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Influence of imperfectly bonded piezoelectric layer with irregularity on propagation of Love-type wave in a reinforced composite structure

  • Singh, Abhishek Kumar (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Chaki, Mriganka Shekhar (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Hazra, Bristi (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines)) ;
  • Mahto, Shruti (Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines))
  • Received : 2016.08.21
  • Accepted : 2017.01.19
  • Published : 2017.05.10

Abstract

The present paper investigates the propagation of Love-type wave in a composite structure comprised of imperfectly bonded piezoelectric layer with lower fiber-reinforced half-space with rectangular shaped irregularity at the common interface. Closed-form expression of phase velocity of Love-type wave propagating in the composite structure has been deduced analytically for electrically open and short conditions. Some special cases of the problem have also been studied. It has been found that the obtained results are in well-agreement to the Classical Love wave equation. Significant effects of various parameters viz. irregularity parameter, flexibility imperfectness parameter and viscoelastic imperfectness parameter associated with complex common interface, dielectric constant and piezoelectric coefficient on phase velocity of Love-type wave has been reported. Numerical computations and graphical illustrations have been carried out to demonstrate the deduced results for various cases. Moreover, comparative study has been performed to unravel the effects of the presence of reinforcement and piezoelectricity in the composite structure and also to analyze the existence of irregularity and imperfectness at the common interface of composite structure in context of the present problem which serves as a salient feature of the present study.

Keywords

Acknowledgement

Grant : Mathematical Study on Wave Propagation Aspects in Piezoelectric Composite Structures with Complexities

Supported by : Department of Science and Technology, Science & Engineering Research Board (DST-SERB)

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