Quasistatic rheology and the origins of strain
- 1 January 2002
- journal article
- Published by Cellule MathDoc/CEDRAM in Comptes Rendus Physique
- Vol. 3 (2), 131-140
- https://doi.org/10.1016/s1631-0705(02)01306-3
Abstract
Features of rheological laws applied to solid-like granular materials are recalled and confronted to microscopic approaches via discrete numerical simulations. We give examples of model systems with very similar equilibrium stress transport properties—the much-studied force chains and force distribution—but qualitatively different strain responses to stress increments. Results on the stability of elastoplastic contact networks lead to the definition of two different rheological regimes, according to whether a macroscopic fragility property (propensity to rearrange under arbitrary small stress increments in the thermodynamic limit) applies. Possible consequences are discussed. To cite this article: J.-N. Roux, G. Combe, C. R. Physique 3 (2002) 131–140. On confronte l'approche microscopique par simulation numérique discrète des matériaux granulaires de type solide à leurs propriétés rhéologiques macroscopiques. On cite des systèmes modèles dont les réponses, en déformation, à un incrément de contrainte diffèrent qualitativement, bien que la répartition des efforts l'équilibre soit très similaire. Des résultats sur la sensibilité aux perturbations des réseaux de contact élastoplastiques permettent de distinguer deux régimes rhéologiques, selon que leurs intervalles de stabilité, en termes de contraintes, se réduisent ou non à zéro dans la limite thermodynamique ( « fragilité' » macroscopique). On en évoque de possibles conséquences. Pour citer cet article : J.-N. Roux, G. Combe, C. R. Physique 3 (2002) 131–140.This publication has 18 references indexed in Scilit:
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