ABSTRACT
This paper is dedicated to the understanding of the phenomena which give rise to anisotropy and non-coaxiality in granular materials. A method of multiscale analysis based on mathematical homogenization theory has been developed for quasi-static equilibrium problems of granular media. It is formulated as two separate boundary value problems at macro- and micro-scales, which enables us to obtain the macro-scopic/phenomenological inelastic deformation response of a representative volume element (RVE). To examine the anisotropic macroscopic deformation properties of the assumed RVE, which is solved by granular element method, a series of numerical experiments involving the pure rotation of the principal stress axes are carried out, and its results are discussed in relation to induced anisotropy.
