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Methodological notes


Elastic properties of icosahedral and decagonal quasicrystals

 a, b
a National Research Centre ‘Kurchatov Institute’, pl. akad. Kurchatova 1, Moscow, 123182, Russian Federation
b National University of Science and Technology ‘MISIS’, Leninskii prosp. 4, Moscow, 119049, Russian Federation

Problems associated with determining the symmetry properties of the elastic constant tensor of icosahedral and decagonal quasicrystals are reviewed. Notions of elastic isotropy and anisotropy are considered, and their relation to the components of the elastic constant tensor is discussed. The question is addressed of how to determine experimentally whether a system under study is elastically isotropic. Experimental results produced by resonant ultrasound spectroscopy of icosahedral Al-Li-Cu and decagonal Al-Ni-Co single quasicrystals are discussed in detail.

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Fulltext is also available at DOI: 10.1070/PU2005v048n04ABEH002168
PACS: 61.44.−n, 61.44.Br, 62.20.De, 62.30.+d (all)
DOI: 10.1070/PU2005v048n04ABEH002168
URL: https://ufn.ru/en/articles/2005/4/d/
000231253100004
Citation: Chernikov M A "Elastic properties of icosahedral and decagonal quasicrystals" Phys. Usp. 48 411–417 (2005)
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Îðèãèíàë: ×åðíèêîâ Ì À «Óïðóãèå ñâîéñòâà èêîñàýäðè÷åñêèõ è äåêàãîíàëüíûõ êâàçèêðèñòàëëîâ» ÓÔÍ 175 437–443 (2005); DOI: 10.3367/UFNr.0175.200504e.0437

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