Elasto-hydrodynamics of quasicrystals

Abstract

This work suggests the equations on elasto-hydrodynamics of quasicrystals and as an application gives some solutions of dislocation dynamics for three-dimensional icosahadral, cubic and one-dimensional hexagonal quasicrystals in terms of perturbation and variation methods. Some comparisions on the results to those given by other models have been discussed.

Keywords:

• quasicrystals
• phonon
• phason
• phonon–phason coupling
• elasto-hydrodynamics
• dislocation dynamics
• perturbation
• variation

Acknowledgements

This work was supported by the National Natural Science Foundation of China through grants 10372016 and 1067022. We are grateful to Professor E. A. Davis for his advice and assistance in improving the manuscript.