A numerical multiscale modeling approach is being developed to describe the behavior of hybrid porous materials at both the micro and macro scales using a combined finite element fast Fourier transform (FE-FFT) methodology. The objective is to simulate the influence of different microstructural morphologies, such as varying porosities and hybrid material compositions, on the macroscopic properties of components. To establish the basis for this multiscale approach, analytical and numerical modeling approaches for porous structures are being implemented, analyzed, and compared. At the macro level, an analytical elastoplastic material model for foams is used, see [1], and integrated into the FE environment Ferrite.jl [2]. This model is used to solve various boundary value problems. In parallel, microscopic simulations of microstructures with defined porosities under various macroscopic loading conditions are performed using the FFT-based solver FeelMath [3]. The predictions of the macroscopic model are compared with the homogenized responses from the microscopic FFT simulations. A particular focus is on the evaluation of isotropic and anisotropic material behavior. The results are analyzed regarding the limitations of the current models and possible strategies for further improvements. [1] V. S. Deshpande and N. A. Fleck. Isotropic constitutive models for metallic foams. Journal of the Mechanics and Physics of Solids, 48(6–7):1253–1283, 2000. [2] K. Carlsson, F. Ekre, and Ferrite.jl contributors. Ferrite.jl [Computer software]. URL: https://github.com/Ferrite-FEM/Ferrite.jl. [3] M. Kabel and H. Andrae. Fast numerical computation of precise bounds of effective elastic moduli. Berichte des Fraunhofer ITWM, 224, 2013.