Abstract
The elasticity of quasi-crystals belongs in a class by itself although it may be approached from two different sides that we shall rapidly survey. Without entering the technicalities of condensed matter physics, we note that quasi-crystals experimentally discovered in certain alloys in 1982 by D. Shechtman (Nobel Prize 2011) and with an initial symmetry theory proposed in 1984 (see Lubensky, 1988; Fan, 2011, Trebin, 2003; for the history and main structural and physical properties) present a challenge for their modelling as deformable continua. It is acknowledged that they present some aperiodicity (or quasi-periodicity along certain directions or in planes) which is their main characteristic symmetry property.
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Maugin, G.A. (2017). Q–R: From “Quasi-crystals (Elasticity of)” to “Rogula R.D.”. In: Non-Classical Continuum Mechanics. Advanced Structured Materials, vol 51. Springer, Singapore. https://doi.org/10.1007/978-981-10-2434-4_14
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DOI: https://doi.org/10.1007/978-981-10-2434-4_14
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