每年出版 6 期
ISSN 打印: 1543-1649
ISSN 在线: 1940-4352
Indexed in
Employing the Discrete Fourier Transform in the Analysis of Multiscale Problems
摘要
The idea of employing the discrete Fourier transform casted as the representative cell method for the solution of multiscale problems is illustrated. Its application in combination with analytical (structural mechanics methods, Wiener-Hopf method, integral transform methods) and numerical (finite element method, higher-order theory) methods is demonstrated. Both cases of 1-D and 2-D translational symmetry are addressed. In particular, the problems for layered, cellular, and perforated materials with and without flaws (cracks) are considered. The method is shown to be a convenient and universal analysis tool. Its numerical efficiency allowed us to solve optimization problems characterized by multiple reanalysis.
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Aboudi Jacob, Ryvkin Michael, The analysis of localized effects in composites with periodic microstructure, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 371, 1993, 2013. Crossref
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Kucherov Leonid, Ryvkin Michael, Fracture toughness of open-cell Kelvin foam, International Journal of Solids and Structures, 51, 2, 2014. Crossref
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Ryvkin Michael, Hadar Or, Kucherov Leonid, Multiscale analysis of non-periodic stress state in composites with periodic microstructure, International Journal of Engineering Science, 121, 2017. Crossref
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Ryvkin Michael, Shraga Raz, Fracture toughness of hierarchical self-similar honeycombs, International Journal of Solids and Structures, 152-153, 2018. Crossref
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Ryvkin Michael, Aboudi Jacob, The analysis of periodic composites with randomly damaged constituents, Acta Mechanica, 231, 2, 2020. Crossref