Poro-Thermoelastic Waves in a Homogeneous Anisotropic Plate Plunged in the Inviscid Fluid

Abstract

This paper inspects the behavior of thermoelastic waves in the homogeneous, transversely isotropic plate containing voids immersed in the inviscid fluid in reference to the one-temperature generalized model of thermoelasticity. The basic governing equations for the solid plate have been developed in the context of the linear theory of poro-thermoelasticity. Helmholtz decomposition principle has been employed to solve the equations of motion for liquid. For the stress-free solid-liquid interfaces, the isothermal and thermally insulated boundary conditions have been applied simultaneously on the obtained solutions. The solutions of governing equations reveal that there exists a coupled system of waves namely thermal waves, void wave motion, and elastic waves, and a decoupled purely transverse wave. Apart from that, one mechanical wave in each liquid layer also exists. The secular equation for anti-symmetric and symmetric modes of vibration has been derived which better explains wave motion. To unveil the wave characteristics, the numerical–functional iteration technique has been employed for generating numerical data and results have been validated by tracing out the various graphs. The effects of temperature change, as well as voids in the solid plate and inviscid liquid in the neighborhood of the plate, have been noticed on phase velocity, attenuation coefficient, etc

Generalized thermoelastic waves in a homogeneous anisotropic plate with voids

“…The secular equation for the continuation of vibrations for the mode numbers in the considered cylinder has been deduced. Pathania and Dhiman [33,34] studied the Rayleigh-Lamb waves in the homogeneous isotropic, and anisotropic thermoelastic plate with vacuous cavities, sandwiched between inviscid fluid layers on both sides in the context of LS generalization. In the preview of generalized thermoelasticity, Sharma et al [35] studied the free vibrations in the nonlocal transversely isotropic electro-magneto thermoelastic hollow cylinder with voids.…”