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paper

Weakly nonlocal continuum theories of granular media: restrictions from the Second Law

arXiv:cond-mat/0310520

Abstract

The classical continuum mechanical model of granular media of rational thermodynamics results in a Coulomb-Mohr type equilibrium stress-strain relation. The proof is based on a two component material model introducing a scalar internal variable. Here we will show how one can get similar stress-strain relations without assuming a balance of substructural interactions, considering only the restrictions of the Second Law of thermodynamics.

10 pages, 1 figure, small revision