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Advances in Nano Research Volume 7, Number 1, January 2019 , pages 1-11 DOI: https://doi.org/10.12989/anr.2019.7.1.001 |
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Eringen's nonlocal elasticity theory for wave propagation analysis of magneto-electro-elastic nanotubes |
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Farzad Ebrahimi, M. Dehghan and Ali Seyfi
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| Abstract | ||
| In this article, wave propagation characteristics in magneto-electro-elastic (MEE) nanotube considering shell model is studied in the framework nonlocal theory. To account for the small-scale effects, the Eringen's nonlocal elasticity theory of is applied. Nonlocal governing equations of MEE nanotube have been derived utilizing Hamilton's principle. The results of this investigation have been accredited by comparing them of previous studies. An analytical solution of governing equations is used to obtain phase velocities and wave frequencies. The influences of different parameters, such as different mode, nonlocal parameter, length parameter, geometry, magnetic field and electric field on wave propagation responses of MEE nanotube are expressed in detail. | ||
| Key Words | ||
| wave propagation; magneto-electro-elastic nanotube; nonlocal strain gradient elasticity theory; shell model | ||
| Address | ||
| Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, Qazvin, Iran. | ||