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Multi-region adaptive finite element-boundary element method for elasto-plastic analysis

In this paper, a multi-region adaptive finite element–boundary element (FEM-BEM) method for elasto-plastic analysis is presented. The method is suitable for several plasticity models, i.e. von-Mises, Tresca, Mohr–Coulomb, Drucker–Prager, Hill, and Hoffman yield criteria. The domain of the original problem is divided into the finite element and the boundary element sub-domains: the FEM is utilized in regions where plastic material behaviour is expected to develop, whereas the complementary linear elastic region is approximated using the symmetric Galerkin BEM. The adaptive method estimates the finite element and boundary element sub-domains, automatically generates the corresponding meshes and adapts the sub-domains, according to the state of computation.