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ISSN Печать: 1543-1649
ISSN Онлайн: 1940-4352
Indexed in
A FAST THREE-LEVEL UPSCALING FOR SHORT FIBER-REINFORCED COMPOSITES
Краткое описание
Effective mechanical properties of a random heterogeneous material may be estimated by numerical modeling of deformations of a number of representative volume elements (RVEs). To speed up such an analysis, the multiscale finite element method (MsFEM Hou and Wu, 1997) that may be interpreted as a special local multigrid homogenization (Cecot and Oleksy, 2015) was used at the RVE level. The efficiency and reliability of the proposed approach was confirmed by analysis of a plane-state elasticity problem with randomly distributed short aluminum fibers in a gypsum matrix. Also, the higher order FEM proved to be an adequate approximation method for this three-level numerical homogenization.
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Klimczak Marek, Cecot Witold, An adaptive MsFEM for nonperiodic viscoelastic composites, International Journal for Numerical Methods in Engineering, 114, 8, 2018. Crossref
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Klimczak Marek, Cecot Witold, Modeling of heterogeneous elastic materials by the multiscale hp-adaptive finite element method, 1922, 2018. Crossref
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Klimczak Marek, Cecot Witold, Towards asphalt concrete modeling by the multiscale finite element method, Finite Elements in Analysis and Design, 171, 2020. Crossref
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Yang Zhiqiang, Sun Yi, Guan Tianyu, Dong Hao, A high-order three-scale approach for predicting thermo-mechanical properties of porous materials with interior surface radiation, Computers & Mathematics with Applications, 79, 9, 2020. Crossref
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Cecot Witold, Oleksy Marta, The Discontinuous Petrov–Galerkin methodology for the mixed Multiscale Finite Element Method, Computers & Mathematics with Applications, 95, 2021. Crossref
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Klimczak Marek, Cecot Witold, MsFEM Upscaling for the Coupled Thermo-Mechanical Problem, in Computational Science – ICCS 2021, 12746, 2021. Crossref
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Dryzek Mateusz, Cecot Witold, The iterative multiscale finite element method for sandwich beams and plates, International Journal for Numerical Methods in Engineering, 122, 22, 2021. Crossref
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Oleksy Marta, Cecot Witold, Rachowicz Waldemar, Nessel Michał, An improved Multiscale FEM for the free vibrations of heterogeneous solids, Computers & Mathematics with Applications, 110, 2022. Crossref