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

• 来源期刊: 中国物理（英文版）
• 关键词: one-dimensional hexagonal quasi-crystals dislocation crack interaction
• 年，卷（期）: 2003,（10）
• 页码范围: 1149-1155
• 页数: 7页
• 语种: 英文

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.