By Banach algebra we mean Banach space enriched with a multiplication operation. It is a mathematical structure that is used in the non-periodic homogenization of composite materials. The theory of classical homogenization studies materials assuming the periodicity of the structure. For real materials, the assumption of a periodicity is not enough and is replaced by the so-called an abstract hypothesis based on a concept composed mainly of the spectrum of Banach algebra and Sigma convergence. This theory was introduced in 2004.
Identifer | oai:union.ndltd.org:nusl.cz/oai:invenio.nusl.cz:445456 |
Date | January 2021 |
Creators | Machovičová, Tatiana |
Contributors | Nechvátal, Luděk, Franců, Jan |
Publisher | Vysoké učení technické v Brně. Fakulta strojního inženýrství |
Source Sets | Czech ETDs |
Language | Slovak |
Detected Language | English |
Type | info:eu-repo/semantics/masterThesis |
Rights | info:eu-repo/semantics/restrictedAccess |
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