Open Access

ARTICLE

Application of the OMLS Interpolation to Evaluate Volume Integrals Arising in Static Elastoplastic Analysis via BEM

by K.I. Silva¹, J.C.F. Telles², F.C. Araújo³

1 UFSJ, Ouro Branco, MG, Brazil - katia@ufsj.edu.br
2 UFRJ, Rio de Janeiro, RJ, Brazil - telles@coc.ufrj.br
3 UFOP, Ouro Preto, MG, Brazil - fcelio@em.ufop.br

Computer Modeling in Engineering & Sciences 2011, 78(3&4), 209-224. https://doi.org/10.3970/cmes.2011.078.209

Abstract

In this work the boundary element method is applied to solve 2D elastoplastic problems. In elastoplastic boundary element analysis, domain integrals have to be calculated to introduce the contribution of yielded zones. Traditionally, the use of internal integration cells have been adopted to evaluate such domain integrals. The present work, however, proposes an alternative cell free strategy based on the OMLS (Orthogonal Moving Least Squares) interpolation, typically adopted in meshless methods. In this approach the definition of points to compute the interpolated value of a function at a given location only depends on their relative distance, without need to define any element or cell connectivity. In addition, a criterion-independent explicit procedure has been used for analyzing the inelastic non-linear problem. Analyses of existing problems found in the literature are used to illustrate the accuracy of the proposed technique.

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Keywords

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