Second-order work analysis for granular materials using a multiscale approach | Travail du second ordre dans les matériaux granulaires en utilisant une approche multi-échelle
2013
Nicot, François | Hadda, N. | Darve, F. | Erosion torrentielle neige et avalanches (UR ETGR (ETNA)) ; Institut national de recherche en sciences et technologies pour l'environnement et l'agriculture (IRSTEA) | Laboratoire sols, solides, structures - risques [Grenoble] (3SR) ; Université Joseph Fourier - Grenoble 1 (UJF)-Institut polytechnique de Grenoble - Grenoble Institute of Technology (Grenoble INP)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS) | French Research Network MeGe : GDR CNRS 3176
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Показать больше [+] Меньше [-]Английский. It has been established that the second-order work criterion is a general necessary condition for all instabilities by divergence in rate-independent granular materials. The relation between the values of discrete second order-work at the intergranular contact point level and its global macroscopic value is recalled at the beginning of this paper. Then the basic purpose of the paper is tackled by an analysis of the main features of second-order work criterion in relation with the granular micro-structure. For that it is considered a novel micro-mechanical model (so-called “H-microdirectional model”), which has the property to involve three scales: grain scale, meso-scale with a specific granular configuration, and continuum mechanics macro-scale. Eventually these exhibited features (a bifurcation stress domain and some instability cones) are qualitatively compared to the ones provided by direct numerical simulations issued from a discrete element model. The ultimate goal is to analyse what happens at the granular scale, when the macro second order work is vanishing at the macro level.
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