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A model of a shear band as a zero-thickness nonlinear interface is proposedand tested using finite element simulations. An imperfection approach is usedin this model where a shear band, that is assumed to lie in a ductile matrixmaterial (obeying von Mises plasticity with linear hardening), is present fromthe beginning of loading and is considered to be a zone in which yieldingoccurs before the rest of the matrix. This approach is contrasted with aperturbative approach, developed for a J$_2$-deformation theory material, inwhich the shear band is modelled to emerge at a certain stage of a uniformdeformation. Both approaches concur in showing that the shear bands(differently from cracks) propagate rectilinearly under shear loading and thata strong stress concentration should be expected to be present at the tip ofthe shear band, two key features in the understanding of failure mechanisms ofductile materials.

Strain localization and shear banding in ductile materials