Abstract
This paper discusses the capabilities of two homogenization techniques to accurately represent the elastic behavior of granular materials considered as assemblies of randomly distributed particles. The stress-strain relationship for the assembly is determined by integrating the behavior of the interparticle contacts in all orientations, using two different homogenization methods, namely the kinematic method and the static method. The numerical predictions obtained by these two homogenization techniques are compared to results obtained during experimental studies on different granular materials. Relations between elastic constants of the assembly, interparticle properties, and fabric parameters are discussed, as well as the capabilities of the models to take into account inherent and stress-induced anisotropy for different stress conditions.
Highlights
A granular material can be considered as a collection of particles of different sizes and shapes
A second model was developed using a static hypothesisCambou et al 1995; Chang and Gao 1996; Liao et al 1997͒, which relates the average stress of the granular assembly to a mean field of particle contact forces
In order to demonstrate how the models are able to take into account an inherent anisotropy, two examples were selected from experimental results obtained by Hoque and Tatsuoka1998͒ on different granular materials
Summary
A granular material can be considered as a collection of particles of different sizes and shapes. The predictions of the two models under different stress loading conditions will be compared to experimental results obtained from different granular materials. The stress-strain relationship for an assembly can be determined from integrating the behavior of interparticle contacts in all orientations.
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