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(2007)

Stochastic Homogenization of a Two-Dimensional Granular Medium

Mohamed Najib 1, Mayeul Arminjon 2, Hichem Smaoui 1

(2007)

In order to describe the macroscopic behavior of granular media, a statistical micro to macro level transition model is first developed, based on Jaynes' principle of maximum entropy. The model formulation translates into a strictly convex, nonlinear optimization problem. It is tested by solving model examples of two dimensional granular structures. Next, a Lagrangian dual formulation of the maximum entropy problem is derived and analyzed. The dual formulation, which is confirmed to be computationally more efficient than the primal one, is applied in solving an evolution problem for a regular granular structure subjected to a biaxial compression loading with a prescribed lateral stress. Results show that the model is capable of predicting the response, in terms of stress and strain, throughout the evolution of the structure, and a satisfactory agreement is observed with the physical solution that is known a priori

1 :	Laboratoire de systèmes et de mécanique appliquée
	Ecole Polytechnique de Tunisie
2 :	Laboratoire sols, solides, structures - risques (3S-R)
	CNRS : UMR5521 – Institut National Polytechnique de Grenoble - INPG – Université Joseph Fourier - Grenoble I

Domaine

:

Sciences de l'ingénieur/Mécanique/Mécanique des matériaux Physique/Mécanique/Mécanique des matériaux

Mots Clés : granular media – statistical mechanics – statistical entropy – micro-macro transition – Lagrangian duality

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Contributeur : Mayeul Arminjon <>

Soumis le : Mardi 30 Janvier 2007, 15:10:32

Dernière modification le : Mardi 30 Janvier 2007, 15:11:08