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A multiscale approach for model reduction of random microstructures
Computational Materials Science, 2012Abstract The mechanical properties of a deformed workpiece are sensitive to the initial microstructure. Often, the initial microstructure is random in nature and location specific. To model the variability of properties of the workpiece induced by variability in the initial microstructure, one needs to develop a reduced order stochastic input model ...
Nicholas Zabaras
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Probabilistic equivalence and stochastic model reduction in multiscale analysis
Computer Methods in Applied Mechanics and Engineering, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
M Arnst, Roger Ghanem
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Computational multiscale modeling of fracture problems and its model order reduction
, 2017 Fil: Caicedo, M.A..
Caicedo, M.A. +2 more
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Model-reduction in multiscale problems for composite and polycrystalline materials
, 2016 A common practice in multiscale problems for heterogeneous materials with well separated scales, is to look for homogenized, or effective, constitutive relations. In linear elasticity the structure of the homogenized constitutive relations is strictly preserved in the change of scales.
Suquet, Pierre +2 more
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Journal of Computational and Applied Mathematics, 2017 In this paper, we present a new multiscale model reduction technique for the Stokes flows in heterogeneous perforated domains. The challenge in the numerical simulations of this problem lies in the fact that the solution contains many multiscale features
Eric T Chung +2 more
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Multiscale model reduction for the Allen–Cahn problem in perforated domains
Journal of Computational and Applied Mathematics, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aleksei Tyrylgin +3 more
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Multiscale model reduction for neutron diffusion equation
Журнал «Математические заметки СВФУ», 2021Modelling of dynamic processes in nuclear reactors is carried out, mainly, on the basis of the multigroup diffusion approximation for the neutron flux. The neutron diffusion approximation is widely used for reactor analysis and applied in most engineering calculation codes.
Vasilev, Aleksandr O. +2 more
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Theoretical and Mathematical Physics, 2022
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Ammosov, D. A. +3 more
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Ammosov, D. A. +3 more
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Fractal Model for Drag Reduction on Multiscale Nonwetting Rough Surfaces
Langmuir, 2020Rough surfaces in contact with a flow of fluid exhibit alternating no-slip and free shear boundary conditions at the solid-liquid and air-liquid interfaces, respectively, thereby potentially offering drag reduction benefits. The balance between the dynamic pressure in the flow and the restoring capillary pressure in the interasperity spaces determines ...
S. Hatte, R. Pitchumani
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