A simple methodology to model shear bands as strong displacement discontinuities in a mesh‐free particle method is presented. The shear band is represented as a set of sheared particles. A sheared particle is developed through enrichment by tangential displacement discontinuities. The representation of the shear band as set of cohesive segments provides a simple and versatile model of shear bands. The loss of material stability is used as the criterion for switching from a classical continuum description of the constitutive behaviour to a traction‐separation law acting on the discontinuity surface. The method is implemented for two and three dimensions. Examples of shear band progression in rate‐dependent and rate‐independent materials are presented, including the Kalthoff problem, where the transition from brittle fracture to shear banding is studied.
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Rabczuk et al. (2006) studied this question.
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