Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua | NOVA. The University of Newcastle's Digital Repository

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Title: Bifurcation analysis for shear localization in non-polar and micro-polar hypoplastic continua
Author/Creator: Huang, Wenxiong; Hjiaj, Mohammed; Sloan, Scott William
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.
Relation: Journal of Engineering Mathematics Vol. 52, no. 1, p. 167-184
Date: 2005
Publisher: Kluwer Academic
Keyword(s): bifurcation analysis; granular materials; hypoplasticity; micro-polar; continuum; non-polar continuum; granular-materials; constitutive model; cosserat continua; band; formation; sand samples; deformation; media; pressure
Resource Type: journal article
Identifier: http://hdl.handle.net/1959.13/25124
Identifier: ISSN:0022-0833
Language: eng

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