中国物理B ›› 2017, Vol. 26 ›› Issue (9): 94601-094601.doi: 10.1088/1674-1056/26/9/094601

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇    下一篇

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

Guan-Ting Liu(刘官厅), Li-Ying Yang(杨丽英)   

  1. 1 College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;
    2 College of Sciences, Inner Mongolia Agricultural University, Hohhot 010018, China
  • 收稿日期:2017-03-20 修回日期:2017-04-20 出版日期:2017-09-05 发布日期:2017-09-05
  • 通讯作者: Guan-Ting Liu E-mail:guantingliu@imnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11462020, 11262017, and 11262012) and the Key Project of Inner Mongolia Normal University, China (Grant No. 2014ZD03).

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

Guan-Ting Liu(刘官厅)1, Li-Ying Yang(杨丽英)2   

  1. 1 College of Mathematics Science, Inner Mongolia Normal University, Hohhot 010022, China;
    2 College of Sciences, Inner Mongolia Agricultural University, Hohhot 010018, China
  • Received:2017-03-20 Revised:2017-04-20 Online:2017-09-05 Published:2017-09-05
  • Contact: Guan-Ting Liu E-mail:guantingliu@imnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11462020, 11262017, and 11262012) and the Key Project of Inner Mongolia Normal University, China (Grant No. 2014ZD03).

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摘要： 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.

关键词: quasicrystals, infinitely many dislocations, semi-infinite crack, interaction

Abstract: 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.

Key words: quasicrystals, infinitely many dislocations, semi-infinite crack, interaction

中图分类号:  (General theory of continuum mechanics of solids)

  • 46.05.+b
46.50.+a (Fracture mechanics, fatigue and cracks) 61.72.Lk (Linear defects: dislocations, disclinations)