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The statistical-mechanical theory of stress transmission in granular materials

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  • Edwards, S.F.
  • Grinev, D.V.

Abstract

We propose a statistical-mechanical theory of stress transmission in disordered arrays of rigid grains with perfect friction. Starting from the equations of intergranular force and torque balance we derive the fundamental equations that govern the propagation of stress through an aggregate. We illustrate the validity of our approach on two simple geometries.

Suggested Citation

  • Edwards, S.F. & Grinev, D.V., 1999. "The statistical-mechanical theory of stress transmission in granular materials," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 545-553.
    • Handle: RePEc:eee:phsmap:v:263:y:1999:i:1:p:545-553
    DOI: 10.1016/S0378-4371(98)00496-8
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    References listed on IDEAS

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    1. Edwards, S.F. & Mounfield, C.C., 1996. "A theoretical model for the stress distribution in granular matter. I. Basic equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 1-11.
    2. Mounfield, C.C. & Edwards, S.F., 1996. "A theoretical model for the stress distribution in granular matter. II. Forces in pipes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 12-24.
    3. Edwards, S.F. & Mounfield, C.C., 1996. "A theoretical model for the stress distribution in granular matter. III. Forces in sandpiles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 226(1), pages 25-33.
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    Cited by:

    1. Zhang, Xinggang & Dai, Dan, 2020. "Governing equations for stress distribution in rhombic disk packings," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 558(C).

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