Discrete models of force chain networks
Abstract
A fundamental property of any material is its response to a localized stress applied at a boundary. For granular materials consisting of hard, cohesionless particles, not even the general form of the stress response is known. Directed force chain networks (DFCNs) provide a theoretical framework for addressing this issue, and analysis of simplified DFCN models reveal both rich mathematical structure and surprising properties. We review some basic elements of DFCN models and present a class of homogeneous solutions for cases in which force chains are restricted to lie on a discrete set of directions.
Keywords
Cite
@article{arxiv.cond-mat/0212162,
title = {Discrete models of force chain networks},
author = {Joshua E. S. Socolar},
journal= {arXiv preprint arXiv:cond-mat/0212162},
year = {2007}
}
Comments
17 pages, 6 figures, dcds-B.cls; Minor corrections to version 2, but including an important factor of 2; Submitted to Discrete and Continuous Dynamical Systems B for special issue honoring David Schaeffer