Title

Explicit Boundary Element Method For Nonlinear Solid Mechanics Using Domain Integral Reduction

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.

Publication Date

1-1-2000

Publication Title

Engineering Analysis with Boundary Elements

Volume

24

Issue

10

Number of Pages

707-713

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/S0955-7997(00)00053-9

Socpus ID

0034516493 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0034516493

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