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AXISYMMETRIC WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC FUNCTIONALLY GRADE CYLINDER

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Abstract—

Exact solution of the axisymmetric wave propagation problem in the functionally graded transversely isotropic cylinder with axial polarization is derived in Bessel functions and algorithmic form which is simple to program for numerical simulations. The spectral diagrams of the travelling and evanescent wave propagation are plotted for cylinders which are made in the form of concentric layers from PZT-4, PZT-5H and PZT-7A piezoceramics. The qualitative and quantitative peculiarities of the travelling and evanescent waves are discussed for different structural composition of the functionally graded structures and for open- and close-ciruit regimes of electric boundary conditions.

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Funding

The work was financially supported by SA (NRF)/RUSSIA (RFBR) joint science and technology research collaboration (project no. 19-51-60001).

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Authors and Affiliations

  1. Department of Mathematics and Statistics of Tshwane University of Technology (TUT), Meering Naude Road, Pretoria, Republic of South Africa

    M. Shatalov, P. Skhosana & A. Mkolesia

  2. Ishlinskii Institute for Problems in Mechanics of the Russian Academy of Sciences (IPMech RAS), Moscow, Russia

    E. V. Murashkin

  3. Department of Mechanical Engineering Science, University of Johannesburg, Auckland, Johannesburg, Republic of South Africa

    R. M. Mahamood

  4. Department of Materials and Metallurgical Engineering, University of Ilorin, Ilorin, Nigeria

    R. M. Mahamood

Authors
  1. M. Shatalov
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  2. E. V. Murashkin
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  3. R. M. Mahamood
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  4. P. Skhosana
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  5. A. Mkolesia
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Corresponding authors

Correspondence to M. Shatalov, E. V. Murashkin or R. M. Mahamood.

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Shatalov, M., Murashkin, E.V., Mahamood, R.M. et al. AXISYMMETRIC WAVE PROPAGATION IN TRANSVERSELY ISOTROPIC PIEZOELECTRIC FUNCTIONALLY GRADE CYLINDER. Mech. Solids 56, 1091–1102 (2021). https://doi.org/10.3103/S0025654421060169

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  • DOI: https://doi.org/10.3103/S0025654421060169

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