2004/03/01 by F. Alonso-Marroquín, Alonso-Marroquín, F., H. J. Herrmann +1
Physics and Astronomy · #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #cond-mat.mtrl-sci
paper · pdf · doi:10.48550/arxiv.cond-mat/0403065
Journal of Engineering Mathematics. Special issue on Mathematics and Mechanics of Granular Media
arxiv created 2004/03/01 · arxiv updated 2016/08/16
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.