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Keywords: multiscale modeling; homogenization; model order reduction; micromechanics
Organizers:
Dilek Güzel (1) – dilek.guezel@tu-dortmund.de
Sonja Hellebrand (2) – sonja.hellebrand@uni-due.de
Tobias Kaiser (1) – tobias.kaiser@tu-dortmund.de
Vincent von Oertzen (3) – vincent.von-oertzen@imfd.tu-freiberg.de
Affiliations:
(1) Institute of Mechanics, TU Dortmund University, Leonhard-Euler-Str. 5, 44227 Dortmund, Germany
(2) Institute of Mechanics, University of Duisburg-Essen, Universitätsstr. 12, 45141 Essen, Germany
(3) Institute of Mechanics and Fluid Dynamics, TU Bergakademie Freiberg, Lampadiusstr. 4, 09599 Freiberg, Germany
Abstract:
The effective constitutive response of materials as observed at a macroscopic specimen scale is a manifestation of the underlying microstructure and of lower-scale processes. This intrinsic hierarchy is in the focus of analytical and computational multiscale approaches. By making use of material models that have been developed at the level of individual phases and by collecting detailed microscale data in representative volume elements (RVEs), highly accurate digital twins of the material under consideration can be generated. In this regard, a proper definition of RVEs still remains unclear if the spatial scale separation is incomplete, as it is the case for higher-order generalized materials. Furthermore, the computational cost in terms of wall time and memory requirements increases with increasing complexity of the cell problem. This is particularly problematic when, for instance, nonlinear or coupled problems are considered and stipulates the development of tailored solution approaches that build upon the specific structure of the cell problem. Among these, adaptive model order reduction techniques and FFT-based spectral methods have emerged as some of the most promising options.
Against this background, the minisymposium Multiscale Methods and Micromechanics brings together young researchers that push the limits of established approaches, with particular focus of the minisymposium being on but not limited to