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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Veröffentlicht in:Engineering analysis with boundary elements Jg. 24; H. 10; S. 707 - 713
Hauptverfasser: Nicholson, D.W., Kassab, A.J.
Format: Journal Article
Sprache:Englisch
Veröffentlicht: Elsevier Ltd 01.12.2000
Schlagworte:
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
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Zusammenfassung: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