Local stress analysis in granular materials at a mesoscale

摘要: The purpose of this paper is to contribute the change scale techniques developed for granular materials. proposed approach consists in considering an intermediate between macroscales and microscales, called mesoscale, using classical homogenization scheme. In approach, mesoscale 2D materials was defined at level local volumes, mesodomains, which are closed structures composed particles contact. paper, we focused on defining a stress field scale. Two different methods proposed, both based equivalent continuum mean but approximations tensor each mesodomain. two were then compared other. Analyses performed show that heterogeneous and, particular, its heterogeneity significantly structured distribution (first invariant tensor) uniform any mesodomain, whereas deviator (second deviatoric part dependent elongation direction degree mesodomains. ratio (ratio stress) higher within mesodomains elongated global compression than ones extension direction.