A new approach for modelling slip lines in geological materials with cohesive models

Timon Rabczuk, P. M A Areias

Research output: Contribution to journalArticle

80 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)1159-1172
Number of pages14
JournalInternational Journal for Numerical and Analytical Methods in Geomechanics
Volume30
Issue number11
DOIs
Publication statusPublished - 2006 Sep 1
Externally publishedYes

Fingerprint

modeling
discontinuity
Continuum mechanics
Galerkin methods
continuum mechanics
Galerkin method
methodology
material
loss
particle

Keywords

  • Loss of hyperbolicity
  • Meshfree methods
  • Slip line
  • Traction-separation laws

ASJC Scopus subject areas

  • Geotechnical Engineering and Engineering Geology
  • Materials Science(all)
  • Mechanics of Materials
  • Computational Mechanics

Cite this

A new approach for modelling slip lines in geological materials with cohesive models. / Rabczuk, Timon; Areias, P. M A.

In: International Journal for Numerical and Analytical Methods in Geomechanics, Vol. 30, No. 11, 01.09.2006, p. 1159-1172.

Research output: Contribution to journalArticle

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