In this paper, the problem of generalized thermoelasticity in a thick-walled FGM cylinder with one relaxation time is presented. The material properties are taking as function of temperature and graded in the radial. Due to the nonlinearity of the governing equations, finite element method is adopted to solve such problem. Both the inner and outer curved surfaces of the cylinder ... Read more

The present investigation is concerned with interaction due to a mechanical source in transversely isotropic micropolar elastic media, determined using the finite element method. A particular type of normal force has been taken to illustrate the utility of the approach. The components of displacement, stress and microrotation are obtained and depicted graphically for a specific model. A special case of ... Read more

In this paper, the nonlinear transient thermal stress analysis is conducted for temperature-dependent hollow cylinders subjected to a decaying-with-time thermal field. By the finite element method, the highly nonlinear governing equations are solved. The time histories of temperature, displacement, and stress due to the decaying-with-time thermal load are computed. A sensitivity analysis includes the effects of exponent of the decayed ... Read more

In this work, the flow of an electrically conducting thermoelectric micropolar fluid over a suddenly moved heated plate is considered using the methodology of fractional calculus. The governing system of coupled equations in the frame of the boundary layer equations is applied to the unsteady Stokes' first problem. Finite element technique is proposed to analyze the problem. Numerical solutions for ... Read more

The main goal of this study is to extend the domain of influence result to cover the micropolar thermoelastic diffusion. So, we prove that for a finite time t> 0 the displacement field, the microrotation vector, the temperature and the chemical potential P generate no disturbance outside a bounded domain. Read more

The theory of generalized thermoelastic diffusion with relaxation times, in the context of Lord and Shulman theory, is used to investigate the thermoelastic diffusion problem in a transversely isotropic thermoelastic infinite medium with a cylindrical cavity. The surface of cavity is taken to be traction free and subjected to heating. The analytical solution in the Laplace transform domain is obtained ... Read more

The present work is aimed at the study of thermoelastic interactions in an infinite fibre-reinforced anisotropic plate containing a circular hole in the context of a fractional Green and Naghdi theory of type II (fractional-type II) in which the model of heat conduction with time-fractional order. The inner surface of cavity is assumed to be stress free and is subjected ... Read more

This article presents a two-dimensional problem of generalized thermoelasticity for a fiber-reinforcement anisotropic half-space under a thermal shock at its upper surface. The effects of initial stress and rotation are both studied. Green and Naghdi's theory of thermoelasticity is employed to study the present problem. The inclusion of reinforcement anisotropic elastic parameter is made and two additional terms are added ... Read more

The present investigation is aimed at studying the effect of rotation on the thermomicrostretch elastic solid. The formulation is applied in the context of the generalized thermoelasticity Lord–Şhulman theory with one relaxation time and Green–Lindsay’s theory with two relaxation times, as well as the classical dynamical coupled theory. The problem has been solved numerically using a finite element method. Numerical ... Read more

In the present work, we study the transient phenomena in magneto-thermoelastic model in the context of the theory of generalized thermoelasticity GL model with variable thermal conductivity. The numerical solutions for the displacement, temperature, and radial and hoop streasses in the context of FEM are obtained. The boundary conditions for the mechanical and Maxwell's stresses at the internal and outer ... Read more