中国物理B ›› 1993, Vol. 2 ›› Issue (1): 42-47.doi: 10.1088/1004-423X/2/1/006

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EXPRESSION OF THE ELASTIC ENERGY IN TWO-DIMENSIONAL QUASICRYSTALS

胡承正, 丁棣华, 杨文革   

  1. Department of Physics, Wuhan University, Wuhan 430072, China
  • 收稿日期:1992-01-30 出版日期:1993-01-20 发布日期:1993-01-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China.

EXPRESSION OF THE ELASTIC ENERGY IN TWO-DIMENSIONAL QUASICRYSTALS

HU CHENG-ZHENG (胡承正), DING DI-HUA (丁棣华), YANG WEN-GE (杨文革)   

  1. Department of Physics, Wuhan University, Wuhan 430072, China
  • Received:1992-01-30 Online:1993-01-20 Published:1993-01-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China.

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摘要： The application of group theory to elasticity in two-dimensional (2D)quasicrystals is presented. The expression of elastic energy as a function of gradients of the phonon and phason fields has been derived to quadratic order. The phonon response to an external stress is isotropic, but the response of phason field is anisotropic for eightfold and twelvefold symmetries.

Abstract: The application of group theory to elasticity in two-dimensional (2D) quasicrystals is presented. The expression of elastic energy as a function of gradients of the phonon and phason fields has been derived to quadratic order. The phonon response to an external stress is isotropic, but the response of phason field is anisotropic for eightfold and twelvefold symmetries.

中图分类号:  (Quasicrystals)

  • 61.44.Br
62.20.D- (Elasticity) 63.20.-e (Phonons in crystal lattices)