CONTINUUM MECHANICAL CONSIDERATIONS FOR RIGID BODIES AND FLUID-STRUCTURE INTERACTION PROBLEMS

The present work deals with continuum mechanical considerations for de-formable and rigid solids as well as for fluids. A common finite element framework is used to approximate all systems under considerations. In particular, we present a standard displacement based formulation for the deformable solids and make use of this framework for the transition of the solid to a rigid body in the limit of infinite stiffness. At last, we demonstrate how to immerse a discretized solid into a fluid for fluid-structure interaction problems. 1