Anisotropic viscous models of large-deformation Mohr-Coulomb failure

Moresi, L. and Muhlhaus, H. B. (2006) Anisotropic viscous models of large-deformation Mohr-Coulomb failure. Philosophical Magazine, 86 21-22: 3287-3305. doi:10.1080/147864430500255419

Author Moresi, L.
Muhlhaus, H. B.
Title Anisotropic viscous models of large-deformation Mohr-Coulomb failure
Journal name Philosophical Magazine   Check publisher's open access policy
ISSN 1478-6435
Publication date 2006
Sub-type Article (original research)
DOI 10.1080/147864430500255419
Volume 86
Issue 21-22
Start page 3287
End page 3305
Total pages 19
Editor Muhlhaus, H. B.
Busso, E. P.
Benallal, A.
Sluys, L. J.
Suiker, A. S. J.
Place of publication United Kingdom
Publisher Taylor & Francis Group
Collection year 2006
Language eng
Subject C1
260206 Earthquake Seismology
780104 Earth sciences
Abstract We have developed a way to represent Mohr-Coulomb failure within a mantle-convection fluid dynamics code. We use a viscous model of deformation with an orthotropic viscoplasticity (a different viscosity is used for pure shear to that used for simple shear) to define a prefered plane for slip to occur given the local stress field. The simple-shear viscosity and the deformation can then be iterated to ensure that the yield criterion is always satisfied. We again assume the Boussinesq approximation, neglecting any effect of dilatancy on the stress field. An additional criterion is required to ensure that deformation occurs along the plane aligned with maximum shear strain-rate rather than the perpendicular plane, which is formally equivalent in any symmetric formulation. We also allow for strain-weakening of the material. The material can remember both the accumulated failure history and the direction of failure. We have included this capacity in a Lagrangian-integration-point finite element code and show a number of examples of extension and compression of a crustal block with a Mohr-Coulomb failure criterion. The formulation itself is general and applies to 2- and 3-dimensional problems.
Keyword Materials Science, Multidisciplinary
Metallurgy & Metallurgical Engineering
Physics, Applied
Physics, Condensed Matter
Mantle Convection
Subduction Zones
Q-Index Code C1

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Created: Wed, 15 Aug 2007, 11:00:25 EST