Linking macroscopic deformation processes to microstructure evolution using an FE-FFT-based micro-macro transition and non-conserved phase-fields |
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Authors: | Julian Kochmann Lisa Ehle Stephan Wulfinghoff Bob Svendsen Stefanie Reese |
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Institution: | 1. Institute of Applied Mechanics, RWTH Aachen University, Mies-van-der-Rohe-Str. 1, D-52074 Aachen;2. Gemeinschaftslabor für Elektronmikroskopie, RWTH Aachen University, Mies-van-der-Rohe-Str. 59, D-52074 Aachen;3. Chair of Material Mechanics, RWTH Aachen University, Schinkelstr. 2, D-52062 Aachen |
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Abstract: | The purpose of this work is the multiscale FE-FFT-based prediction of macroscopic material behavior, micromechanical fields and bulk microstructure evolution in polycrystalline materials subjected to macroscopic mechanical loading. The macroscopic boundary value problem (BVP) is solved using implicit finite element (FE) methods. In each macroscopic integration point, the microscopic BVP is embedded, the solution of which is found employing fast Fourier transform (FFT), fixed-point and Green's function methods. The mean material response is determined by the stress-strain relation at the micro scale or rather the volume average of the micromechanical fields. The evolution of the microstructure is modeled by means of non-conserved phase-fields. As an example, the proposed methodology is applied to the modeling of stress-induced martensitic phase transformations in metal alloys. (© 2016 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim) |
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