The aim of the project is the systematic characterization of the anisotropic material behavior of the aluminum alloy AlSi10Mg, produced by powder bed based laser beam melting (PBF-LB/M). The focus is on investigating the dependence of mechanical properties on the stress multiaxiality and the orientation to the build-up direction. For this purpose, quasi-static tests are carried out on samples with defined orientations under varying stress conditions (uniaxial to biaxial). In addition, a microstructural analysis is carried out to correlate grain structure, pore distribution and failure behavior. The characterization includes the stress-strain behavior, local strains (DIC), as well as the identification of failure modes. The aim is to determine load-dependent yield and failure surfaces and to show their dependence on the process-induced microstructure. The findings serve as a basis for deriving requirements for phenomenological material models for numerical simulation. Process parameters and post-treatment routes are kept constant in order to focus on the material-induced anisotropy.