Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua

Title: Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua
Creator: Huang, Wenxiong; Hjiaj, Mohammed; Sloan, Scott William
Relation: Journal of Engineering Mathematics Vol. 52, no. 1, p. 167-184
Publisher: Kluwer Academic
Resource Type: journal article
Date: 2005
Description: In this paper, shear localization in granular materials is studied as a bifurcation problem based on a conventional (non-polar) and a micro-polar continuum description. General bifurcation conditions are formulated for a non-polar hypoplastic model and its micro-polar continuum extension. These conditions define stress, couple stress and density states at which weak discontinuity bifurcation may occur. The stress states for bifurcation are then compared with the peak stress states, which define a bounding surface for the accessible stress domain in the principal stress space. The results show that, in a micro-polar continuum description, the constitutive model may no longer be associated with weak discontinuity bifurcation.
Subject: bifurcation analysis; granular materials; hypoplasticity; micro-polar; continuum; non-polar continuum; granular-materials; constitutive model; cosserat continua; band; formation; sand samples; deformation; media; pressure
Identifier: http://hdl.handle.net/1959.13/25124
Identifier: uon:277
Identifier: ISSN:0022-0833
Language: eng
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