Plane waves in an anisotropic thermoelastic

In this study, the effect of hall current and rotation on a magneto-thermoelastic solid with microtemperatures and voids are investigated. The medium is permeated by a strong transverse magnetic field imposed perpendicularly on the displacement plane, the induced electric field being neglected. The normal mode analysis is used to obtain the exact expressions for the considered variables. Numerical simulated results are depicted graphically to show the effect of hall current, voids parameter and rotation on resulting quantities. The results indicate that the effect of hall current, voids parameter and rotation are very pronounced. Some particular cases of special interest have been deduced from the present investigation.

Plane waves in a magneto-thermoelastic solids with voids and microtemperatures due to hall current and rotation

This investigation is concerned with the disturbances in a homogeneous transversely isotropic thermoelastic rotating medium with two temperature, in the presence of the combined effects of Hall currents and magnetic field due to normal force of ramp type. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi Theories of Type-II and Type-III. Laplace and Fourier transform technique is applied to solve the problem. The analytical expressions of displacements, stress components, temperature change and current density components are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerically simulated results are depicted graphically to show the effects of Hall current and anisotropy on the resulting quantities. Some special cases are also deduced from the present investigation.

Effects of Hall current in a transversely isotropic magnetothermoelastic with and without energy dissipation due to normal force

The present article is concerned with the investigation of disturbances in a homogeneous transversely isotropic thermoelastic rotating medium with two temperatures, in the presence of the combined effects of Hall currents and magnetic field. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi theories of type-II and type-III. Laplace and Fourier transform techniques are applied to solve the problem. The analytical expressions of displacements, stress components, temperature change, and current density components are obtained in the transformed domain. A numerical inversion technique has been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show the effect of Hall current and two temperatures on resulting quantities. Some special cases are also deduced from the present investigation.

Effects of Hall current and two temperatures in transversely isotropic magnetothermoelastic with and without energy dissipation due to ramp-type heat

The present paper is concerned with  the investigation of disturbances in a homogeneous  transversely isotropic thermoelastic rotating  medium with two temperatures, in the presence of the combined effects of   Hall currents and magnetic field due to thermomechanical sources. The formulation is applied to the thermoelasticity theories developed by Green-Naghdi Theories of Type-II and Type-III. Laplace and Fourier transform technique is applied to solve the problem. As an application, the bounding surface is subjected to concentrated and distributed sources    (mechanical and thermal sources). The analytical expressions of displacement, stress components, temperature change and current density components are obtained in the transformed domain. Numerical inversion technique has been applied to obtain the results in the physical domain. Numerical simulated results are depicted graphically to show a comparison of effect of Hall current on the two theories GN-II and GN-III on resulting quantities. Some special cases are also deduced from the present investigation.

http://jsm.iau-arak.ac.ir/article_527092_c4ab8ccbce3739e0ace4c7d6b33132e2.pdf

Thermomechanical Interactions Due to Hall Current in Transversely Isotropic Thermoelastic with and Without Energy Dissipation with Two Temperatures and Rotation

The problem of two dimensional magnetic micropolar generalized thermoelastic medium, in the presence of the combined effect of Hall currents subjected to ramp-type heating, is investigated. The medium is permeated by a strong transverse magnetic field imposed perpendicularly to the displacement plane on the assumption of the induced electric field is neglected. Ohm’s law is modified by the inclusion of two terms, one for the cross product of the current density with the initial magnetic field and the second for the cross product of the velocity with the initial magnetic field. Laplace and exponential Fourier transform techniques are employed to transform the governing partial differential equations to ODE which were solved exactly. Comparisons with previously published work have been conducted and the results are found to be in good agreement. The distributions of the temperature, the displacement, the stress, the microrotation and the current density are obtained. The numerical values of these functions are represented graphically.

Effect of Hall Current on Generalized Magneto-thermoelasticity Micropolar Solid Subjected to Ramp-type Heating

The problem of two-dimensional magnetic micropolar generalized thermoelastic medium in the presence of the combined effect of Hall currents subjected to ramp-type heating is investigated. The medium is permeated by a strong transverse magnetic field imposed perpendicularly on the displacement plane, the induced electric field being neglected. Ohm’s law is modified by including two terms, one for the cross product of the current density and the initial magnetic field and the other for the cross product of the velocity and the initial magnetic field. The Laplace and exponential Fourier transform techniques are employed to transform the governing partial differential equations to ODE, which are solved exactly. Comparisons with the previously published work are conducted and the results are found to be in good agreement. The distributions of the temperature, displacement, stress, microrotation, and current density are obtained. The numerical values of these functions are represented graphically

M. Zakaria

Papers

Effect of Hall Current on Generalized Magneto-thermoelasticity Micropolar Solid Subjected to Ramp-type Heating

Effect of hall current on generalized magneto-thermoelasticity micropolar solid subjected to ramp-type heating