HOMAT serves to determine effective material properties from heterogeneous materials. Thermal and thermoelastic properties as well as the Darcy permeability are determined by the asymptotic homogenization method while virtual tests are performed with the FE program Abaqus^® to derive effective non-linear properties like elastoplastic flow curves. HOMAT requires an accurate geometrical description of the complex microstructure (i.e. the topology of the individual phases and their spatial distribution) and the properties of the individual phases, which can be either isotropic, transverse isotropic, orthotropic or anisotropic. The geometry of the microstructure can be either simulated directly by MICRESS^® for alloys or by SphaeroSim for semi-crystalline thermoplastics, specified experimentally via 3D CT scans or SEM micrographs or generated by Laguerre-Voronoi tessellation (Neper, Dream3D,...). HOMAT has a dedicated interface program, named Mesh2XXX, which involves both specific pre-processors: Mesh2HOMAT and Mesh2ABAQUS.