A new approach for modelling slip lines in geological materials with cohesive models
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Journal Article
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Publisher
University of Canterbury. Mechanical Engineering.
Journal Title
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Date
2006
Authors
Rabczuk, T.
Areias, P.M.A.
Abstract
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.
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Citation
Rabczuk, T., Areias, P.M.A. (2006) A new approach for modelling slip lines in geological materials with cohesive models. International Journal for Numerical and Analytical Methods in Engineering, 30(11), pp. 1159-1172.
Keywords
Meshfree methods, Slip line, Loss of hyperbolicity, Traction-separation laws