On the definition of the stress tensor in granular media

被引:91
作者
Nicot, Francois [1 ]
Hadda, Nejib [1 ]
Guessasma, Mohamed [2 ]
Fortin, Jerome [2 ]
Millet, Olivier [3 ]
机构
[1] IRSTEA, Grenoble, France
[2] LTI, St Quentin en Yvelines, France
[3] Univ La Rochelle, LaSIE, La Rochelle, France
关键词
Stress; Granular materials; Homogenization; Micromechanics; Microstructure; Discrete element method; Inertial effects; MEAN STRESS; ASSEMBLIES; DYNAMICS;
D O I
10.1016/j.ijsolstr.2013.04.001
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
This paper investigates the definition of the stress tensor within a granular assembly, when inertial effects are likely to occur. It is shown that the stress tensor can be expressed as a sum of two terms. A first term corresponds to the standard definition of the stress, according to the Love-Weber formula; this term is related to the contact forces existing within adjoining particles. A second term accounts for dynamic effects related to rotation velocities and accelerations of the particles. These results are checked from discrete numerical simulations in order to examine in which context the contribution of inertial effects should not be omitted. With this aim, the simulation of a granular specimen collapse and then a silo discharge is considered. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2508 / 2517
页数:10
相关论文
共 23 条
[1]   Microstructural stress tensor of granular assemblies with volume forces [J].
Bagi, K .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1999, 66 (04) :934-936
[2]   The asymmetry of stress in granular media [J].
Bardet, JP ;
Vardoulakis, I .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2001, 38 (02) :353-367
[3]   On the definition of an average strain tensor for two-dimensional granular material assemblies [J].
Bonelli, S. ;
Millet, O. ;
Nicot, F. ;
Rahmoun, J. ;
De Saxce, G. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2012, 49 (7-8) :947-958
[4]  
Cambou B, 1998, BEHAV GRANULAR MAT, P170
[5]   A MICROMECHANICAL DESCRIPTION OF GRANULAR MATERIAL BEHAVIOR [J].
CHRISTOFFERSEN, J ;
MEHRABADI, MM ;
NEMATNASSER, S .
JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME, 1981, 48 (02) :339-344
[6]  
Cundall P., 1987, Analytical and computational methods in engineering rock mechanics, V4, P129
[7]   DISCRETE NUMERICAL-MODEL FOR GRANULAR ASSEMBLIES [J].
CUNDALL, PA ;
STRACK, ODL .
GEOTECHNIQUE, 1979, 29 (01) :47-65
[8]   About the numerical simulation of the dynamics of granular media and the definition of the mean stress tensor [J].
de Saxcé, G ;
Fortin, J ;
Millet, O .
MECHANICS OF MATERIALS, 2004, 36 (12) :1175-1184
[9]   The bipotential method: A constructive approach to design the complete contact law with friction and improved numerical algorithms [J].
De Saxce, G ;
Feng, ZQ .
MATHEMATICAL AND COMPUTER MODELLING, 1998, 28 (4-8) :225-245
[10]  
DESAXCE G, 1992, CR ACAD SCI II, V314, P125