ICAMS / Interdisciplinary Centre for Advanced Materials Simulation
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On the construction of statistical similar representative volume elements for two-phase materials

Date: 16.01.2012
Time: 4:30 p.m.
Place: UHW 11/1102

Dominik Brands, Abteilung Bauwissenschaften, Universität Duisburg-Essen, Essen, Germany
Jörg Schröder, Abteilung Bauwissenschaften, Universität Duisburg-Essen, Essen, Germany

The FE2 method, also known as direct micro-macro transition, is a suitable
numerical tool for direct incorporation of micromechanical information. A drawback
of these direct homogenization methods is the high amount of memory and high
computation time when applying them to large random microstructures. In this
context, the definition of a statistically similar representative volume element
(SSRVE), which is characterized by a significantly reduced complexity compared
with real microstructures, leads to more efficient procedures. Therefore, we propose
to construct such SSRVEs based on the minimization of a least-square functional
considering the differences of suitable statistical measures characterizing the inclusion
morphology of a given real microstructure and of the SSRVE. In 2D the
construction of SSRVEs proves to be successfull in a series of numerical examples.
The next step is the extension of this method to the construction of threedimensional
SSRVEs.
Therefore, we consider the phase fraction, the spectral density and the lineal-path
function with respect to the inclusion phase for the evaluation of the least-square
functional. As a target structure we use a real microstructure of a Dual-Phase steel
which is obtained from 3D measurements based on Electron Backscatter Diffraction
(EBSD) combined with a Focused Ion Beam (FIB).

Supporting information:

Brands_16_01.pdf
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