Abstract In this investigation, a computational analysis is conducted to study magneto-thermoelastic problem for an isotropic perfectly conducting half-space medium. The medium subjected periodic heat flow in the presence of continuous longitude magnetic field. Based on Moore–Gibson–Thompson equation, new generalized model has been investigated address considered problem. introduced can be form...

Rayleigh waves in a half-space exhibiting microplar transversely isotropic generalized thermoelastic properties based on the Lord-Shulman (L-S), Green and Lindsay (G-L) and Coupled thermoelasticty (C-T) theories are discussed. The phase velocity and attenuation coefficient in the previous three different theories have been obtained. A comparison is carried out of the phase velocity, attenuation...

Under the action of a stationary heat source, we construct Boussinesq functions problem thermoelasticity under conditions plane deformation semiinfinite body with free, rigidly, smoothly, or flexibly fastened boundary either kept at zero temperature thermally insulated. The construction is reduced to solving boundary-value problems for harmonic in half space. Relations displacements and stresse...

The problem of fully coupled thermoelasticity in a composite half-space is considered where the composite has variations in its physical properties in one direction only. The resulting one dimensional problem thus depends on the so called microscale of the composite. Homogenization of the fully coupled theory provides the leading order system of coupled equations (independent of the microscale)...

The present paper concerns with the effect of initial stress on the propagation of plane waves in a rotating transversely isotropic medium in the context of thermoelasticity theory of GN theory of type-II and III. After solving the governing equations, three waves propagating in the medium are obtained. The fastest among them is a quasi-longitudinal wave. The slowest of them is a thermal wave. ...

In this work, we apply the fractional order thermoelasticity diffusion theory to a problem for a halfspace. The surface is taken to be traction free and subjected to a time dependent thermal shock. The chemical potential is assumed to be a known function of time on the bounding plane. Laplace and exponential Fourier transform techniques are used to obtain the solution by a direct approach. The ...