Frictional granular mechanics: A variational approach

R. Holtzman, D.B. Silin, T.W. Patzek

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    17 Citations (Scopus)
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    The mechanical properties of a cohesionless granular material are evaluated from grain‐scale simulations. Intergranular interactions, including friction and sliding, are modeled by a set of contact rules based on the theories of Hertz, Mindlin, and Deresiewicz. A computer‐generated, three‐dimensional, irregular pack of spherical grains is loaded by incremental displacement of its boundaries. Deformation is described by a sequence of static equilibrium configurations of the pack. A variational approach is employed to find the equilibrium configurations by minimizing the total work against the intergranular loads. Effective elastic moduli are evaluated from the intergranular forces and the deformation of the pack. Good agreement between the computed and measured moduli, achieved with no adjustment of material parameters, establishes the physical soundness of the proposed model.
    Original languageEnglish
    Pages (from-to)1259-1280
    Number of pages22
    JournalInternational Journal for Numerical Methods in Engineering
    Issue number10
    Early online date9 Sept 2009
    Publication statusPublished - 5 Mar 2010

    Bibliographical note

    This is the peer reviewed version of the following article: Holtzman, R, Silin, DB & Patzek, TW 2010, 'Frictional granular mechanics: A variational approach', International Journal for Numerical Methods in Engineering, vol. 81, no. 10, pp. 1259-1280 which has been published in final form at This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving.

    Copyright © and Moral Rights are retained by the author(s) and/ or other copyright owners. A copy can be downloaded for personal non-commercial research or study, without prior permission or charge. This item cannot be reproduced or quoted extensively from without first obtaining permission in writing from the copyright holder(s). The content must not be changed in any way or sold commercially in any format or medium without the formal permission of the copyright holders.


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