On the interaction between dislocations and cracks in one-dimensional hexagonal quasi-crystals |
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| Authors: | Liu Guan-Ting Guo Rui-Ping Fan Tian-You |
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| Affiliation: | Department of Applied Physics, Beijing Institute of Technology, Beijing 100081, China; Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022, China |
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| 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. |
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| Keywords: | one-dimensional hexagonal quasi-crystals dislocation crack interaction |
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