In this work, we consider the problem of magneto-thermoelastic interactions in a functionally graded material (FGM) under dual-phase-lag model in the presence of thermal shock. The generalized thermoelasticity theory with one relaxation time has been employed. The material is assumed to be elastic and functionally graded (FGM)(ie material with spatially varying properties). The basic equations have been written in the ... إقراء المزيد

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 ... إقراء المزيد

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 ... إقراء المزيد

In the present work, we consider the problem of fractional order thermoelastic interaction in a material placed in a magnetic field and subjected to a moving plane of heat source. The basic equations have been written in the form of a vector–matrix differential equation in the Laplace transform domain, which is then solved by an eigenvalue approach. The inverse Laplace ... إقراء المزيد