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2017 Volume 26 Issue 4
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Li-Juan Jiang, Guan-Ting Liu. 2017: The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals, Chinese Physics B, 26(4): 245-251. doi: 10.1088/1674-1056/26/4/044601
Citation: Li-Juan Jiang, Guan-Ting Liu. 2017: The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals, Chinese Physics B, 26(4): 245-251. doi: 10.1088/1674-1056/26/4/044601
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The interaction between a screw dislocation and a wedge-shaped crack in one-dimensional hexagonal piezoelectric quasicrystals

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

  • Available Online: 30/12/2017
  • Fund Project: the National Natural Science Foundation of China(Grant .11262017,11262012,and 11462020)%the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant 2015MS0129)%the Programme of Higher-level Talents of Inner Mongolia Normal University(Grant RCPY-2-2012-K-035)%the Key Project of Inner Mongolia Normal University(Grant 2014ZD03)
  • 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 onc-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.
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    沈阳化工大学材料科学与工程学院 沈阳 110142

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

  • Available Online: 30/12/2017

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 onc-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.

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