Structural Engineering and Mechanics

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Shear waves propagation in an initially stressed piezoelectric layer imperfectly bonded over a micropolar elastic half space

  • Kumar, Rajneesh (Department of Mathematics, Kurukshetra University) ;
  • Singh, Kulwinder (Department of Mathematics, Lovely Professional University) ;
  • Pathania, D.S. (Department of Mathematics, GNDEC)
  • Received : 2017.10.11
  • Accepted : 2018.08.08
  • Published : 2019.01.25
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Abstract

The present study investigates the propagation of shear waves in a composite structure comprised of imperfectly bonded piezoelectric layer with a micropolar half space. Piezoelectric layer is considered to be initially stressed. Micropolar theory of elasticity has been employed which is most suitable to explain the size effects on small length scale. The general dispersion equations for the existence of waves in the coupled structure are obtained analytically in the closed form. Some particular cases have been discussed and in one particular case the dispersion relation is in well agreement to the classical-Love wave equation. The effects of various parameters viz. initial stress, interfacial imperfection and micropolarity on the phase velocity are obtained for electrically open and mechanically free system. Numerical computations are carried out and results are depicted graphically to illustrate the utility of the problem. The phase velocity of the shear waves is found to be influenced by initial stress, interface imperfection and the presence of micropolarity in the elastic half space. The theoretical results obtained are useful for the design of high performance surface acoustic devices.

Keywords

References

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