An energy approach to the boundary element method. II: Elastic-plastic solids
type: Item
instance of: scholarly article
title: An energy approach to the boundary element method. II: Elastic-plastic solids
zbMATH Open document ID: 0629.73070
DOI: 10.1016/0045-7825(88)90043-6
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1988-01-01T00:00:00Z
review text: On the basis of the energy formulation presented in a twin paper [see the article reviewed above (Zbl 0629.73069)], the use of the BEM to solve the most typical problems of elastoplasticity is studied. To this aim a two- fold discretization is operated by boundary elements, as well by cell elements, the latter having the only purpose of suitably modelling the plastic behaviour of the continuum. Global plastic yielding laws for the individual cell elements are derived by means of the maximum plastic work theorem. In such a way, the BE/cell discretized model is shown to be governed by discrete-form equations fully equivalent to those of FE models. In particular, provided that the cell plastic yielding laws are piecewise linear, all the mathematical programming methods used to solve problems within the FEM can be entirely utilized also within the BEM. However, the numerical implementation of this approach and its competitiveness with respect to the FEM are questions open to further study.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 4024929
zbMATH Keywords: energy formulation
zbMATH Keywords: elastoplasticity
zbMATH Keywords: two-fold discretization
zbMATH Keywords: boundary elements
zbMATH Keywords: cell elements
zbMATH Keywords: global plastic yielding laws
zbMATH Keywords: maximum plastic work theorem
author: Castrenze Polizzotto
MaRDI profile type: Publication
full work available at URL: 0045-7825(88)90043-6
OpenAlex ID: W2063195953
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description: scientific article; zbMATH DE number 4024929