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
a Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China; b Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, China
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.
Received: 25 February 2003
Revised: 14 April 2003
Accepted manuscript online:
PACS:
61.72.Yx
(Interaction between different crystal defects; gettering effect)
Fund: 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).
Cite this article:
Liu Guan-Ting (刘官厅), Guo Rui-Ping (郭瑞平), Fan Tian-You (范天佑) On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals 2003 Chinese Physics 12 1149
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