Simulation of Uniaxial Compression Based on Hamiltonian MPS Method with Wall Boundary Condition Using Penalty Method

Abstract

The uniaxial compression test of jelly food is simulated based on Hamiltonian MPS method with a wall boundary condition using the penalty method. The jelly is assumed to be a Mooney-Rivlin hyperelastic material. To improve the stability of calculation, viscous forces based on the MPS method and auxiliary potential forces are also employed. The contact forces which are pressing the jelly on the wall are calculated using a penalty function. The calculated stresses agree well with analytical solution.