Comptes Rendus
no. 3
Microstructural formulation of stress dilatancy
[Formulation microstructurelle de la dilatance]
Richard Wan1  ; Peijun Guo2
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, Volume 342 (2014) no. 3, pp. 198-207.

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.

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.

Publié le :
DOI : 10.1016/j.crme.2014.01.005
Keywords: Stress-dilatancy, Fabric, Elastoplasticity, Micromechanics
Mot clés : Dilatance, Texture, Élastoplasticité, Micromécanique
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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Richard Wan; Peijun Guo. Microstructural formulation of stress dilatancy. Comptes Rendus. Mécanique, 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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