Homogenization based Two scale Finite Element Simulation for Compactions of Visco plastic Granular Assemblies

Abstract:

A homogenization based two scale finite element method is developed to simulate compactions of visco plastic granular assemblies. The new method is used to develop macro constitutive relationships in light of microscopic behavior. At the microscopic level, governing equations for the motion and deformation of particles, including coupling of rigid body motion and deformation of deformable bodies, are investigated. And an implicit fine scale finite element model for granular media is developed to perform visco plastic analysis for the assemblies. At the global scale level, the homogenized standard continuum is analyzed using a coarse scale finite element model. To verify the accuracy and efficiency of the numerical method, a numerical example is simulated, and the results are in satisfactory agreement with the experimental results in the literature. This method can be used in a variety of problems that can be represented using granular media, such as asphalt, polymers, aluminum, snow, and food products.