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Construction of 3D Statistically Similar RVEs for dual-phase steel microstructures
A method for the construction of 3D Statistically Similar RVEs for dual-phase steel (DP steel) microstructures in presented in this paper. DP steels have enhanced material properties compared to conventional steels which make them favorable for many engineering applications. Since these properties originate from the microstructure of the two-phase material, microstructural effects should be taken into account. This can be achieved by using the FE 2 method, however, this method requires RVEs of low complexity in order to end up in calculations with reasonable computing time. Instead of using RVEs as direct substructures of a real microstructure, SSRVEs with less complex inclusion morphology can be constructed, which still represent the mechanical response of the material accurately enough while providing a speedup due to the lower complexity of discretization. The method for the construction of such SSRVEs described here is based on the minimization of a least-square functional taking into account distinct statistical measures computed for the real microstructure and the SSRVE. Here, the focus is on the construction of three-dimensional SSRVEs. The performance of those SSRVEs is shown and an inhomogeneous numerical example using the FE2 method combined with SSRVEs is presented.