Topology optimization of fluid–structure-interaction problems in poroelasticity

This paper presents a method for applying topology optimization to fluid–structure interaction problems in saturated poroelastic media. The method relies on a multiple-scale method applied to periodic media. The resulting model couples the Stokes flow in the pores of the structure with the deformation of the elastic skeleton through a macroscopic Darcy-type flow law. The method allows to impose pressure loads for static problems through a one way coupling, while transient problems are fully coupled modeling the interaction between fluid and solid. The material distribution is determined by topology optimization in order to optimize the performance of a shock absorber and test the pressure loading capabilities and optimization of an internally pressurized lid.

► Topology optimization of fluid–structure-interaction problems using a porous media approach.
► Interpolation functions based on homogenization are physically realizable.
► Optimizing the design of a poroelastic shock absorber.
► Optimizing and loading of an internally pressurized lid.