Authors
Matthew R Kuhn, Florent Prunier, Ali Daouadji
Publication date
2019/4/10
Journal
International Journal for Numerical and Analytical Methods in Geomechanics
Volume
43
Issue
5
Pages
888-918
Description
The paper develops the stiffness relationship between the movements and forces among a system of discrete interacting grains. The approach is similar to that used in structural analysis, but the stiffness matrix of granular material is inherently nonsymmetric because of the geometrics of particle interactions and of the frictional behavior of the contacts. Internal geometric constraints are imposed by the particles' shapes, in particular, by the surface curvatures of the particles at their points of contact. Moreover, the stiffness relationship is incrementally nonlinear, and even small assemblies require the analysis of multiple stiffness branches, with each branch region being a pointed convex cone in displacement space. These aspects of the particle‐level stiffness relationship give rise to three types of microscale failure: neutral equilibrium, bifurcation and path instability, and instability of equilibrium. These three pathologies …
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Scholar articles
MR Kuhn, F Prunier, A Daouadji - International Journal for Numerical and Analytical …, 2019