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Naji, M. |
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Motta, Antonella |
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Aletan, Dirar |
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Mohamed, Tarek |
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Ertürk, Emre |
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Taccardi, Nicola |
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Kononenko, Denys |
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Petrov, R. H. | Madrid |
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Alshaaer, Mazen | Brussels |
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Bih, L. |
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Casati, R. |
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Muller, Hermance |
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Kočí, Jan | Prague |
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Šuljagić, Marija |
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Kalteremidou, Kalliopi-Artemi | Brussels |
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Azam, Siraj |
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Ospanova, Alyiya |
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Blanpain, Bart |
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Ali, M. A. |
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Popa, V. |
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Rančić, M. |
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Ollier, Nadège |
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Azevedo, Nuno Monteiro |
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Landes, Michael |
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Rignanese, Gian-Marco |
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Svendsen, Bob
in Cooperation with on an Cooperation-Score of 37%
Topics
Publications (15/15 displayed)
- 2023FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes
- 2021FFT‐based homogenization using a reduced set of frequencies and a clustered microstructure
- 2021Phase-Field Modeling of Chemoelastic Binodal/Spinodal Relations and Solute Segregation to Defects in Binary Alloyscitations
- 2020Effect of Twin Boundary Motion and Dislocation-Twin Interaction on Mechanical Behavior in Fcc Metalscitations
- 2020Unveiling the Re effect in Ni-based single crystal superalloyscitations
- 2019Atomistic phase field chemomechanical modeling of dislocation-solute-precipitate interaction in Ni–Al–Cocitations
- 2018Laminate-based modelling of single and polycrystalline ferroelectric materialscitations
- 2018Finite-deformation phase-field chemomechanics for multiphase, multicomponent solidscitations
- 2015From generalized stacking fault energies to dislocation properties: Five-energy-point approach and solid solution effects in magnesiumcitations
- 2012Distortion analysis of air hardened deep drawn parts of the air-hardened steel LH800
- 2011Phenomenological modeling of anisotropy induced by evolution of the dislocation structure on the macroscopic and microscopic scale
- 2011Phenomenological modeling of anisotropy induced by evolution of the dislocation structure on the macroscopic and microscopic scalecitations
- 2009Enhanced Micromechanical Modelling of Martensitic Phase-Transitions Considering Plastic Deformationscitations
- 2008Efficient modeling and calculation of sheet metal forming using steel LH800
- 2008Zeiteffiziente Prozesskettenmodellierung und -berechnung in der Blechumformung und -verarbeitung
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article
FFT‐based homogenization using a reduced set of frequencies and a clustered microstructure
Abstract
<jats:title>Abstract</jats:title><jats:p>To capture the material behavior of composite microstructures, Moulinec and Suquet [5] proposed a homogenization scheme making use of fast Fourier transforms (FFT) and fixed‐point iterations. To reduce the computational effort of this spectral method, Kochmann et al. [3] introduced a model order reduction technique, which is based on using a fixed reduced set of frequencies for the computations in Fourier space. Within the current work, we improved the accuracy of the approach by use of a geometrically adapted set of frequencies, see [1]. Since the constitutive relations are still evaluated in real space, the technique is most beneficial for a linear material behavior. Considering nonlinear material behavior, most of the computing time is related to solving the constitutive relations. Therefore, the total speed‐up is lower. To achieve a further reduction of the computational effort for a nonlinear material behavior, the earlier proposed model order reduction technique is coupled with a clustering analysis [4]. The whole microstructure is thus divided into clusters, which show a similar material behavior. Within these clusters, the micromechanical fields are assumed to be constant which leads to a significant reduction of computational costs compared to the highly resolved solution.</jats:p>