DEVELOPMENT AND VERIFICATION OF ENERGY SUPPRESSION SCHEME FOR THE MATERIAL POINT METHOD

Abstract

 Material Point Method (MPM) is one of the mesh-free or grid-free numerical methods. In recent years, the MPM has been applied to the Geotechnical field because we may simulate easily for large deformation phenomena of ground with the exact Dirichlet boundary conditions by using this method. However, some inexplicable fluctuations of elastic energy have often occurred in the MPM simulations. In this paper, we propose a novel numerical technique in order to suppress the energy fluctuation phenomena. In this technique the Moving Least Squares Method is applied to the strain field of particles as a smoothing interpolation scheme. In order to verify the proposed technique, we showed some comparative studies in the dynamic problems.