Bifurcation in granular materials: An attempt for a unified framework

作     者：Nicot, Francois Sibille, Luc Darvec, Felix 

作者机构：Irstea Unite Rech Eros Torrentielle Neige & Avalanches Grenoble France Univ Nantes Inst Rech Genie Civil & Mecan ECN CNRS Nantes France UJF INPG CNRS Lab Sols Solides Struct Grenoble France 

出 版 物：《INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES》 (国际固体与结构杂志)

年 卷 期：2009年第46卷第22-23期

页      面：3938-3947页

核心收录：

学科分类：08[工学] 0801[工学-力学（可授工学、理学学位）] 080102[工学-固体力学] 

基　　金：European project LESSLOSS French national (ANR) projects SIGMA STABROCK Snow-White 

主　　题：Bifurcation Constitutive uniqueness Loss of controllability Loss of sustainability Second-order work Control parameters Granular materials 

摘      要：Sudden collapse mechanisms strictly inside the Mohr-Coulomb plastic limit condition have been observed in granular materials in the laboratory as well as in the field. The purpose of this paper is to show that the theoretical framework of loss of sustainability is convenient to describe such mechanisms. In this context, the notions of both loading and response variables, which characterize the loading path applied to the specimen considered and its response path, are fundamental. Moreover, by investigating the relation between loading and response parameters, it is established that this framework also embeds the notions of loss of constitutive uniqueness and loss of controllability. Therefore, a unified approach is attempted. Finally, by highlighting the basic role played by the loading parameters, the vanishing of the second-order work is shown to be a proper criterion to detect the occurrence of a bifurcation from a quasi-static regime to a dynamic regime leading to the collapse of the material. (C) 2009 Elsevier Ltd. All rights reserved.