Institut für Mechanik
Fakultät für Ingenieurwissenschaften
joint work with:Prof. Dr. Jörg Schröder, Dipl.-Ing. Dominik Brands
FE²-Simulation of Two-Phase Steels based on Statistically Similar RVEs
Abstract: For the direct incorporation of micromechanical information the FE2-method provides a suitable numerical framework, by taking into account an additional microscopic boundary value problem based on representative volume elements (RVE). We propose to construct more eﬃcient statistically similar RVEs (SSRVEs) by minimizing a general least-square functional. This functional takes into account the diﬀerences between suitable statistical measures characterizing the inclusion morphology, which are computed for a given real (complex) microstructure and for a suitably parameterized SSRVE. It turns out that the combination of the volume fraction and the spectral density seems not to be suﬃcient, thus, the lineal-path function is additionally included. Then promissing results are obtained and analyzed in inhomogeneous macroscopic boundary value problems.
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