Objective: To investigate the effect of voids on propagation plane waves in a generalized thermo-elastic solid. Method: The method harmonic solution is employed to solve basic equations void solids. Findings: Under and non-voids, three sets longitudinal are derived, they not appeared any classical theory elasticity. But one transverse wave derived these results coinciding with Novelty: MATLAB p...

An interesting feature that appears in the thermoelastic interaction an orthotropic material containing cylindrical cavities is addressed this study. For purpose, Finite Element Method applied to analyze a generalized thermoelasticity theory with relaxation time. development of model, thermal conductivity dependent on temperature medium was considered. The boundary condition for internal surfac...

In this paper, a new mathematical model of a Kelvin-Voigt type thermo-visco-elastic, infinite thermally conducting medium has been considered in the context of a new consideration of heat conduction having a non-local fractional order due to the presence of periodically varying heat sources. Three-phase-lag thermoelastic model, Green Naghdi models II and III (i.e., the models which predicts the...

In this work we establish a local existence and a blow up result for a multidimensional nonlinear system of thermoelasticity with second sound.

The present study is concerned with the propagation of Lamb waves in a homogeneous isotropic thermoelastic micropolar solid with two temperatures bordered with layers or half spaces of inviscid liquid subjected to stress free boundary conditions. The generalized theory of thermoelasticity developed by Lord and Shulman has been used to investigate the problem. The secular equations for symmetric...

The present work deals with a new problem of generalized thermoelasticity with one relaxation time for an infinitely long and isotropic annular cylinder of temperature dependent physical properties. The inner and outer curved surfaces of the cylinder are subjected to both the mechanical and thermal boundary conditions. A finite difference model is developed to derive the solution of the problem...

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 ...

Analysis for the propagation of plane harmonic thermoelastic waves in an infinite homogeneous orthotropic plate of finite thickness in the generalized theory of thermoelasticity with two thermal relaxation times is studied. The frequency equations corresponding to the extensional (symmetric) and flexural (antisymmetric) thermoelastic modes of vibration are obtained and discussed. Special cases ...

The purpose of this paper is to scrutinize the effect of magnetic field and thermal relaxation time on a general three-dimensional model of the equations of generalized magneto-thermoelasticity in a homogeneous, isotropic, thermally and perfectly conducting elastic half-space solid whose surface is subjected to a thermal shock in the context of the Lord-Shulman theory. The normal mode analysis ...