Propagation of waves in micropolar generalized thermoelastic materials with two temperatures bordered with layers or half-spaces of inviscid liquid

Abstract

The aim of the present paper is to study the propagation of Lamb waves in micropolar generalized thermoelastic solids with two temperatures bordered with layers or half-spaces of inviscid liquid subjected to stress-free boundary conditions in the context of Green and Lindsay (G-L) theory. The secular equations for governing the symmetric and skew-symmetric leaky and nonleaky Lamb wave modes of propagation are derived. The computer simulated results with respect to phase velocity, attenuation coefficient, amplitudes of dilatation, microrotation vector and heat flux in case of symmetric and skew-symmetric modes have been depicted graphically. Moreover, some particular cases of interest have also been discussed.

Normal Mode Analysis to a Poroelastic Half-Space Problem under Generalized Thermoelasticity

“…Bai and Li (2013) developed a spherical space with a spherical cavity based on the irreversible governing equations of saturated porous thermoelastic media and subjected it to variable mechanical and thermal loads. Kumar et al (2014) investigated the propagation of Lamb waves in solids with layers or half-spaces of inviscid liquid subjected to stress-free boundary conditions in the context of the Green and Lindsay theory of generalized thermoelasticity. Ailawalia and Singla (2016) solved an infinite homogeneous isotropic generalized thermoelastic problem under the Lord and Shulman theory of generalized thermoelasticity.…”

Thermoelastic slowness surfaces in anisotropic media with thermal relaxation

“…Chiriţă (2013) studied the Rayleigh surface waves on an anisotropic homogeneous thermoelastic half space. Kumar et al (2014) studied the propagation of Lamb waves in micropolar generalized thermoelastic solids with two temperatures bordered with layers or half-spaces of inviscid liquid subjected to stress-free boundary conditions in the context of generalized theory of thermoelasticity with thermal relaxation. Sura and Kanoria, (2014) studied he thermo-visco-elastic interaction due to step input of temperature on the stress free boundaries of a homogeneous visco-elastic isotropic spherical shell in the context of a new consideration of heat conduction with fractional order generalized thermoelasticity.…”