Interaction between infinitely many dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal

• Published in: Chinese physics B Vol. 26; no. 9; pp. 280 - 284
• Main Author: 刘官厅 杨丽英
• Format: Journal Article
• Language: English
• Published: 01.08.2017
• Subjects: 一维; 位错; 六方; 准晶; 函数理论; 半无限裂纹; 相互作用; 裂纹尖端
• ISSN: 1674-1056; 2058-3834
• DOI: 10.1088/1674-1056/26/9/094601

By means of analytic function theory, the problems of interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are studied. The analytic solutions of stress fields of the interaction between infinitely many parallel dislocations and a semi-infinite crack in one-dimensional hexagonal quasicrystal are obtained. They indicate that the stress concentration occurs at the dislocation source and the tip of the crack, and the value of the stress increases with the number of the dislocations increasing. These results are the development of interaction among the finitely many defects of quasicrystals, which possesses an important reference value for studying the interaction problems of infinitely many defects in fracture mechanics of quasicrystal.