The Stress Transmission Universality Classes of Periodic Granular Arrays

Details The Stress Transmission Universality Classes of Periodic Granular Arrays The Stress Transmission Universality Classes of Periodic Granular Arrays

1998-10-09

arxiv.org/abs/cond-mat/9810124v3

Physica A 292,No.1-4, 167-174 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

7 pages, 1 figure

Scientific paper

10.1016/S0378-4371(00)00580-X

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.

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