Some Properties of a New Model for Slow Flow of Granular Materials |
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Authors: | David Harris |
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Institution: | (1) School of Mathematics, University of Manchester, P.O. Box 88, Manchester, M60 1QD, UK |
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Abstract: | Some properties of a new continuum model for the bulk flow of a dense granular material in which neighbouring grains are in
contact for a finite duration of time and in which the contact force is non-impulsive – the so called slow flow regime – are
presented. The model generalises both the plastic potential and double-shearing models and contains an additional kinematic
quantity – the intrinsic spin. The stress tensor is, in general, non-symmetric and separate yield conditions govern translational
and rotational yield. We consider homogeneous, quasi-static loadings for the symmetric part of the stress and dynamic loading
for the anti-symmetric part of the stress. A solution for the stress state in terms of a single parameter, namely the major
principal direction of the symmetric part of the stress, is presented. This direction itself is determined by a consideration
of the flow equations in the context both dilatant and isochoric simple shear flows. These simple flows are used to complete
the characterisation of the relationship between the anti-symmetric part of the stress and the intrinsic spin. |
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Keywords: | Granular materials Plasticity Dilatant shear |
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