Comptes Rendus
no. 3
Some micromechanical aspects of failure in granular materials based on second-order work
François Nicot1  ; Nejib Hadda1 ; Luc Sibille2 ; Farhang Radjai3 ; Pierre-Yves Hicher4 ; Félix Darve5
1 Irstea, domaine universitaire, 2, rue de la Papeterie, 38400 Saint-Martin-d'Hères cedex, France
2 Institut de recherche en génie civil et mécanique, Université de Nantes, ECN-CNRS, Nantes, France
3 Laboratoire de mécanique et de génie civil, Université de Montpellier, Montpellier, France
4 Institut de recherche en génie civil et mécanique, École centrale de Nantes, Nantes, France
5 UJF-INPG-CNRS, Laboratoire Sols Solides Structures Risques, Grenoble, France
Comptes Rendus. Mécanique, Volume 342 (2014) no. 3, pp. 174-188.

This paper discusses the notion of failure in a granular assembly by examining the key microstructural mechanisms which are most likely to trigger the nucleation and propagation of instabilities within a granular material. For this purpose, the key variable to predict the occurrence of failure, known as second-order work, is expressed from variables on the grain scale. The local behaviour incidents (where contacts may open or slide), compared to the global response of the assembly, are analysed by two approaches. First, numerical computations made by a discrete element model confirm the microscopic definition of the second-order work. Secondly, a micromechanical model, based on a homogenization procedure, relating the macroscopic behaviour to microscopic ingredients, namely contact planes, points to a close link between the occurrence of failure on the macroscopic scale as well as on the contact planes.

Publié le :
DOI : 10.1016/j.crme.2014.01.006
Mots clés : Stress, Large deformations, Second-order work, Granular materials, Homogenization, Multiscale, Micromechanics, Microstructure
François Nicot 1 ; Nejib Hadda 1 ; Luc Sibille 2 ; Farhang Radjai 3 ; Pierre-Yves Hicher 4 ; Félix Darve 5

1 Irstea, domaine universitaire, 2, rue de la Papeterie, 38400 Saint-Martin-d'Hères cedex, France
2 Institut de recherche en génie civil et mécanique, Université de Nantes, ECN-CNRS, Nantes, France
3 Laboratoire de mécanique et de génie civil, Université de Montpellier, Montpellier, France
4 Institut de recherche en génie civil et mécanique, École centrale de Nantes, Nantes, France
5 UJF-INPG-CNRS, Laboratoire Sols Solides Structures Risques, Grenoble, France 
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     title = {Some micromechanical aspects of failure in granular materials based on second-order work},
     journal = {Comptes Rendus. M\'ecanique},
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François Nicot; Nejib Hadda; Luc Sibille; Farhang Radjai; Pierre-Yves Hicher; Félix Darve. Some micromechanical aspects of failure in granular materials based on second-order work. Comptes Rendus. Mécanique, Volume 342 (2014) no. 3, pp. 174-188. doi : 10.1016/j.crme.2014.01.006. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.01.006/

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