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On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals
Authors:Liu Guan-Ting  Guo Rui-Ping  Fan Tian-You
Affiliation:Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China; 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.
Keywords:one-dimensional hexagonal quasi-crystals   dislocation   crack   interaction
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