SPLITTING TIME INTEGRATOR FOR DYNAMIC PROBLEMS OF NEARLY INCOMPRESSIBLE ELASTICITY

Abstract

Explicit time integrators are suitable for wave propagation phenomena. If they are applied to the transient analysis of nearly incompressible materials such as rubber-like materials, it is necessary to use a small time step size determined from the speed of wave propagation of the volumetric deformation component with high stiffness. In this paper, the Rattle method for the constrained Hamiltonian problem is extended to develop a novel splitting time integrator for nearly incompressible elasticity.