Statistically Similar RVEs

Associated people

J. Schröder, D. Balzani (TU Dresden), D. Brands, L. Scheunemann

Abstract

Micro-heterogeneous high-tech steels enable ambitious engineering constructions. For the design of such random multi-phase microstructures numerical simulation procedures are important for the reliable prediction of the overall response of macroscopic boundary value problems. Direct homogenization schemes, which are designed for such kind of problems, can only be efficient if the complex random microstructure is approximated by significantly less complex representative volume elements (RVEs) capturing the basic morphological attributes of the microscale. This is the main task in the project, where several statistical measures (spectral-density, lineal-path function, Minkowski valuations, etc.) are applied for the construction of statistically similar RVEs (SSRVEs). A main challenge in this period is the design of three-dimensional SSRVEs based on the Electron-Backscatter Diffraction (EBSD) combined with Focused-Ion-Beam (FIB) measurements. The performance of the direct homogenization approach using the constructed SSRVEs is analyzed for representative macroscopic deep-drawing processes.

References

Balzani, D., Brands, D., Schröder, J., and Carstensen, C. [2010], "Sensitivity Analysis of Statistical Measures for the Reconstruction of Microstructures based on the Minimization of Generalized Least-Square Functionals", Technische Mechanik, 30, 297-315

Schröder, J., Balzani, D., and Brands, D. [2010], "Approximation of Random Microstructures by Periodic Statistically Similar Representative Volume Elements based on Lineal-Path Functions", Archive of Applied Mechanics