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On wave dispersion characteristics of magneto-electro-elastic nanotubes considering the shell model based on the nonlocal strain gradient elasticity theory

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Abstract.

In the present study, wave propagation analysis of magneto-electro-elastic (MEE) nanotubes considering the shell model is explored in the framework of the nonlocal strain gradient elasticity theory. To take the small-scale effects into account, the nonlocal elasticity theory of Eringen is applied. Nonlocal governing equations of MEE nanotube have been derived utilizing Hamilton’s principle. The outcomes of this paper have been validated by comparing them with previous investigations. An analytical solution of governing equations is used to obtain phase velocities and wave frequencies. The influence of different parameters, such as different mode, nonlocal parameter, length parameter, geometry, magnetic field and electric field on wave propagation characteristics of MEE nanotube are reported in detail.

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Authors and Affiliations

  1. Mechanical Engineering Department, Faculty of Engineering, Imam Khomeini International University, P.O.B. 16818-34149, Qazvin, Iran

    M. Dehghan & F. Ebrahimi

Authors
  1. M. Dehghan
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  2. F. Ebrahimi
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Correspondence to F. Ebrahimi.

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Dehghan, M., Ebrahimi, F. On wave dispersion characteristics of magneto-electro-elastic nanotubes considering the shell model based on the nonlocal strain gradient elasticity theory. Eur. Phys. J. Plus 133, 466 (2018). https://doi.org/10.1140/epjp/i2018-12304-7

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  • DOI: https://doi.org/10.1140/epjp/i2018-12304-7

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