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The stress transmission universality classes of periodic granular arrays

Author

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  • Ball, R.C.
  • Grinev, D.V.

Abstract

The transmission of stress is analysed for static periodic arrays of rigid grains, with perfect and zero friction. For minimal coordination number (which is sensitive to friction, sphericity and dimensionality), the stress distribution is soluble without reference to the corresponding displacement fields. In non-degenerate cases, the constitutive equations are found to be simple linear in the stress components. The corresponding coefficients depend crucially upon geometrical disorder of the grain contacts.

Suggested Citation

  • Ball, R.C. & Grinev, D.V., 2001. "The stress transmission universality classes of periodic granular arrays," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 292(1), pages 167-174.
  • Handle: RePEc:eee:phsmap:v:292:y:2001:i:1:p:167-174
    DOI: 10.1016/S0378-4371(00)00580-X
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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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    Keywords

    Stress; Granular materials;

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