Microstructural formulation of stress dilatancy

Richard Wan; Peijun Guo

doi:10.1016/j.crme.2014.01.005

Microstructural formulation of stress dilatancy

Richard Wan ¹ ; Peijun Guo ²

¹ Department of Civil Engineering, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
² Department of Civil Engineering, McMaster University, Hamilton, Ontario, L8S 4L7, Canada

Comptes Rendus. Mécanique, Micromechanics of granular materials – A tribute to Ching S. Chang, Volume 342 (2014) no. 3, pp. 198-207.

Abstract
Résumé

In this work, we show that the well-known Rowe's stress-dilatancy relation can be readily recovered from a micromechanical analysis of an assembly of rigid particles as a purely dissipative system in the case of a regular packing. When the analysis is extended to a random packing, one can explicitly incorporate the dependence of fabric, density and stress level on dilatancy, a basic aspect of geomaterial behaviour. The resulting microstructurally based stress dilatancy relation can be easily implemented as a non-associated flow rule in any standard elastoplastic model. Some numerical simulations of stress-dilatancy with initial fabric as a controlling variable are presented to illustrate the developed model.

On démontre dans cet article la loi de dilatance de Rowe à partir d'une analyse micromécanique sur un assemblage régulier de particules rigides purement dissipatif. Dans le cas d'un assemblage aléatoire de particules, on peut faire apparaître dans l'écriture de la dilatance l'effet de la texture, de la densité et du niveau de contrainte, une caractéristique importante des géomatériaux. La loi de dilatance issue d'une analyse micromécanique entre dans un modèle élastoplastique par l'intermédiare d'une règle d'écoulement plastique non associée. Les différents aspects du modèle sont illustrés sur plusieurs exemples démontrant l'effet de la texture initiale sur la dilatance.

Published online: 2014-02-28

DOI: 10.1016/j.crme.2014.01.005

Keywords: Stress-dilatancy, Fabric, Elastoplasticity, Micromechanics
Mots-clés : Dilatance, Texture, Élastoplasticité, Micromécanique

Author's affiliations:

Richard Wan ¹; Peijun Guo ²

¹ Department of Civil Engineering, University of Calgary, Calgary, Alberta, T2N 1N4, Canada
² Department of Civil Engineering, McMaster University, Hamilton, Ontario, L8S 4L7, Canada

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     title = {Microstructural formulation of stress dilatancy},
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     pages = {198--207},
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     year = {2014},
     doi = {10.1016/j.crme.2014.01.005},
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Richard Wan; Peijun Guo. Microstructural formulation of stress dilatancy. Comptes Rendus. Mécanique, Micromechanics of granular materials – A tribute to Ching S. Chang, Volume 342 (2014) no. 3, pp. 198-207. doi : 10.1016/j.crme.2014.01.005. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.01.005/

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