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Article Dans Une Revue Archive of Applied Mechanics Année : 2016

A note on the thermo-mechanics of elastic quasi-crystals

Résumé

In recent years, many papers have been published concerning the elasticity of quasi-crystals. The present study has for main purpose to replace the proposed formulations into the framework of the modern thermo-mechanics of continua. Two types of modelling are envisaged in small deformations, those inspired by the physical descriptions proposed by Bak on the one hand and by Lubensky and co-workers on the other. While the first one fits well in a traditional variational formulation, the second one seems to be best accommodated in the frame of the thermo-mechanics of internal variables of state, the newly introduced ``phason'' field being then interpreted as such a vector variable. The inclusion of these two models in the theory of configurational forces-useful for the study of the expansion of defects frequent in such crystals-and the possibilities of including the effects of nonlinear elasticity and plasticity are briefly discussed. Important symmetry conditions are however left aside.
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Dates et versions

hal-01459718 , version 1 (04-07-2024)

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Gerard A. Maugin. A note on the thermo-mechanics of elastic quasi-crystals. Archive of Applied Mechanics, 2016, 86 (1-2, SI), pp.245-251. ⟨10.1007/s00419-015-1104-6⟩. ⟨hal-01459718⟩
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