Spatial memories and correlation functions in the theory of stress distribution in granular materials-->

Abstract

The problem of calculating stress distributions in granular materials is addressed via a formalism involving spatial memories. The stochastic origin of the memories is explained and the connection of the memories to correlation functions in the granular system are clarified in several ways: via stochastic considerations, through effective medium arguments, and by generalization of existing constitutive relations. It is indicated how to unify existing theories in the literature with the help of the memory formalism and how to apply the theory to compaction in dies to explain observed oscillations in the stress.