Kinematic and static assumptions for homogenization in micromechanics of granular materials

  • Kruyt N
  • Rothenburg L
  • 42

    Readers

    Mendeley users who have this article in their library.
  • 60

    Citations

    Citations of this article.

Abstract

A study is made of kinematic and static assumptions for homogenization in micromechanics of granular materials for two cases. The first case considered deals with the elastic behaviour of isotropic, two-dimensional assemblies with bonded contacts. Using a minimum potential energy principle and estimated particle displacement and rotation fields, upper bounds for the elastic moduli are obtained that are an improvement over those obtained from the uniform strain assumption. The estimated displacement and rotation fields are determined from an approximate, local equilibrium argument. The second, more general case considered deals with biaxial deformation of two-dimensional non-bonded, frictional assemblies. Static and kinematic homogenization assumptions lead to micromechanical expressions for the shear strength and the dilatancy rate in terms of contact quantities. These expressions show that the dilatancy rate is determined primarily by geometrical anisotropy. © 2004 Elsevier Ltd. All rights reserved.

Author-supplied keywords

  • Anisotropy
  • Bounds
  • Dilatancy
  • Elasticity
  • Granular materials
  • Homogenization
  • Micromechanics

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Authors

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free