Shear banding analysis of plastic models formulated for inompressible viscous flows

Lemiale, V., Muhlhaus, Hans B., Moresi, Louis and Stafford, J. (2008) Shear banding analysis of plastic models formulated for inompressible viscous flows. Physics of The Earth And Planetary Interiors, 171 1-4: 177-186. doi:10.1016/j.pepi.2008.07.038


Author Lemiale, V.
Muhlhaus, Hans B.
Moresi, Louis
Stafford, J.
Title Shear banding analysis of plastic models formulated for inompressible viscous flows
Journal name Physics of The Earth And Planetary Interiors   Check publisher's open access policy
ISSN 0031-9201
Publication date 2008-08-08
Year available 2008
Sub-type Article (original research)
DOI 10.1016/j.pepi.2008.07.038
Open Access Status DOI
Volume 171
Issue 1-4
Start page 177
End page 186
Total pages 9
Editor Helffrich, G.
Jellinek, M.
Rubie, D.
Zhang, K.
Place of publication Europe
Publisher Elsevier
Language eng
Subject 010110 Partial Differential Equations
040403 Geophysical Fluid Dynamics
970104 Expanding Knowledge in the Earth Sciences
C1
Abstract We investigate shear band orientations for a simple plastic formulation in the context of incompressible viscous flow. This type of material modelling has been introduced in literature to enable the numerical simulation of the deformation and failure of the lithosphere coupled with the mantle convection. In the present article, we develop a linear stability analysis to determine the admissible shear band orientations at the onset of bifurcation. We find that the so-called Roscoe angle and Coulomb angle are both admissible solutions. We present numerical simulations under plane strain conditions using the hybrid particle-in-cell finite element code Underworld. The results both in compressional and extensional stress conditions show that the variation of the numerical shear bands angle with respect to the internal friction angle follows closely the evolution of the Coulomb angle.
Keyword Drucker-Prager failure criterion
Finite element particle-in-cell
Linear stability analysis
Shear banding
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
Earth Systems Science Computational Centre Publications
 
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Created: Thu, 09 Apr 2009, 06:24:47 EST by Tracy Paroz on behalf of Earth Systems Science Computational Centre