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Impact of interfacial imperfection on transverse wave in a functionally graded piezoelectric material structure with corrugated boundaries

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Abstract.

The propagation behavior of Love-type wave in a corrugated functionally graded piezoelectric material layered structure has been taken into account. Concretely, the layered structure incorporates a corrugated functionally graded piezoelectric material layer imperfectly bonded to a functionally graded piezoelectric material half-space. An analytical treatment has been employed to determine the dispersion relation for both cases of electrically open condition and electrically short condition. The phase velocity of the Love-type wave has been computed numerically and its dependence on the wave number has been depicted graphically for a specific type of corrugated boundary surfaces for both said conditions. The crux of the study lies in the fact that the imperfect bonding of the interface, the corrugated boundaries present in the layer, and the material properties of the layer and the half-space strongly influence the phase velocity of the Love-type wave. It can be remarkably noted that the imperfect bonding of the interface reduces the phase velocity of the Love-type wave significantly. As a special case of the problem, it is noticed that the procured dispersion relation for both cases of electrically open and electrically short conditions is in accordance with the classical Love wave equation.

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Authors and Affiliations

  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), 826004, Dhanbad, Jharkhand, India

    Abhishek Kumar Singh, Santan Kumar & Richa Kumari

Authors
  1. Abhishek Kumar Singh
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  2. Santan Kumar
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  3. Richa Kumari
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Correspondence to Santan Kumar.

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Kumar Singh, A., Kumar, S. & Kumari, R. Impact of interfacial imperfection on transverse wave in a functionally graded piezoelectric material structure with corrugated boundaries. Eur. Phys. J. Plus 133, 120 (2018). https://doi.org/10.1140/epjp/i2018-11935-x

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  • DOI: https://doi.org/10.1140/epjp/i2018-11935-x

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