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In our contribution we discuss the applicability of statistically similar representative volume elements (SSRVEs) for the incorporation of microstructural information during multiscale simulations using the FE2-method. Such SSRVEs are characterized by a lower complexity than usual random representative volume elements (RVEs), but they represent quite accurately the mechanical response of the real material. A lower complexity of the RVE is accompanied by a reduced number of degrees of freedom of resulting finite-element discretizations and therefore, computational costs are significantly decreased. In order to demonstrate the performance of the proposed procedure we discuss the results of several representative numerical examples. © 2011 IBF (RWTH Aachen) & IUL (TU Dortmund).