The mechanical behavior of engineering materials is influenced by their heterogeneous microstructure. Due to large differences in length scale, it is usually not possible to explicitly model this influence in component simulations. This is why multiscale approaches are used in material modeling. The heterogeneous microstructure is explicitly modeled on a small length scale (within so-called representative volume elements) and its influence on the macroscopic material behavior is determined in average by means of numerical homogenization.