Bloch spectral analysis in the class of non-periodic laminates

Autor: Bălilescu Loredana, Conca Carlos, Ghosh Tuhin, San Martín Jorge, Vanninathan Muthusamy
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: ITM Web of Conferences, Vol 49, p 02001 (2022)
Druh dokumentu: article
ISSN: 2271-2097
DOI: 10.1051/itmconf/20224902001
Popis: In this work, we introduce Bloch waves to study the homogenization process in a class of simple laminates which are obtained as a particular Hashin-Shtrikman microstructure involving translations and dilations in only one direction. This makes this class of microstructures non necessarily periodic in the direction of lamination. We derive explicit formulae for the Bloch wave spectral representation of the homogenized coefficients.
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