Application of symplectic scheme to three-dimensional elastic analysis using MPS method

Abstract

A calculation method for three-dimensional elastic solid analysis is proposed using the Moving Particle Semi-implicit method (MPS). The angular velocities and the rotation angles of each particle are implicitly calculated from the velocities and coordinates of the neighbor particles respectively. Large deformation accompanied by rigid rotation can be analyzed with keeping the total energy by employing a symplectic scheme. By introducing a viscosity term, the total energy can be decreased without loss of angular momentum.