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Three-dimensional constitutive equations for rigid/perfectly plastic granular materials

Published online by Cambridge University Press:  24 October 2008

J. Ostrowska-Maciejewska  and
D. Harris
J. Ostrowska-Maciejewska
Affiliation:
Institute of Fundamental Technological Research, Warsaw, Poland
D. Harris
Affiliation:
Department of Mathematics, University of Manchester Institute of Science and Technology, P.O. Box 88, Manchester M60 1QD
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Abstract

A three-dimensional constitutive equation governing the flow of an isotropic rigid/perfectly plastic granular material is presented. The equation relates the strain-rate tensor to the Cauchy stress tensor and to the co-rotational rate of the Cauchy stress. It contains scalar functions of the scalar invariants involving the stress, stress-rate and strain-rate tensors together with parameters which characterize the material. The model generalizes the double-shearing model and its relationship to existing theories is demonstrated.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 1 , July 1990 , pp. 153 - 169
Copyright
Copyright © Cambridge Philosophical Society 1990

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