In this study, the thermoelastic behavior of a thick-walled homogeneous cylinder based on Lord-Shulman theory is investigated. It assumed that inner and outer surfaces are traction-free, surface insulated while subjected to time-dependent internal temperature load. The governing equations in coupled form solved with pseudospectral Chebyshev method. numerical approach validated benchmark results...

Abstract This paper aims to examine the influence of gravity on a thermoelastic micro‐elongated layer when piezoelectric is above it, utilizing theory Lord–Shulman (L–S) and also model dual‐phase‐lag (DPL). A partial differential equation was transformed into an ordinary using normal mode analysis. Aluminum epoxy numerical computations are carried out, results presented in graphical format. The...

The generalized coupled thermo-viscoelasticity of hollow sphere subjected to thermal symmetric shock load is presented in this paper. To overcome the infinite speed of thermal wave propagation, the Lord-Shulman theory is considered. Two coupled equations, namely, the radial equation of motion and the energy equation of a hollow sphere are obtained in dimensionless form. Resulting equations are ...

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...

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...

The basic governing equations in anisotropic elastic material under the effect of porous piezothermoelastic are presented. Biot [1], Lord & Shulman [4] and Sherief et al. [5] theories are used to develop the basic equations for porous piezothermoelastic with mass diffusion material. The variational principle, uniqueness theorem and theorem of reciprocity in this model are established under the ...

The aim of the present work is to investigate the influence of the Mode-I crack on the plane waves in a linearly fiber-reinforced. A general model of the equations of coupled theory (CD) and Lord-Shulman (LS) theory with one relaxation time are applied to study the influence of reinforcement on the total deformation for an infinite space weakened by a finite linear opening Mode-I crack is solvi...

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...

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 ...

Abstract The reflection and refraction phenomenon of propagation waves in couple stress micropolar thermoviscous elastic solid media with independent viscoelastic properties have been studied. structure the model has taken such that plane interface is divides given into two half spaces perfect contact. Here, we find there are five waves, one them propagating independently while others set coupl...