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1 International Journal of Applied Mechanics and Engineering

1 2007

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Propagation of micropolar thermoelastic waves in plate

Kumar R., Partap G.

International Journal of Applied Mechanics and Engineering

2007

Vol. 12, no 3

655-675

The propagation of waves in a homogeneous isotropic micropolar thermoelastic plate subjected to stress free and rigidly fixed boundary conditions is investigated. The theory of micropolar thermoelasticity without energy dissipation has been taken to study the problem The secular equations for homogeneous isotropic micropolar thermoelastic plate without energy dissipation in closed form for symmetric and skew symmetric wave modes of propagation are derived. The different regions of secular equations are obtained. At short wavelength limits, the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation. The results for thermoelastic, micropolar elastic and elastic materials are obtained as particular cases from the derived secular equations. The amplitudes of displacement components, microrotation and temperature distribution are also computed during the symmetric and skew symmetric motion of the plate. The dispersion curves for symmetric and skew symmetric modes and amplitudes of displacement components, microrotation and temperature distribution in the case of fundamental symmetric and skew symmetric modes are presented graphically. The analytical and numerical results are found to be in close agreement.