Premium
A simplified mesh‐free method for shear bands with cohesive surfaces
Author(s) -
Rabczuk T.,
Areias P. M. A.,
Belytschko T.
Publication year - 2006
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1797
Subject(s) - classification of discontinuities , shear band , simple shear , shear (geology) , discontinuity (linguistics) , shear rate , brittleness , materials science , mechanics , classical mechanics , mathematics , physics , composite material , mathematical analysis , rheology
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. Copyright © 2006 John Wiley & Sons, Ltd.