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  Efficient multiscale FE-FFT-based modeling and simulation of macroscopic deformation processes with non-linear heterogeneous microstructures

Kochmann, J., Ehle, L., Wulfinghoff, S., Mayer, J., Svendsen, B., & Reese, S. (2018). Efficient multiscale FE-FFT-based modeling and simulation of macroscopic deformation processes with non-linear heterogeneous microstructures. In P. Wriggers, O. Allix, & J. Soric (Eds.), Lecture Notes in Applied and Computational Mechanics (pp. 129-146). Springer Verlag. doi:10.1007/978-3-319-65463-8_7.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-E85E-1 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-0479-2
Genre: Conference Paper

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 Creators:
Kochmann, Julian1, Author              
Ehle, Lisa2, Author              
Wulfinghoff, Stephan3, Author              
Mayer, Joachim4, Author              
Svendsen, Bob5, 6, Author              
Reese, Stefanie1, Author              
Affiliations:
1Institute of Applied Mechanics, RWTH Aachen University, Aachen, Germany, ou_persistent22              
2Gemeinschaftslabor für Elektronmikroskopie, RWTH Aachen University, Mies-van-der-Rohe-Str. 59, D-52074 Aachen, ou_persistent22              
3Institute of Applied Mechanics, RWTH Aachen University, D-52074 Aachen, Germany, ou_persistent22              
4Central Facility for Electron Microscopy, RWTH Aachen University, Aachen, Germany, ou_persistent22              
5Material Mechanics, Faculty of Georesources and Materials Engineering, RWTH Aachen University, Schinkelstraße 2, D-52062 Aachen, Germany, ou_persistent22              
6Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Max Planck Society, ou_1863381              

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Free keywords: Bending tests; Binary alloys; Boundary value problems; Chromium alloys; Finite element method; Molybdenum alloys, Computational approach; Heterogeneous materials; Heterogeneous microstructure; Hill-mandel conditions; Macroscopic deformations; Model and simulation; Quasistatic process; Three-point bending test, Fast Fourier transforms
 Abstract: The purpose of this work is the prediction of micromechanical fields and the overall material behavior of heterogeneous materials using an efficient and robust two-scale FE-FFT-based computational approach. The macroscopic boundary value problem is solved using the finite element (FE) method. The constitutively dependent quantities such as the stress tensor are determined by the solution of the local boundary value problem. The latter is represented by a periodic unit cell attached to each macroscopic integration point. The local algorithmic formulation is based on fast Fourier transforms (FFT), fixed-point and Newton-Krylov subspace methods (e.g. conjugate gradients). The handshake between both scales is defined through the Hill-Mandel condition. In order to ensure accurate results for the local fields as well as feasible overall computation times, an efficient solution strategy for two-scale full-field simulations is employed. As an example, the local and effective mechanical behavior of ferrit-perlit annealed elasto-viscoplastic 42CrMo4 steel is studied for three-point-bending tests. For simplicity, attention is restricted to the geometrically linear case and quasi-static processes. © Springer International Publishing AG 2018.

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Language(s): eng - English
 Dates: 2017-12-022018
 Publication Status: Published in print
 Pages: -
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: ISBN: 9783319654621
DOI: 10.1007/978-3-319-65463-8_7
BibTex Citekey: Kochmann2018129
 Degree: -

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Title: International Workshop on Multiscale Modeling of Heterogeneous Structures, MUMO 2016
Place of Event: Dubrovnik, Croatia
Start-/End Date: 2016-09-21 - 2016-09-23

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Title: Lecture Notes in Applied and Computational Mechanics
Source Genre: Proceedings
 Creator(s):
Wriggers, P.1, Editor
Allix, O.1, Editor
Soric, J.1, Editor
Affiliations:
1 Institute of Applied Mechanics, RWTH Aachen University, Aachen, Germany; Central Facility for Electron Microscopy, RWTH Aachen University, Aachen, Germany; RWTH Aachen University, Aachen, Germany; Microstructure Physics and Alloy Design, Max-Planck-Institut für Eisenforschung GmbH, Düsseldorf, Germany, ou_persistent22            
Publ. Info: Springer Verlag
Pages: - Volume / Issue: 86 Sequence Number: - Start / End Page: 129 - 146 Identifier: ISSN: 16137736