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Structural Engineering and Mechanics
  Volume 61, Number 1, January10 2017, pages 65-76

In-plane and out-of-plane waves in nanoplates immersed in bidirectional magnetic fields
Keivan Kiani, Saeed Asil Gharebaghi and Bahman Mehri

    Prediction of the characteristics of both in-plane and out-of-plane elastic waves within conducting nanoplates in the presence of bidirectionally in-plane magnetic fields is of interest. Using Lorentz\'s formulas and nonlocal continuum theory of Eringen, the nonlocal elastic version of the equations of motion is obtained. The frequencies as well as the corresponding phase and group velocities pertinent to the in-plane and out-of-plane waves are analytically evaluated. The roles of the strength of in-plane magnetic field, wavenumber, wave direction, nanoplate\'s thickness, and small-scale parameter on characteristics of waves are discussed. The obtained results show that the in-plane frequencies commonly grow with the in-plane magnetic field. However, the transmissibility of the out-of-plane waves rigorously depends on the magnetic field strength, direction of the propagated transverse waves, small-scale parameter, and thickness of the nanoplate. The criterion for safe transferring of the out-of-plane waves through the conducting nanoplate immersed in a bidirectional magnetic field is also explained and discussed.
Key Words
    conducting nanoplate; in-plane and out-of-plane waves; bidirectional magnetic field; Nonlocal Kirchhoff plate theory
Keivan Kiani, Saeed Asil Gharebaghi: Department of Civil Engineering, K.N. Toosi University of Technology, Tehran, Iran
Bahman Mehri: Department of Mathematical Sciences, Sharif University of Technology, Tehran, Iran

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