Description of the project

Many foams can be idealized as bodies, consisting of microstructures. The macroscopic deformations of porous foams are determined by their geometry on a smaller scale (their microstructure). The direct approach to model such geometries with Finite Elements leads to a huge number of unknowns and the solution of the resulting equations is still a problem even for modern computers. In this project, different approaches are discussed to solve the multiscale problem (homogenization, multigrid, domain decomposition). The left picture shows an example of a microstructure. The macroscopic problem was solved with a multigrid technique, its deformed configuration is shown on the right picture.