Application of Uniform Strain Theory to Heterogeneous Granular Solids

Abstract

The micro‐ and the macro‐mechanical measures of heterogeneous granular solids are investigated using two methods, namely a computer simulation method, and a micro‐structural continuum method. The micro‐structural continuum method used in this study is based on a uniform strain assumption. The applicability of the uniform strain assumption is evaluated by comparing the results from the micro‐structural continuum method to those from the computer simulation method. Two types of granular solids, viz. with linear bonded contacts and with nonlinear frictional contacts, are studied to investigate the influence of contact behavior on the heterogeneity of the strain field. It is observed that packings with bonded contacts have a reasonably homogeneous strain field, implying that the uniform strain assumption is applicable for this condition. Packings with frictional contacts have a heterogeneous strain field, except at low levels of deviatoric stress. The natures of inhomogeneity for the particle rotation, stress, and contact force fields in granular solids are also discussed.