Investigation of the incremental response of soils using a discrete element model

Details Investigation of the incremental response of soils using a discrete element model Investigation of the incremental response of soils using a discrete element model

2004-03-01

arxiv.org/abs/cond-mat/0403065v1

Physics

Condensed Matter

Materials Science

Journal of Engineering Mathematics. Special issue on Mathematics and Mechanics of Granular Media

Scientific paper

The incremental stress-strain relation of dense packings of polygons is investigated here by using molecular dynamics simulations. The comparison of the simulation results to the continuous theories is performed using explicit expressions for the averaged stress and strain over a representative volume element. The discussion of the incremental response raises two important questions of soil deformation: Is the incrementally non-linear theory appropriate to describe the soil mechanical response? Does a purely elastic regime exists in the deformation of granular materials?. In both cases our answer will be "no". The question of stability is also discussed in terms of the Hill condition of stability for non-associated materials.

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