中国物理B ›› 2017, Vol. 26 ›› Issue (4): 44601-044601.doi: 10.1088/1674-1056/26/4/044601

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

The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals

Li-Juan Jiang(姜丽娟), Guan-Ting Liu(刘官厅)   

  1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • 收稿日期:2016-09-12 修回日期:2016-11-07 出版日期:2017-04-05 发布日期:2017-04-05
  • 通讯作者: Li-Juan Jiang, Guan-Ting Liu E-mail:1530284866@qq.com;guantingliu@imnu.edu.cn
  • 基金资助:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11262017, 11262012, and 11462020), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2015MS0129), the Programme of Higher-level Talents of Inner Mongolia Normal University (Grant No. RCPY-2-2012-K-035), and the Key Project of Inner Mongolia Normal University (Grant No. 2014ZD03).

The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals

Li-Juan Jiang(姜丽娟), Guan-Ting Liu(刘官厅)   

  1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
  • Received:2016-09-12 Revised:2016-11-07 Online:2017-04-05 Published:2017-04-05
  • Contact: Li-Juan Jiang, Guan-Ting Liu E-mail:1530284866@qq.com;guantingliu@imnu.edu.cn
  • Supported by:

    Project supported by the National Natural Science Foundation of China (Grant Nos. 11262017, 11262012, and 11462020), the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2015MS0129), the Programme of Higher-level Talents of Inner Mongolia Normal University (Grant No. RCPY-2-2012-K-035), and the Key Project of Inner Mongolia Normal University (Grant No. 2014ZD03).

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摘要：

Based on the fundamental equations of piezoelasticity of quasicrystal material, we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal quasicrystals. Explicit analytical solutions are obtained for stress and electric displacement intensity factors of the crack, as well as the force on dislocation. The derivation is based on the conformal mapping method and the perturbation technique. The influences of the wedge angle and dislocation location on the image force are also discussed. The results obtained in this paper can be fully reduced to some special cases already available or deriving new ones.

关键词: one-dimensional hexagonal piezoelectric quasicrystals, dislocation, wedge-shaped crack, interaction

Abstract:

Based on the fundamental equations of piezoelasticity of quasicrystal material, we investigated the interaction between a screw dislocation and a wedge-shaped crack in the piezoelectricity of one-dimensional hexagonal quasicrystals. Explicit analytical solutions are obtained for stress and electric displacement intensity factors of the crack, as well as the force on dislocation. The derivation is based on the conformal mapping method and the perturbation technique. The influences of the wedge angle and dislocation location on the image force are also discussed. The results obtained in this paper can be fully reduced to some special cases already available or deriving new ones.

Key words: one-dimensional hexagonal piezoelectric quasicrystals, dislocation, wedge-shaped 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)