The stress response in confined arrays of frictional and frictionless particles

被引：4

作者：

Cakir, Abdullah ^{[1
]}

Silbert, Leonardo E. ^{[1
]}

机构：

[1] So Illinois Univ, Dept Phys, Carbondale, IL 62901 USA

来源：

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT | 2011年

基金：

美国国家科学基金会;

关键词：

granular matter; elasticity (theory);

D O I：

10.1088/1742-5468/2011/08/P08005

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

Stress transmission inside three-dimensional granular packings is investigated using computer simulations. Localized force perturbation techniques are implemented for frictionless and frictional shallow, ordered, granular arrays confined by solid boundaries for a range of system sizes. Stress response profiles for frictional packings agree well with the predictions for the semi-infinite half-plane of classical isotropic elasticity theory down to boxes of linear dimensions of approximately forty particle diameters and over several orders of magnitude in the applied force. The response profiles for frictionless packings exhibit a regime of transition to strongly anisotropic features with increasing box size. The differences between the natures of the stress responses are shown to be characterized by very different particle displacement fields.

引用

页数：19

共 28 条

[1] Numerical and experimental studies of the base pressures beneath stockpiles [J].

Ai, J. ;

Chen, J. F. ;

Rotter, J. M. ;

Ooi, J. Y. .

GRANULAR MATTER, 2011, 13 (02) :133-141

[2]

Allen M. P., 1989, Computer Simulation of Liquids, DOI DOI 10.1007/BF00646086

[3] Response of a noncohesive packing of grains to a localized force: Deviation from continuum elasticity [J].

Amar, El Hadji Bouya ;

Clamond, D. ;

Fraysse, N. ;

Rajchenbach, J. .

PHYSICAL REVIEW E, 2011, 83 (02)

[4] Love's problem [J].

Becker, JM ;

Bevis, M .

GEOPHYSICAL JOURNAL INTERNATIONAL, 2004, 156 (02) :171-178

[5]

BOUCHAUD JP, 1995, J PHYS I, V5, P639, DOI 10.1051/jp1:1995157

[6] Jammed frictionless disks: Connecting local and global response [J].

Ellenbroek, Wouter G. ;

van Hecke, Martin ;

van Saarloos, Wim .

PHYSICAL REVIEW E, 2009, 80 (06)

[7] Footprints in sand:: The response of a granular material to local perturbations -: art. no. 035506 [J].

Geng, JF ;

Howell, D ;

Longhi, E ;

Behringer, RP ;

Reydellet, G ;

Vanel, L ;

Clément, E ;

Luding, S .

PHYSICAL REVIEW LETTERS, 2001, 87 (03) :35506-1

[8] Scale separation in granular packings: Stress plateaus and fluctuations [J].

Goldenberg, C ;

Atman, APF ;

Claudin, P ;

Combe, G ;

Goldhirsch, I .

PHYSICAL REVIEW LETTERS, 2006, 96 (16)

[9] Friction enhances elasticity in granular solids [J].

Goldenberg, C ;

Goldhirsch, I .

NATURE, 2005, 435 (7039) :188-191

[10] Force chains, microelasticity, and macroelasticity [J].

Goldenberg, C ;

Goldhirsch, I .

PHYSICAL REVIEW LETTERS, 2002, 89 (08)

← 1 2 3 →