Modeling of Discrete Granulates as Micropolar Continua
Publication: Journal of Engineering Mechanics
Volume 116, Issue 12
Abstract
Granular material perceived as a collection of particles is modeled as a macrocontinuum. The model takes into account the effects of microdiscreteness and the interparticle contact properties in the system. With consideration of particle rotation, the continuum model for granular solid is found to be of micropolar type. The derived constitutive law of the material includes variables of Cauchy stress, polar stress, deformation strain, and polar strain. Considering the effect of particle interaction, the stresses are defined in terms of interparticle contact forces and contact couples. The constitutive coefficients are derived explicitly in terms of the interparticle contact stiffness. Using the derived stress‐strain relationships, a solution procedure based on variational principle is applied to obtain solutions for boundary value problems. Examples of boundary value problems are shown for particle assemblies with elastic contact interaction. The results are compared with those obtained from a discrete element method to demonstrate the applicability of this method.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 116 • Issue 12 • December 1990
Pages: 2703 - 2721
Copyright
Copyright © 1990 ASCE.
History
Published online: Dec 1, 1990
Published in print: Dec 1990
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