摘要

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.

  • 出版日期2016-1