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JOURNALS // Prikladnaya Mekhanika i Tekhnicheskaya Fizika // Archive

Prikl. Mekh. Tekh. Fiz., 2010 Volume 51, Issue 5, Pages 155–167 (Mi pmtf1650)

This article is cited in 7 papers

Effect of rotation on Rayleigh–Lamb waves in an isotropic generalized thermoelastic diffusive plate

R. Kumar, T. Kansal

Kurukshetra University, Kurukshetra, 136119, India

Abstract: The present investigation is aimed at studying the effect of rotation on propagation of Rayleigh–Lamb waves in a homogeneous isotropic thermoelastic diffusive plate of finite width in the framework of different theories of thermoelasticity, including the Coriolis and centrifugal forces. The medium is subjected to stress-free, thermally insulated, isothermal, and chemical potential boundary conditions and is rotating about an axis perpendicular to its plane. Secular equations corresponding to the symmetric and skew-symmetric modes of the plate are derived. Phase velocities and attenuation coefficients of various possible modes of wave propagation are computed from the secular equations. Amplitudes of displacements, temperature, and concentration for symmetric and skew-symmetric modes of plate vibrations are computed numerically. The computed results are presented graphically.

Keywords: wave propagation, isotropic material, generalized thermoelastic diffusion, rotation, phase velocity, attenuation coefficient.

UDC: 532.135; 539.3

Received: 30.04.2009


 English version:
Journal of Applied Mechanics and Technical Physics, 2010, 51:5, 751–761

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