ABSTRACT

Abstract A generalised continuum model for granular media is derived by direct homogenisation o f the discrete equations o f motion. In contrast to previous works on this topic, continuum concepts such as stress and moment stress are introduced after homogenisation. The resulting continuum theory is a combination of a Cosserat Continuum and a higher order deformation gradient continuum. The salient features of the theory are illustrated by means of the dispersion relations for planar wave propagation.