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Chin. Phys. B, 2017, Vol. 26(4): 044601    DOI: 10.1088/1674-1056/26/4/044601
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

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)
College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China
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.

Keywords:  one-dimensional hexagonal piezoelectric quasicrystals      dislocation      wedge-shaped crack      interaction  
Received:  12 September 2016      Revised:  07 November 2016      Published:  05 April 2017
PACS:  46.05.+b (General theory of continuum mechanics of solids)  
  46.50.+a (Fracture mechanics, fatigue and cracks)  
  61.72.Lk (Linear defects: dislocations, disclinations)  
Fund: 

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).

Corresponding Authors:  Li-Juan Jiang, Guan-Ting Liu     E-mail:  1530284866@qq.com;guantingliu@imnu.edu.cn

Cite this article: 

Li-Juan Jiang(姜丽娟), Guan-Ting Liu(刘官厅) The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals 2017 Chin. Phys. B 26 044601

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