Bifurcation in granular materials: An attempt for a unified framework

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:46

Article

Nicot, Francois¹  Sibille, Luc²  Darvec, Felix³ 

[1] Irstea, Unite Rech Eros Torrentielle Neige & Avalanches, Grenoble, France

[2] Univ Nantes, Inst Rech Genie Civil & Mecan, ECN CNRS, Nantes, France

[3] UJF INPG CNRS, Lab Sols Solides Struct, Grenoble, France

关键词: Bifurcation;    Constitutive uniqueness;    Loss of controllability;    Loss of sustainability;    Second-order work;    Control parameters;    Granular materials;   

DOI  :  10.1016/j.ijsolstr.2009.07.008

来源: Elsevier

【 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.

【 授权许可】

Free