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Chinese Physics, 2000, Vol. 9(10): 764-766    DOI: 10.1088/1009-1963/9/10/009
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK

Peng Yan-ze (彭彦泽), Fan Tian-you (范天佑)
Research Center of Materials Science, Beijing Institute of Technology, Beijing 100081, China
Abstract  Perturbation method for solving elastic three-dimensional (3D) problems for 3D icosahedral quasicrystals is proposed. Considering an infinite 3D icosahedral quasicrystal weakened by a circular crack, we obtain the uniformly valid asymptotic solutions up to O(R2) for the mode I loading, where R is the elastic constant of phonon-phason coupling.
Keywords:  icosahedral quasicrystal      circular crack      perturbation method  
Received:  23 March 2000      Revised:  08 June 2000      Accepted manuscript online: 
PACS:  61.44.Br (Quasicrystals)  
  62.20.D- (Elasticity)  
  62.20.M- (Structural failure of materials)  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. K19972011).

Cite this article: 

Peng Yan-ze (彭彦泽), Fan Tian-you (范天佑) PERTURBATION METHOD SOLVING ELASTIC PROBLEMS OF ICOSAHEDRAL QUASICRYSTALS CONTAINING A CIRCULAR CRACK 2000 Chinese Physics 9 764

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