Statistical mechanics of stress transmission in disordered granular arrays

被引:107
作者
Edwards, SF [1 ]
Grinev, DV [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Cambridge CB3 0HE, England
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
收藏
页码:5397 / 5400
页数:4
相关论文
共 11 条
  • [1] BALL RC, CONDMAT9810124
  • [2] Jamming, force chains, and fragile matter
    Cates, ME
    Wittmer, JP
    Bouchaud, JP
    Claudin, P
    [J]. PHYSICAL REVIEW LETTERS, 1998, 81 (09) : 1841 - 1844
  • [3] Model for force fluctuations in bead packs
    Coppersmith, SN
    Liu, C
    Majumdar, S
    Narayan, O
    Witten, TA
    [J]. PHYSICAL REVIEW E, 1996, 53 (05): : 4673 - 4685
  • [4] Granular solids, liquids, and gases
    Jaeger, HM
    Nagel, SR
    Behringer, RP
    [J]. REVIEWS OF MODERN PHYSICS, 1996, 68 (04) : 1259 - 1273
  • [5] FORCE FLUCTUATIONS IN BEAD PACKS
    LIU, CH
    NAGEL, SR
    SCHECTER, DA
    COPPERSMITH, SN
    MAJUMDAR, S
    NARAYAN, O
    WITTEN, TA
    [J]. SCIENCE, 1995, 269 (5223) : 513 - 515
  • [6] MEHTA A, 1993, GRANULAR MATTER INTE
  • [7] Stress fluctuations for continuously sheared granular materials
    Miller, B
    OHern, C
    Behringer, RP
    [J]. PHYSICAL REVIEW LETTERS, 1996, 77 (15) : 3110 - 3113
  • [8] Force distribution in a granular medium
    Mueth, DM
    Jaeger, HM
    Nagel, SR
    [J]. 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