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

    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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