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

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 depe...

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Bibliographic Details
Published in:Engineering analysis with boundary elements Vol. 24; no. 10; pp. 707 - 713
Main Authors: Nicholson, D.W., Kassab, A.J.
Format: Journal Article
Language:English
Published: Elsevier Ltd 01.12.2000
Subjects:
Boundary element method
Dual reciprocity
Geometric nonlinearity
Helmholtz decomposition
Incremental methods
Helmholtz decomposition
Incremental methods
Geometric nonlinearity
Boundary element method
Dual reciprocity
ISSN:0955-7997, 1873-197X
Online Access:Get full text
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Summary: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.
ISSN:0955-7997
1873-197X
DOI:10.1016/S0955-7997(00)00053-9