicit and whose stiffness matrices require no domain function evaluations. It exploits a rigorous incremental equilibrium equation. The method is also based on a Domain Integral Reduction Algorithm (DIRA), exploiting the Helmholtz decomposition to obviate domain function evaluations. The current version of DIRA introduces a major improvement compared to the initial version. (C) 2000 Published by Elsevier Science Ltd.

Journal Title

Engineering Analysis with Boundary Elements

Volume

24

Issue/Number

10

Publication Date

1-1-2000

Document Type

Article

Language

English

First Page

707

Last Page

713

WOS Identifier

WOS:000165936700003

ISSN

0955-7997

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