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An enhanced constitutive model for crushable granular materials
Authors:Ali Daouadji  Pierre‐Yves Hicher
Institution:1. Laboratoire de Physique et Mécanique des Matériaux, Université Paul Verlaine—Metz, UMR CNRS 7554, Ile du Saulcy BP 80794, 57012 Metz cedex, France;2. Ecole Centrale de Nantes, Institut de Recherche en Génie Civil et Mécanique, UMR CNRS 6183, 1 rue de la No? BP 92101, 44321 Nantes cedex 3, France
Abstract:Studies in the past have tried to reproduce the mechanical behaviour of granular materials by proposing constitutive relations based on a common assumption that model parameters and parameters describing the properties, including gradation of individual grains are inevitably linked. However successful these models have proved to be, they cannot account for the changes in granular assembly behaviour if the grains start to break during mechanical loading. This paper proposes to analyse the relation between grading change and the mechanical behaviour of granular assembly. A way to model the influence of grain breakage is to use a critical state‐based model. The influence of the amount of grain breakage during loading, depending on the individual grain strength and size distribution, can be introduced into constitutive relations by means of a new parameter that controls the evolution of critical state with changes in grain size distribution. Experimental data from a calcareous sand, a quartz sand, and a rockfill material were compared with numerical results and good‐quality simulations were obtained. The main consequences of grain breakage are increased compressibility and a gradual dilatancy disappearance in the granular material. The critical state concept is also enriched by considering its overall relation to the evolution of the granular material. Copyright © 2009 John Wiley & Sons, Ltd.
Keywords:grain breakage  crushable granular material  high stresses  grading change  enhanced critical state concept
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