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The incremental stiffness of an assembly of particles

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Summary

The problem of fairly densily packed particles with rate independent though otherwise arbitrary interaction is investigated in two dimensions. It is shown that slow changes in a statistically uniform medium in the pre-failure deformation state can be described by a stiffness tensor. An approximate expression for this tensor is obtained from first principles. The connection with the perfectly random heterogeneous medium is established. A simple example for round rough particles in an isotropic packing of four contacts is given.

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Authors and Affiliations

  1. Department of Applied Physics, Kingston Polytechnic, Penrhyn Road, KT1 2EE, Kingston upon Thames, Surrey, England

    M. A. Koenders

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  1. M. A. Koenders
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Koenders, M.A. The incremental stiffness of an assembly of particles. Acta Mechanica 70, 31–49 (1987). https://doi.org/10.1007/BF01174645

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  • DOI: https://doi.org/10.1007/BF01174645

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