Statistical mechanics of stress transmission in disordered granular arrays

被引：111

作者：

Edwards, SF ^{[1
]}

Grinev, DV ^{[1
]}

机构：

[1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England

来源：

PHYSICAL REVIEW LETTERS | 1999年 / 82卷 / 26期

关键词：

D O I：

10.1103/PhysRevLett.82.5397

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a statistical-mechanical theory of stress transmission in disordered arrays of rigid grains with perfect friction. Starting from the equations of microscopic force and torque balance we derive the fundamental equations of stress equilibrium. We illustrate the validity of our approach by solving the stress distribution of a homogeneous and isotropic array.

引用

页码：5397 / 5400

页数：4

共 11 条

[1]

BALL RC, CONDMAT9810124

[2] Jamming, force chains, and fragile matter [J].

Cates, ME ;

Wittmer, JP ;

Bouchaud, JP ;

Claudin, P .

PHYSICAL REVIEW LETTERS, 1998, 81 (09) :1841-1844

[3] Model for force fluctuations in bead packs [J].

Coppersmith, SN ;

Liu, C ;

Majumdar, S ;

Narayan, O ;

Witten, TA .

PHYSICAL REVIEW E, 1996, 53 (05) :4673-4685

[4] Granular solids, liquids, and gases [J].

Jaeger, HM ;

Nagel, SR ;

Behringer, RP .

REVIEWS OF MODERN PHYSICS, 1996, 68 (04) :1259-1273

[5] FORCE FLUCTUATIONS IN BEAD PACKS [J].

LIU, CH ;

NAGEL, SR ;

SCHECTER, DA ;

COPPERSMITH, SN ;

MAJUMDAR, S ;

NARAYAN, O ;

WITTEN, TA .

SCIENCE, 1995, 269 (5223) :513-515

[6]

MEHTA A, 1993, GRANULAR MATTER INTE

[7] Stress fluctuations for continuously sheared granular materials [J].

Miller, B ;

OHern, C ;

Behringer, RP .

PHYSICAL REVIEW LETTERS, 1996, 77 (15) :3110-3113

[8] Force distribution in a granular medium [J].

Mueth, DM ;

Jaeger, HM ;

Nagel, SR .

PHYSICAL REVIEW E, 1998, 57 (03) :3164-3169

[9]

Nedderman R., 1992, Statics and kinematics of granular materials

[10]

Wittmer JP, 1997, J PHYS I, V7, P39, DOI 10.1051/jp1:1997126

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