AUTHOR=Bordignon Nicola , Piccolroaz Andrea , Dal Corso Francesco , Bigoni Davide 

TITLE=Strain Localization and Shear Band Propagation in Ductile Materials

JOURNAL=Frontiers in Materials

VOLUME=2

YEAR=2015

URL=https://www.frontiersin.org/journals/materials/articles/10.3389/fmats.2015.00022

DOI=10.3389/fmats.2015.00022

ISSN=2296-8016

ABSTRACT=<p>A model of a shear band as a zero-thickness non-linear interface is proposed and tested using finite element simulations. An imperfection approach is used in this model where a shear band that is assumed to lie in a ductile matrix material (obeying von Mises plasticity with linear hardening), is present from the beginning of loading and is considered to be a zone in which yielding occurs before the rest of the matrix. This approach is contrasted with a perturbative approach, developed for a J<sub>2</sub>-deformation theory material, in which the shear band is modeled to emerge at a certain stage of a uniform deformation. Both approaches concur in showing that the shear bands (differently from cracks) propagate rectilinearly under shear loading and that a strong stress concentration should be expected to be present at the tip of the shear band, two key features in the understanding of failure mechanisms of ductile materials.</p>