In this paper, we constructed the equations of generalized magneto-thermoelastic in a perfectly conducting medium. The formulation is applied in the context of Green-Naghdi theory of type III under the effect of rotation. The material of the hollow cylinder is supposed to be homogeneous isotropic both mechanically and thermally. The problem has been solved numerically using a finite element method ... Read more

The present investigation concerned with deformation in three dimensional thermoelastic medium due to thermal source by finite element method. A particular type of thermal source has been taken to illustrate the utility of the approach. The components of displacement, stress and temperatutre change are obtained and depicted graphically for a specific model. Read more

The model of generalized thermoelasticity proposed by dual phase lag (DPL), is applied to study the thermoelastic interactions in an infinite fiber-reinforced anisotropic medium with a circular hole. A decaying with time thermal field on the boundary of the hole, which is stress free, causes the thermoelastic interactions. The solutions for displacement, temperature, and stresses are obtained with the help ... Read more

In this work, a general solution to the field equations of generalized thermoelastic diffusion in a half-space is considered in the context of fractional order theory of thermoelastic diffusion. The bounding surface of the half-space is taken to be traction free and subjected to a time dependent thermal shock while the chemical potential is assumed to be a known function ... Read more

In this article, an estimation is made to investigate the effect of magnetic field in generalized thermoelastic diffusion model in the context of Lord and Shulman theory in a perfectly conducting medium. The analytical solution in the Laplace transform domain is obtained by using the eigenvalue approach. The boundary conditions for the mechanical and Maxwell’s stresses at the internal and ... Read more

The electro-magneto-thermo-elastic analysis problem of an infinite functionally graded (FG) hollow cylinder is studied in the context of Green–Naghdi's (G–N) generalized thermoelasticity theory (without energy dissipation). Material properties are assumed to be graded in the radial direction according to a novel power-law distribution in terms of the volume fractions of the metal and ceramic constituents. The inner surface of the ... Read more

The present study deals with the review on the development of the theory of generalized thermoelasticity in a fiber-reinforced anisotropic medium. The basic equations are applied in context of Lord and Shulman12 theory, Green–Lindsay13 and Green and Naghdi18 theory of generalized thermoelasticity are reviewed. Analytical and numerical methods in literature are also reviewed. Read more

In this work, a mathematical model of two-temperature generalized thermoelasticity with two relaxation times for an infinite fiber-reinforced anisotropic plate containing a circular cavity will be constructed in the context of Youssef model (2006). As an application of the problem, a particular type of thermal source is considered and the problem is solved numerically by using a finite element method. ... Read more

The present investigation deals with deformation in micropolar generalized thermoelastic materials due to thermal source. Lord-Shulman (LS) (1967) and Grren-Lindsay (GL) (1972) theories are used to study the problem. As an application of the approach, a particular type of thermal source is considered and the problem is solved by finite element method. The components of displacement, microrotation, stress and temperature ... Read more

In this article, the magneto-thermo analysis problem of an infinite functionally graded (FG) hollow cylinder is studied. The radial displacement, mechanical stresses and temperature, as well as the electromagnetic stress, are all investigated along the radial direction of the infinite cylinder. Material properties are assumed to be graded in the radial direction according to a novel power-law distribution in terms ... Read more