RAYLEIGH-LAMB WAVES IN MICROPOLAR THERMOELASTIC PLATE COATED WITH INVISCID FLUID

摘要

The propagation of Rayleigh-Lamb waves in a micropolar generalized thermoelastic plate coated with an inviscid fluid is investigated in the context of Lord and Shulman (L-S), Green and Lindsay (G-L) and Chandrasekhariah and Tzou (C-T) theories of thermoelasticity. The secular equations for the symmetric and skew-symmetric mode propagation are derived. The regions and short wavelength waves of secular equations are also discussed. At short wavelength limits, the secular equations reduce to the Rayleigh surface wave frequency equation. Finally, the numerical solution is carried out for a magnesium crystal composite material plate coated with water layers. The dispersion curves, attenuation coefficients and amplitudes of stresses and temperature distribution for symmetric and skew-symmetric wave modes are computed analytically and presented graphically. This work could be useful in underwater acoustics. The present study has immense applications to defence science, mainly in geophysical problems, such as water-covered or oil-covered layers in the earth's crust.