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

doi:10.1088/1674-1056/20/3/036101

中国物理B ›› 2011, Vol. 20 ›› Issue (3): 36101-036101.doi: 10.1088/1674-1056/20/3/036101

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

范天佑¹, 李梧²

(1)Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Mathematics, School of Science, Beijing Institute of Technology, Beijing 100081, China;Institute of Applied Mathematics, Xuchang University, Xuchang 461000, China

收稿日期:2009-02-11 修回日期:2010-09-28 出版日期:2011-03-15 发布日期:2011-03-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 10672022).

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

Received:2009-02-11 Revised:2010-09-28 Online:2011-03-15 Published:2011-03-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 10672022).

摘要/Abstract

摘要： 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.

关键词: quasicrystal, crack, plastic deformation

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.

Key words: quasicrystal, crack, plastic deformation

中图分类号: (Quasicrystals)

61.44.Br

李梧, 范天佑. Plastic analysis of the crack problem in two-dimensional decagonal Al-Ni-Co quasicrystalline materials of point group 10,10[J]. 中国物理B, 2011, 20(3): 36101-036101.

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,$\overline{10}$[J]. Chin. Phys. B, 2011, 20(3): 36101-036101.

参考文献 21

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

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

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