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Chinese Physics, 2007, Vol. 16(4): 1111-1118    DOI: 10.1088/1009-1963/16/4/042
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Elastic analysis of a mode II crack in an icosahedral quasicrystal

Zhu Ai-Yu(祝爱玉)a)† and Fan Tian-You(范天佑)b)
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  Based on the displacement potential functions, the elastic analysis of a mode II crack in an icosahedral quasicrystal is performed by using the Fourier transform and dual integral equation theory. By the solution, the analytic expressions for the displacement field and stress field are obtained. The asymptotic behaviours of the phonon and phason stress fields around the crack tip indicate that the stresses near the crack tip exhibit a square root singularity. The most important physical quantities of fracture theory, crack stress intensity factor and energy release rate, are evaluated in an explicit version.
Keywords:  icosahedral quasicrystal      elasticity      crack      energy release rate  
Received:  12 September 2006      Revised:  16 October 2006      Accepted manuscript online: 
PACS:  61.44.Br (Quasicrystals)  
  62.20.M- (Structural failure of materials)  
  62.20.D- (Elasticity)  
  64.70.K-  
  63.20.-e (Phonons in crystal lattices)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10372016).

Cite this article: 

Zhu Ai-Yu(祝爱玉) and Fan Tian-You(范天佑) Elastic analysis of a mode II crack in an icosahedral quasicrystal 2007 Chinese Physics 16 1111

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