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Chin. Phys. B, 2011, Vol. 20(3): 036101    DOI: 10.1088/1674-1056/20/3/036101
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Plastic analysis of the crack problem in two-dimensional decagonal Al-Ni-Co quasicrystalline materials of point group 10,$\overline{10}$

Li Wu(李梧)a)b)† and Fan Tian You(范天佑) a)
a Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China; b Institute of Applied Mathematics, Xuchang University, Xuchang 461000, China
Abstract  The fundamental plastic nature of the quasicrystalline materials remains an open problem due to its essential complicacy. By developing the proposed generalized cohesive force model, the plastic deformation of crack in point group 10,10 decagonal quasicrystals is analysed strictly and systematically. The crack tip opening displacement (CTOD) and the size of the plastic zone around the crack tip are determined exactly. The quantity of the crack tip opening displacement can be used as a parameter of nonlinear fracture mechanics of quasicrystalline material. In addition, the present work may provide a way for the plastic analysis of quasicrystals.
Keywords:  quasicrystal      crack      plastic deformation  
Received:  11 February 2009      Revised:  28 September 2010      Accepted manuscript online: 
PACS:  61.44.Br (Quasicrystals)  
  62.20.-Jq  
  62.20.D  
Fund: Project supported by the National Natural Science Foundation of China (Grant No. 10672022).

Cite this article: 

Li Wu(李梧) and Fan Tian You(范天佑) Plastic analysis of the crack problem in two-dimensional decagonal Al-Ni-Co quasicrystalline materials of point group 10,$\overline{10}$ 2011 Chin. Phys. B 20 036101

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