A screw dislocation interacting with a wedge-shaped crack in one-dimensional hexagonal quasicrystals

Li Lian-He; Liu Guan-Ting

doi:10.7498/aps.61.086103

Abstract

The interaction between a screw dislocation and a semi-infinite wedge-shaped crack in one-dimensional hexagonal quasicrystal is investigated by the conformal transformation method and the perturbation technique. Analytical solutions are obtained for the stress intensity factor of crack, and the force on dislocation. The effects of the dislocation location and the wedge angle on the image force of the dislocation are revealed. At the same time the influence of the dislocation on crack behaviour is also discussed in detail. The corresponding results of the sharp crack can be obtained as a special case of the present solutions (i.e. =1/2).

Keywords:

Authors and contacts

1.
College of Mathematical Science, Inner Mongolia Normal University, Huhhot 010022, China
Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11026175, 11061019), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant Nos. 2009MS0102, 2009BS0104), and the Scientific Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region, China (Grant Nos. NJ08024, NJ10047).

References

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Cited By

[1]	Shechtman D, Blech I, Gratias D, Cahn J W 1984 Phys. Rev. Lett. 53 1951
[2]	Bak P 1985 Phys. Rev. B 32 5764
[3]	Levine D, Steinhardt P J 1984 Phys. Rev. Lett. 53 2477
[4]	Socolar J E S, Lubensky T C, Steinhardt P J 1986 Phys. Rev. B 34 3345
[5]	Zhang Z, Urban K 1989 Philos. Mag. Lett. 60 97
[6]	Ebalard S, Spaepen F J 1989 Mater. Res. 4 39
[7]	Fan T Y, Mai Y W 2004 Appl. Mech. Rev. 57 325
[8]	Hu C Z, Wang R H, Ding D H 2000 Rep. Prog. Phys. 63 1
[9]	De P, Pelcovits A 1987 Phys. Rev. B 35 8609
[10]	Li X F, Fan T Y, Sun Y F 1999 Philos. Mag. A 79 1943
[11]	Peng Y Z, Fan T Y 2002 Physica B 311 326
[12]	Li L H, Fan T Y 2008 Sci. China E 51 1
[13]	Ding D H, Yang W G, Hu C Z 1993 Phys. Rev. B 48 7003
[14]	Muskhelishvili N I 1963 Some Basic Problems of Mathematical Theory of Elasticity (Noordhoff: Groningen) pp123---132
[15]	Ohr S M, Chang S J, ThomsonR J 1985 Appl. Phys. 57 1839
[16]	Li X F, Fan T Y 1999 Phys. Stat. Sol. B 212 19

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Catalog

Vol. 61, Issue 8 - 2012-04-20

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