Abstract
We discuss the quasistatic rheology of ideal granular media consisting of rigid discs interacting via the Coulomb law of friction and perfectly inelastic collisions. The macroscopic description of the rheology of quasistatic deformation of such media is rigid-plastic with hardening laws parameterized with internal variables that have to characterize the geometry of the assembly. A phenomenological approach is proposed along these lines. An outline of a microscopic-macroscopic derivation of the required characteristics is presented. Finally, we list some possible effects of fluctuations that may limit the precise quantitative success of this approach.
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Roux, S., Radjaï, F. (2001). Statistical Approach to the Mechanical Behavior of Granular Media. In: Aref, H., Phillips, J.W. (eds) Mechanics for a New Mellennium. Springer, Dordrecht. https://doi.org/10.1007/0-306-46956-1_12
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DOI: https://doi.org/10.1007/0-306-46956-1_12
Publisher Name: Springer, Dordrecht
Print ISBN: 978-0-7923-7156-4
Online ISBN: 978-0-306-46956-5
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