中国物理B ›› 2009, Vol. 18 ›› Issue (2): 709-714.doi: 10.1088/1674-1056/18/2/050

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇    下一篇

Dynamic behaviour of the icosahedral Al--Pd--Mn quasicrystal with a Griffith crack

王晓芳1, 祝爱玉1, 范天佑2   

  1. (1)Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Physics, School of Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:2008-05-23 修回日期:2008-08-21 出版日期:2009-02-20 发布日期:2009-02-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10672022 and 10372016).

Dynamic behaviour of the icosahedral Al--Pd--Mn quasicrystal with a Griffith crack

Wang Xiao-Fang(王晓芳)a)†, Fan Tian-You(范天佑)b), and Zhu Ai-Yu(祝爱玉)a)   

  1. a Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China; b Department of Physics, School of Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:2008-05-23 Revised:2008-08-21 Online:2009-02-20 Published:2009-02-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos 10672022 and 10372016).

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摘要： The dynamic response of an icosahedral Al--Pd--Mn quasicrystal with a Griffith crack to impact loading is investigated in this paper. The elastohydrodynamic model for the wave propagation and diffusion together with their interaction is adopted. Numerical results of stress, displacement and dynamic stress intensity factors are obtained by using the finite difference method. The effects of wave propagation, diffusion and phonon--phason coupling on the quasicrystal in the dynamic process are discussed in detail, where the phason dynamics is explored particularly.

Abstract: The dynamic response of an icosahedral Al--Pd--Mn quasicrystal with a Griffith crack to impact loading is investigated in this paper. The elastohydrodynamic model for the wave propagation and diffusion together with their interaction is adopted. Numerical results of stress, displacement and dynamic stress intensity factors are obtained by using the finite difference method. The effects of wave propagation, diffusion and phonon--phason coupling on the quasicrystal in the dynamic process are discussed in detail, where the phason dynamics is explored particularly.

Key words: icosahedral quasicrystals, dynamic response, phason dynamics

中图分类号:  (Quasicrystals)

  • 61.44.Br
62.20.M- (Structural failure of materials) 81.40.Np (Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)