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)
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
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.
Received: 23 May 2008
Revised: 21 August 2008
Accepted manuscript online:
(Fatigue, corrosion fatigue, embrittlement, cracking, fracture, and failure)
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 10672022 and
10372016).
Cite this article:
Wang Xiao-Fang(王晓芳), Fan Tian-You(范天佑), and Zhu Ai-Yu(祝爱玉) Dynamic behaviour of the icosahedral Al--Pd--Mn quasicrystal with a Griffith crack 2009 Chin. Phys. B 18 709
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