Modeling of Strain Localization via a Two-Scale Formulation

Abstract

Strain localization phenomena usually precede the failure of different materials. A twoscale finite element formulation was developed for modeling localization processes in J2 plane
elastoplastic deformation processes. The formulation is based on the use of embedded strong discontinuity modes which are triggered using a stress based criterion. The new formulation does not require a specific mesh refinement to model the localization phenomena and provides mesh independent results. The shear bands constitutive behavior is derived from the continuum properties without the introduction of any ad hoc physical law.