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A continuum model for granular materials: Considering dilatancy and the Mohr-Coulomb criterion

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Summary

In this paper we will explore the consequences of the Mohr-Coulomb criterion on the constitutive equation proposed by Rajagopal and Massoudi [1]. This contunuum model which is based on the earlier works of Cowin [2] has also the ability to predict the dilatancy effect which is related to the normal stress effects. At the same time, if a proper representation is given to some of the material parameters, this model would also comply with the Mohr-Coulomb criterion. We also present, as a special case, an exact solution for the case of simple shear flows.

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Author notes

  1. M. Massoudi

    Present address: National Energy Technology Laboratory, U.S. Department of Energy, P.O. Box 10940, 15236, Pittsburgh, PA, USA

  2. M. M. Mehrabadi

    Present address: Department of Mechanical Engineering, Tulane University, 70118, New Orleans, LA, USA

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    1. M. Massoudi
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    Massoudi, M., Mehrabadi, M.M. A continuum model for granular materials: Considering dilatancy and the Mohr-Coulomb criterion. Acta Mechanica 152, 121–138 (2001). https://doi.org/10.1007/BF01176949

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