Micromechanical Formulation of Stress Dilatancy as a Flow Rule in Plasticity of Granular Materials
Publication: Journal of Engineering Mechanics
Volume 136, Issue 5
Abstract
The paper presents micromechanical formulations of stress dilatancy and their connection to a flow rule in classical elastoplasticity. Dilatancy is inarguably the manifestation of an internal kinematic constraint involving both particle shape and connectivity (texture or fabric) with operative interparticle friction against applied stresses. However, this notion of microstructural dependence is nonexistent in most stress-dilatancy formulations in the literature. We present two different micromechanical approaches that arrive at stress-dilatancy expressions with embedded micromechanical information in the form of a second-order fabric tensor. In connection to stress dilatancy, the underlying nature of the flow rule is next discussed with respect to the dependence of the plastic strain increment vector on the direction of loading (stress increment). It is demonstrated analytically that the flow rule is singular in three-dimensional stress and strain conditions. Finally, the dependencies of dilatancy on fabric are illustrated through various numerical simulations using the micromechanically enriched stress-dilatancy models and a discrete element method.
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Acknowledgments
The writers of this paper are grateful to the France-Canada Foundation for Research (FFCR) for facilitating the research exchange between Calgary and Grenoble. The basic research work was supported by the National Science and Engineering Research Council of Canada for the first writer, and the Federative Research Structure RNVO (Natural Hazards and Structure Vulnerability) for the second and third writers.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 136 • Issue 5 • May 2010
Pages: 589 - 598
Copyright
© 2010 ASCE.
History
Received: Sep 12, 2008
Accepted: Oct 9, 2009
Published online: Oct 22, 2009
Published in print: May 2010
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