Estudio del problema elastoplástico con deformaciones finitas mediante ecuaciones integrales de contorno y de dominio

Abstract

This paper presents a formulation of the static problem of metallic solids undergoing both material and geometrical nonlinearities. The plastic constitutive relations are based on the von Mises yield criterion with associated flow rule and isotropic hardening. The plastic strains can be large. The numerical approach is based on the Boundary Element Method but, as it is no possible to take all the integrals to the boundary, domain discretization is needed as well as boundary discretization. A material description is adopted together with an updated Lagrangian approach. The generalized midpoint algorithm is used for the computation of the large scale plastic strains. The displacement gradients are obtained, in order to avoid singularities, from polynomial differentiation of the displacement field in each domain element from the nodal values. The resulting method is incremental and iterations are needed in each increment. A example is presented, showing the applicability of the proposed method.

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