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An improved inner point stress integral equation and its application in 2-D elastoplastic problems

Authors
Journal
Engineering Analysis with Boundary Elements
0955-7997
Publisher
Elsevier
Publication Date
Volume
22
Issue
2
Identifiers
DOI: 10.1016/s0955-7997(97)00073-8
Keywords
  • Boundary Element Method
  • Elastoplasticity
  • Stress Integral Formulation
Disciplines
  • Mathematics

Abstract

Abstract In this paper, an improved inner point stress integral formulation for 2-D or 3-D elastoplastic problems is given by Stokes' theorem. In this formulation, Cauchy principal integrals appearing in the usual inner point stress integral formulation are converted into weakly singular integrals and a line integral over the potential plastic area as well as a corresponding free term. Numerical examples for the 2-D elastoplastic problem show that the given inner point stress integral formulation is correct.

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