Strain Localization in the Boundary Element Method: the Strong Discontinuity Approach as a Limit Case

Rodrigo Peixoto¹; Gabriel Oliveira¹; Roque Pitangueira¹; Samuel Penna¹

¹ Universidade Federal de Minas Gerais

doi:10.20906/CPS/CILAMCE2015-0569

Resumo

The Implicit Formulation of the Boundary Element Method (BEM) is used to deal with physically non-linear 2D-problems in solids. An isotropic damage constitutive model, equipped with a strain softening rule, is applied to increasingly narrow bandwidths, determined by mesh refinement, showing the typical post-peak mesh-dependence behaviour. The Continuum Strong Discontinuity Approach (CSDA), characterized by an introduction of discontinuous jumps in the displacement field together with an equilibrium verification (using continuous constitutive models) on the discontinuity line, is also applied to the implicit formulation of the BEM. By a simple numerical example, it is shown that, beyond the mesh independence, the CSDA results represent the limit result of zero localization bandwidth.

Palavras-chave: Boundary Element Method; Strain localization; Continuum Strong Discontinuity Approach