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Applied Mathematics and Mechanics

, Volume 39, Issue 9, pp 1259–1266 | Cite as

Study on a straight dislocation in an icosahedral quasicrystal with piezoelectric effects

  • Lianhe LiEmail author
  • Guanting Liu
Article

Abstract

An electro-elastic analysis is performed on an icosahedral quasicrystal with piezoelectric effects containing a straight dislocation. The closed-form expressions for the elastic and electric fields are obtained using the extended Stroh formalism. The effects of piezoelectric constant on the phonon displacement, phason displacement, and electric potential are discussed in detail.

Key words

icosahedral quasicrystal piezoelectric effect Stroh formalism dislocation 

Chinese Library Classification

O344.3 

2010 Mathematics Subject Classification

74C20 

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Copyright information

© Shanghai University and Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.College of Mathematics ScienceInner Mongolia Normal UniversityHuhhotChina
  2. 2.Inner Mongolia Key Laboratory of Nanoscience and NanotechnologyInner Mongolia UniversityHuhhotChina

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