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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 |
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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.
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Received: 11 February 2009
Revised: 28 September 2010
Accepted manuscript online:
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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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[1] |
Feuerbacher M and Urban K 2003 Plastic Behaviour of Quasicrystalline Materials (Berlin: Wiely Press)
|
[2] |
Wollgarten M, Beyss M, Urban K, Lebertz H and Koster U 1993 Phys. Rev. Lett. 71 549
|
[3] |
Rosenfeld R and Feuerbacher M 1995 Phil. Mag. Lett. 72 375
|
[4] |
Schall P, Feuerbacher M and Messerchmidt U 1999 Phil. Mag. Lett. 79 785
|
[5] |
Geyer B, Bartsch M Feuerbacher M and Urban K 2000 Phil. Mag. A 80 1151
|
[6] |
Feuerbacher M, Bartsch M and Messerchmidt U 1997 Phil. Mag. Lett. 76 369
|
[7] |
Messerchmidt U, Bartsch M and Feuerbacher M 1999 Phil. Mag. A 79 2123
|
[8] |
Takeuchi S, Shinoda K and Yoshida T 1991 Proceedings of the Sixth International Conference on Quasicrystals Tokyo (Singapore: World Scientific)
|
[9] |
Ebert Ph, Feuerbacher M and Tamura N 1996 Phys. Rev. Lett. 77 3827
|
[10] |
Takakura H, Shiono M and Sato T J 2001 Phys. Rev. Lett. 86 236
|
[11] |
Fan T Y, Trebin H R, Messerschmidt U and Mai Y W 2004 J. Phys: Condens. Matter 16 5229
|
[12] |
Fan T Y and Fan L 2008 Phil. Mag. 88 305
|
[13] |
Li L H and Fan T Y 2006 J. Phys: Condens. Matter 18 10631
|
[14] |
Ding D H, Yang W G, Hu C Z and Wang R H 1993 Phys. Rev. B 48 7003
|
[15] |
Ding D H, Wang R H, Yang W G and Hu C Z 1995 J. Phys: Condens. Matter 7 5423
|
[16] |
Fan T Y, Wang X F and Zhu A Y 2009 Chin. Phys. B 18 709
|
[17] |
Fan T Y and Zhu A Y 2007 Chin. Phys. 16 1111
|
[18] |
Li L H 2010 Chin. Phys. B 19 046101
|
[19] |
Cheminkov M A and Bianchi A 1998 Phys. Rev. Lett. 80 321
|
[20] |
Jeong H C and Steinhardt P J 1993 Phys. Rev. B 48 9394
|
[21] |
Edagawa K 2007 Phil. Mag. 87 2789 endfootnotesize
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