中国物理B ›› 1999, Vol. 8 ›› Issue (4): 288-295.doi: 10.1088/1004-423X/8/4/007

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A MOVING SCREW DISLOCATION IN A ONE-DIMENSIONAL HEXAGONAL QUASICRYSTAL

范天佑, 李显方, 孙应飞   

  1. Research Centre of Materials Science, Beijing Institute of Technology, Beijing 100081, China
  • 收稿日期:1998-09-29 修回日期:1999-01-14 出版日期:1999-04-15 发布日期:1999-04-20
  • 基金资助:
    Project supported by the Doctoral Program Foundation of Institution of Higher Education of China.

A MOVING SCREW DISLOCATION IN A ONE-DIMENSIONAL HEXAGONAL QUASICRYSTAL

Fan Tian-you (范天佑), Li Xian-fang (李显方), Sun Ying-fei (孙应飞)   

  1. Research Centre of Materials Science, Beijing Institute of Technology, Beijing 100081, China
  • Received:1998-09-29 Revised:1999-01-14 Online:1999-04-15 Published:1999-04-20
  • Supported by:
    Project supported by the Doctoral Program Foundation of Institution of Higher Education of China.

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摘要： This paper extends a moving screw dislocation theory in a conventional crystal to a one-dimensional hexagonal quasicrystal in the framework of the Landau theory. By introducing two functions φ and ψ which satisfy wave equations, respectively, a general solution is suggested in terms of φ and ψ. The analytical expressions for displacement and stress fields induced by a moving screw dislocation as well as the energy are found. The results obtained here when imposing the condition that the phason fields is absent reduce to those for a moving screw dislocation in a crystal.

Abstract: This paper extends a moving screw dislocation theory in a conventional crystal to a one-dimensional hexagonal quasicrystal in the framework of the Landau theory. By introducing two functions $\varphi$ and $\psi$ which satisfy wave equations, respectively, a general solution is suggested in terms of $\varphi$ and $\psi$. The analytical expressions for displacement and stress fields induced by a moving screw dislocation as well as the energy are found. The results obtained here when imposing the condition that the phason fields is absent reduce to those for a moving screw dislocation in a crystal.

中图分类号:  (Quasicrystals)

  • 61.44.Br
61.72.Hh (Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.)) 62.20.D- (Elasticity) 81.40.Jj (Elasticity and anelasticity, stress-strain relations)