第二部門：計算力学（B）

[S02B-07] Splitting Time Integrator for Dynamic Problems of Nearly Incompressible Solid

*Takahiro Yamada¹ (1. Yokohama National University)

Keywords:nearly incompressible material, transient analysis, time integrator, mixed finite element method

Since the velocity of P-wave may much larger than that of S-wave in nearly incompressible materials, explicit time integrators are hardly applied to such problems. In this paper, a novel time integration scheme for dynamic problems of nearly incompressible solid, which is an extension of the Rattle algorithm for constrained Hamiltonian systems, is proposed. In the proposed approach, an explicit integration is applied to deviatoric components of the equation of motion while volumetric ones are evaluated implicitly by solving a variant of discrete Poisson equations.