Journal
INTERNATIONAL JOURNAL FOR NUMERICAL AND ANALYTICAL METHODS IN GEOMECHANICS
Volume 30, Issue 11, Pages 1159-1172Publisher
WILEY
DOI: 10.1002/nag.522
Keywords
meshfree methods; slip line; loss of hyperbolicity; traction-separation laws
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A methodology to model slip lines as strong displacement discontinuities within a continuum mechanics context is presented. The loss of hyperbolicity of the IBVP is used as the criterion for switching from a classical continuum description of the constitutive behaviour to a traction-separation model acting at the discontinuity surface. A version of the element-free Galerkin (EFG) method is employed where the slip line is represented as a set of slipped particles. The representation of the slip line as set of cohesive segments promises to remove difficulties in the propagation of the slip line. Two-dimensional examples are studied using the Drucker-Prager material model. Copyright (C) 2006 John Wiley & Sons, Ltd.
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