On Lamb-type waves in a poro-thermoelastic plate immersed in the inviscid fluid

Abstract

The Lamb-type waves in the homogeneous isotropic thermally conducting porous plate immersed in the inviscid fluid in the context of the Lord and Shulman theory of thermoelasticity are studied. To seek out solutions, the Helmholtz decomposition technique is used. Plugging the solutions in the appropriate boundary conditions, a secular equation is derived for the symmetric and anti-symmetric family of wave modes. It is found that shear horizontal wave mode uncouples itself from the coupled system of waves. Particular cases of the secular equation have also been deduced in the absence of fluid or certain energy fields such as thermal field and/or volume fractional field. Different regions of the secular equation are obtained. Furthermore, these regions have been led to peculiar cases such as short-wavelength, and long-wavelength waves. The amplitude of displacement, change in volume fraction field, and temperature distribution is computed and compared with prior accomplished research work. The numerical computations are carried out for a porous magnesium plate immersed in water to understand the behavioral pattern of waves, and the various graphs are plotted to defend the analytical findings.