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International Journal for Multiscale Computational Engineering
インパクトファクター: 1.016 5年インパクトファクター: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN 印刷: 1543-1649
ISSN オンライン: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2016018563
pages 19-34

A FAST THREE-LEVEL UPSCALING FOR SHORT FIBER-REINFORCED COMPOSITES

Michal Krowczynski
Institute for Computational Civil Engineering, Cracow University of Technology, Krakow, Poland
Witold Cecot
Institute for Computational Civil Engineering, Cracow University of Technology, ul. Warszawska 24, 31-155 Krakow, Poland

要約

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.