In this work, a new model for porothermoelastic waves under fractional time derivative and two delays is utilized to study temperature increments, stress the displacement components of solid fluid phases in media. The governing equations are presented Lord–Shulman theory with thermal relaxation time. finite element method has been adopted solve these due complex formulations problem. effects pa...

Abstract In this work, we study a two-dimensional problem involving thermoelastic body with four dissipative mechanisms. The well-known theory proposed by Lord and Shulman is used. existence uniqueness of solution proved using linear semigroups. Then, introducing some assumptions the coupling coefficients, prove that energy decay exponential. An extension to provided Green Lindsay briefly prese...

The wave propagation in viscothermoelastic materials is discussed the present work using nonlocal thermoelasticity model. This model was created Lord and Shulman generalized thermoelastic due to consequences of delay times formulations heat conduction motion equations. Eringen’s theory continuum. linear Kelvin–Voigt viscoelasticity explains viscoelastic properties isotropic material. analytical...

This paper estimated the problem of one-dimensional generalized thermoelastic half-space in medium considering two models: Lord and Shulman (LS) model Dual-Phase-Lag (DPL) model. We assumed that surface was free from traction force under an exponentially varying external heat source at boundary with time. The technique homotopy perturbation has been applied to find approximate solution for inte...

The theory of generalized thermoelastic diffusion, based on the theory of Lord and Shulman, is used to study the thermoelastic-diffusion interactions in an infinitely long solid cylinder subjected to a thermal shock on its surface which is in contact with a permeating substance. By means of the Laplace transform and numerical Laplace inversion the problem is solved. Numerical results predict fi...

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...

We apply the thermoelastic equations with one relaxation time developed by Lord and Shulman (1967) to solve some elastic half-space problems. Laplace transform is used to find the general solution. Problems concerning the ramp-type increase in boundary temperature and stress are studied in detail. Explicit expressions for temperature and stress are obtained for small values of time, where secon...

In the present manuscript, we investigated a two dimensional axisymmetric problem of nonlocal microstretch thermoelastic circular plate subjected to thermomechanical sources. An eigenvalue approach is proposed to analyze the problem. Laplace and Hankel transforms are used to obtain the transformed solutions for the displacements, microrotation, microstretch, temperature distribution and stresse...