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Homogenization of Random Granular Media

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PROBAMAT-21st Century: Probabilities and Materials

Part of the book series: NATO ASI Series ((ASHT,volume 46))

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Abstract

A constitutive law for granular material is derived based on a new micromechanics approach taking into account the mechanisms of sliding and separation of particles. In this approach, the representative volume element is divided into tetrahedral elements where each node is occupied by a particle’s centre. Stress and strain tensors are defined on each tetrahedron and the stress-strain relationship is derived based on the contact law between particles. Then, using the same localization process as the one used by Zaoui [8], the macroscopic constitutive law is derived and compared with experimental results.

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References

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Author information

Authors and Affiliations

  1. CERAM-ENPC 6 & 8, avenue Blaise Pascal-Cité Descartes-Champs-sur- Marne, 77455, Marne-la-Vallée CEDEX 2, France

    K. Sab

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  1. K. Sab
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Editor information

Editors and Affiliations

  1. Department of Civil Engineering and Engineering Mechanics, University of Arizona, Tucson, AZ, USA

    George N. Frantziskonis

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© 1998 Springer Science+Business Media Dordrecht

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Sab, K. (1998). Homogenization of Random Granular Media. In: Frantziskonis, G.N. (eds) PROBAMAT-21st Century: Probabilities and Materials. NATO ASI Series, vol 46. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-5216-7_22

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  • DOI: https://doi.org/10.1007/978-94-011-5216-7_22

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6196-4

  • Online ISBN: 978-94-011-5216-7

  • eBook Packages: Springer Book Archive

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