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
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:

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