中国物理B ›› 2003, Vol. 12 ›› Issue (10): 1149-1155.doi: 10.1088/1009-1963/12/10/317

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On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals

郭瑞平1, 范天佑1, 刘官厅2   

  1. (1)Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China; (2)Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, China
  • 收稿日期:2003-02-25 修回日期:2003-04-14 出版日期:2003-10-16 发布日期:2005-03-16
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos K19972011 and 10171058) and the Key Program of Scientific Research Foundation for Youth of Inner Mongolia Normal University (Grant No QNZ00111).

On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals

Liu Guan-Ting (刘官厅)ab, Guo Rui-Ping (郭瑞平)a, Fan Tian-You (范天佑)a   

  1. a Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China; b Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, China
  • Received:2003-02-25 Revised:2003-04-14 Online:2003-10-16 Published:2005-03-16
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos K19972011 and 10171058) and the Key Program of Scientific Research Foundation for Youth of Inner Mongolia Normal University (Grant No QNZ00111).

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摘要： The solution of elasticity problems involving the interaction between dislocations and cracks plays a fundamental role in many practical and theoretical applications. Although elasticity problems involving dislocation or cracks in quasi-crystals have been investigated in many papers, the analysis is limited to a single defect. This paper investigates the interaction of defects in one-dimensional hexagonal quasi-crystals using the complex variable function method. The interaction force between two parallel dislocations is presented and the analytic solutions of elastic fields of interaction between a dislocation and a crack are obtained. A version of the well-known Peach－Koehler formula in one-dimensional hexagonal quasi-crystals is given.

Abstract: The solution of elasticity problems involving the interaction between dislocations and cracks plays a fundamental role in many practical and theoretical applications. Although elasticity problems involving dislocation or cracks in quasi-crystals have been investigated in many papers, the analysis is limited to a single defect. This paper investigates the interaction of defects in one-dimensional hexagonal quasi-crystals using the complex variable function method. The interaction force between two parallel dislocations is presented and the analytic solutions of elastic fields of interaction between a dislocation and a crack are obtained. A version of the well-known Peach－Koehler formula in one-dimensional hexagonal quasi-crystals is given.

Key words: one-dimensional hexagonal quasi-crystals, dislocation, crack, interaction

中图分类号:  (Interaction between different crystal defects; gettering effect)

  • 61.72.Yx
61.72.Lk (Linear defects: dislocations, disclinations) 61.44.Br (Quasicrystals) 61.72.Bb (Theories and models of crystal defects)