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Wave Propagation in Piezoelectric Medium with the Flexoelectric Effect Considered

Published online by Cambridge University Press:  18 September 2017

F. Y. Jiao ,
P. J. Wei  and
Y. Q. Li
F. Y. Jiao
Affiliation:
Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface ScienceUniversity of Science and Technology BeijingBeijing, China Department of Applied MechanicsUniversity of Science and Technology BeijingBeijing, China
P. J. Wei*
Affiliation:
Beijing Key Laboratory for Magneto-Photoelectrical Composite and Interface ScienceUniversity of Science and Technology BeijingBeijing, China Department of Applied MechanicsUniversity of Science and Technology BeijingBeijing, China
Y. Q. Li
Affiliation:
Department of MathematicsQiqihar UniversityQiqihar, China
*
*Corresponding author ([email protected])
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Abstract

With the consideration of the flexoelectric effect, the dispersion feature of plane waves propagating in infinite piezoelectric medium and the reflection amplitude ratio at a mechanically traction-free and dielectrically charge-free surface of semi-infinite piezoelectric half-space are studied in this paper. The flexoelectric effect is essentially the microstructure effect of heterogeneous piezoelectric medium. Besides, the strain gradient effect and the micro-inertial effect are also introduced to reflect the influences of the microstructure. Different from the classical piezoelectric medium, there are five kinds of coupled elastic waves in the microstructured piezoelectric medium. The influences of the flexoelectric effect, the strain gradient effect and the micro-inertial effect upon the dispersion feature of the coupled elastic waves and the reflection amplitude ratio are studied numerically. The numerical results are shown graphically and are validated by the energy conservation law. It is found that these microstructure effects have obvious influences upon the dispersion feature of the coupled elastic waves and therefore also affect the reflection energy partition at the mechanically free surface. Especially, the micro-inertial effect has fundamental influences on the dispersion properties of the coupled elastic waves.

Keywords

Flexoelectric effectMicrostructureDispersion relationReflection
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 1 , February 2019 , pp. 51 - 63
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2019 

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