Strain localization and shear banding in ductile materials

• Main Authors: Bordignon, N, Piccolroaz, A, Corso, F. Dal, Bigoni, D
• Format: Journal Article
• Language: English
• Published: 24.01.2015
• Subjects: Physics - Materials Science; Physics - Soft Condensed Matter
• DOI: 10.48550/arxiv.1501.06024

A model of a shear band as a zero-thickness nonlinear 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$_2$-deformation theory material, in which the shear band is modelled 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.