On incremental non-linearity in granular media: phenomenological and multi-scale views (Part I)

@article{citeulike:1108634, abstract = {On the basis of fundamental constitutive laws such as elasticity, perfect plasticity, and pure viscosity, many elasto-viscoplastic constitutive relations have been developed since the 1970s through phenomenological approaches. In addition, a few more recent micro-mechanical models based on multi-scale approaches are now able to describe the main macroscopic features of the mechanical behaviour of granular media. The purpose of this paper is to compare a phenomenological constitutive relation and a micro-mechanical model with respect to a basic issue regularly raised about granular assemblies: the incrementally non-linear character of their behaviour. It is shown that both phenomenological and micro-mechanical models exhibit an incremental non-linearity. In addition, the multi-scale approach reveals that the macroscopic incremental non-linearity could stem from the change in the regime of local contacts between particles (from plastic regime to elastic regime) in terms of the incremental macroscopic loading direction. Copyright {\copyright} 2005 John Wiley \& Sons, Ltd.}, address = {Laboratoire Sols Solides Structures, UJF-INPG-CNRS, Grenoble, France; Cemagref de Grenoble, Unit\'{e} de Recherche Erosion Torrentielle Neige et Avalanches, Domaine Universitaire, BP 76, F38402-St. Martin d'Heres Cedex, France; RNVO Research Group (Natural Hazards and Structure Vulnerability), France}, author = {Darve, F\'{e}lix and Nicot, François }, citeulike-article-id = {1108634}, doi = {10.1002/nag.466}, journal = {International Journal for Numerical and Analytical Methods in Geomechanics}, keywords = {granular, nonlinear}, number = {14}, pages = {1387--1409}, posted-at = {2007-02-15 16:40:16}, priority = {2}, title = {On incremental non-linearity in granular media: phenomenological and multi-scale views (Part I)}, url = {http://dx.doi.org/10.1002/nag.466}, volume = {29}, year = {2005} }

TY - JOUR ID - citeulike:1108634 L3 - citeulike-article-id:1108634 TI - On incremental non-linearity in granular media: phenomenological and multi-scale views (Part I) JF - International Journal for Numerical and Analytical Methods in Geomechanics VL - 29 IS - 14 SP - 1387 EP - 1409 AD - Laboratoire Sols Solides Structures, UJF-INPG-CNRS, Grenoble, France; Cemagref de Grenoble, Unité de Recherche Erosion Torrentielle Neige et Avalanches, Domaine Universitaire, BP 76, F38402-St. Martin d'Heres Cedex, France; RNVO Research Group (Natural Hazards and Structure Vulnerability), France N2 - On the basis of fundamental constitutive laws such as elasticity, perfect plasticity, and pure viscosity, many elasto-viscoplastic constitutive relations have been developed since the 1970s through phenomenological approaches. In addition, a few more recent micro-mechanical models based on multi-scale approaches are now able to describe the main macroscopic features of the mechanical behaviour of granular media. The purpose of this paper is to compare a phenomenological constitutive relation and a micro-mechanical model with respect to a basic issue regularly raised about granular assemblies: the incrementally non-linear character of their behaviour. It is shown that both phenomenological and micro-mechanical models exhibit an incremental non-linearity. In addition, the multi-scale approach reveals that the macroscopic incremental non-linearity could stem from the change in the regime of local contacts between particles (from plastic regime to elastic regime) in terms of the incremental macroscopic loading direction. Copyright © 2005 John Wiley & Sons, Ltd. KW - granular KW - nonlinear AU - Darve, Félix AU - Nicot, François PY - 2005/// UR - http://dx.doi.org/10.1002/nag.466 ER -