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

Nicholson, David W.; Kassab, Alain J.

doi:10.1016/s0955-7997(00)00053-9

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2011

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Cited by 3 publications

(2 citation statements)

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“…During the past decades, substantial effort has been expended to avoid, minimize or eliminate the domain discretization [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26]. The following four methods are widely used.…”

Section: Introductionmentioning

confidence: 99%

A nonlinear complementarity approach for elastoplastic problems by BEM without internal cells

Deng¹,

Li²,

Wang³

et al. 2011

Engineering Analysis with Boundary Elements

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Section: Introductionmentioning

confidence: 99%

A nonlinear complementarity approach for elastoplastic problems by BEM without internal cells

Deng¹,

Li²,

Wang³

et al. 2011

Engineering Analysis with Boundary Elements

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“…The method proposed by these authors, however, requires an analytical integration of the radial basis functions times the fundamental solution. Nicholson and Kassab [47] use a domain integral reduction algorithm to convert the volume integral into a surface integral using the Helmholtz decomposition. Gao [22] transforms the domain integrals into boundary integrals using a radial integration method.…”

Section: Introductionmentioning

confidence: 99%

Efficient elastoplastic analysis with the boundary element method

2007

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Conventional numerical implementation of the boundary element method (BEM) for elasto-plastic analysis requires a domain discretization into cells. This requires more effort for the discretization of the problem and additional computational effort. A new technique is proposed here for the analysis of 2D and 3D elasto-plastic problems with the boundary element method. In this approach the domain does not need to be discretised into cells prior to the analysis. Plasticity is assumed to start from the boundary and the cells are generated from the boundary data automatically during the analysis. Using the cell generation process, elasto-plastic analysis with the BEM becomes much more user friendly and efficient than the standard approach with a pre-definition of cells. The accuracy and efficiency of the solution obtained by the new approach is verified by several numerical examples.

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