A Galerkin approach to boundary element elastoplastic analysis
type: Item
instance of: scholarly article
title: A Galerkin approach to boundary element elastoplastic analysis
zbMATH Open document ID: 0602.73081
DOI: 10.1016/0045-7825(87)90108-3
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
review text: The elastoplastic boundary value problem in terms of rates, formulated using integral equations of linear elasticity, is shown to be amenable, through discretizations, to a linear complementarity problem endowed with a symmetric matrix (in contrast to the traditional boundary element formulation). This symmetrization is achieved by suitably choosing the fundamental solutions and formulating the integral equations for boundary quantities and stresses, and by enforcing in a Galerkin weighted-residual sense (instead of collocation) the boundary integral equations and the plastic constitutive laws over domain cells.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 49M15
zbMATH DE Number: 3972365
zbMATH Keywords: three-dimensional solids
zbMATH Keywords: Somigliana-type integrals
zbMATH Keywords: displacements
zbMATH Keywords: tractions
zbMATH Keywords: interpolation functions as weights
zbMATH Keywords: elastoplastic boundary value problem
zbMATH Keywords: terms of rates
zbMATH Keywords: linear complementarity problem
zbMATH Keywords: symmetric matrix
zbMATH Keywords: fundamental solutions
zbMATH Keywords: integral equations for boundary quantities and stresses
zbMATH Keywords: Galerkin weighted-residual
author: G. Maier
author: Castrenze Polizzotto
MaRDI profile type: Publication
full work available at URL: 0045-7825(87)90108-3
OpenAlex ID: W1969633375
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description: scientific article; zbMATH DE number 3972365