Showing papers by "Nantu Sarkar published in 2014"
TL;DR: In this article, the fractional order Green-Lindsay model of generalized thermoelasticity with voids (FGLV) subjected to instantaneous heat sources in a plane area has been established using the Riemann-Liouville fractional integral operator and applied to solve a problem of determining the distribution of temperature, the volume fraction field, the deformation and the stress field in an infinite elastic medium.
57 citations
TL;DR: In this paper, the authors investigated the influence of the initial stress and the gravity field on the plane waves in a fiber-reinforced magnetothermoelastic isotropic medium using the Lord-Shulman model.
Abstract: The aim of the present paper is to investigate the influences of the hydrostatic initial stress and the gravity field on the plane waves in a fiber-reinforced magnetothermoelastic isotropic medium using the Lord–Shulman model of generalized thermoelasticity with one relaxation time. The problem has been solved numerically using the normal mode analysis together with the eigenvalue approach. Numerical results for temperature, the displacement components, and the stresses are represented graphically, and the results are analyzed. The graphical results indicate that the effects of the hydrostatic initial stress, gravity field, and the magnetic field on plane waves in the fiber-reinforced thermoelastic medium are very pronounced. Comparisons are made to results in the absence of the hydrostatic initial stress, gravity field, and the magnetic field. Such problems are very important in many dynamical systems.
12 citations
TL;DR: In this paper, an electro-magneto-thermo-elastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting two-dimensional half-space solid whose surface is subjected to a thermal shock is considered.
Abstract: The present paper is concerned with an electro-magneto-thermoelastic coupled problem for a homogeneous, isotropic, thermally and electrically conducting two-dimensional half-space solid whose surface is subjected to a thermal shock. The modified Ohm's law, including the temperature gradient and charge density effect, to the equations of the theory of generalized electromagneto-thermo-elasticity under the coupled (CD), Lord-Shulman (LS), and Green-Lindsay (GL) model of generalized thermoelasticity, has been introduced. An initial magnetic field acts parallel to the plane boundary of the half-space. The normal mode analysis together with eigenvalue approach techniques are used to solve the resulting nondimensional coupled equations for the three theories. Numerical results for the temperature, displacements, thermal stress, and induced magnetic field distributions are presented graphically for three cases and discussed.
8 citations