Statistically similar representative microstructures in elasto-plasticity

• Applicant: Professor Dr.-Ing. Jörg Schröder
• Subject Area: Mechanics
• Term: from 2007 to 2015
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 28259266

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.

• DFG Programme: Research Units
• Subproject of: FOR 797: Analysis and Computation of Microstructure in Finite Plasticity
• Participating Person: Professor Dr.-Ing. Daniel Balzani