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Effects of Hall Current and Rotation on Magneto-Micropolar Generalized Thermoelasticity Due to Ramp-Type Heating

M. Zakaria
- Vol. 2, Iss: 3, pp 24-32
TLDR
In this paper, a two dimensional problem in magnetic micropolar generalized thermoelastic medium, in the presence of a transverse magnetic field -taking into consideration the effect of Hall current- subjected to ramp-type heating, is investigated.
Abstract
In this work, a two dimensional problem in magnetic micropolar generalized thermoelastic medium, in the presence of a transverse magnetic field -taking into consideration the effect of Hall current- subjected to ramp-type heating, is investigated. The entire elastic medium is rotating with a uniform angular velocity. Laplace-Fourier transform technique is used to solve the problem. The transformed components of normal strain, normal stress, tangential couple stress, temperature distribution, and the current density components are obtained. The integral transforms have been inverted by using a numerical technique. Hall current effects and effect of rotation have been depicted graphically on the resulting quantities.

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Journal Article

Effects of Hall Current and Rotation in Modified Couple Stress Generalized Thermoelastic Half Space due to Ramp-Type Heating

TL;DR: In this paper, the generalized theories of thermoelasticity developed by Lord Shulman (L-S, 1967) and Green Lindsay (G-L, 1972) are used to investigate the problem of deformation in a homogeneous isotropic modified couple stress rotating medium in the presence of Hall current and magnetic field due to a ramp-type thermal source.

Deformation due to Mechanical & Electromagnetic Forces in a Magneto-Micropolar Plate irradiated by Thermal Pulsed Laser

TL;DR: In this paper, the authors studied the elastodynamical interactions in magneto-micropolar thermoelastic half-space considering the effect of hall current, laser heat source and rotation subjected to input ultra-laser heat source.
Journal ArticleDOI

Effects of Hall Current and Rotation in a Fractional Ordered Magneto-Micropolar Thermoviscoelastic Half-Space Due to Ramp-Type Heat

TL;DR: In this article, a two dimensional problem in a rotating magneto-micropolar thermoviscelastic medium under a ramp type heating is studied, where the interaction due to viscosity, hall current and rotation are explored by using theory of fractional order thermoelasticity given by Sherief et al.
References
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Journal ArticleDOI

A generalized dynamical theory of thermoelasticity

TL;DR: In this article, a generalized dynamical theory of thermoelasticity is formulated using a form of the heat transport equation which includes the time needed for acceleration of heat flow.
Journal ArticleDOI

Thermoelasticity and Irreversible Thermodynamics

TL;DR: In this article, a unified treatment of thermoelasticity by application and further developments of the methods of irreversible thermodynamics is presented, along with a new definition of the dissipation function in terms of the time derivative of an entropy displacement.
Journal ArticleDOI

Nonlinear theory of simple micro-elastic solids-i

TL;DR: In this paper, the formulation of the basic field equations, boundary conditions and constitutive equations of simple micro-elastic solids is discussed. And explicit expressions of constitutive expressions of several simple micro elastic solids are given and applied to some special problems.
Journal ArticleDOI

A method for the numerical inversion of Laplace transforms

TL;DR: A numerical inversion method for Laplace transforms, based on a Fourier series expansion developed by Durbin [5], is presented in this article, where the disadvantage of the inversion methods of that type, the encountered dependence of discretization and truncation error on the free parameters, is removed by the simultaneous application of a procedure for the reduction of the Discretization error, a method for accelerating the convergence of the Fourier Series and a procedure that computes approximately the "best" choice of the free parameter.
ReportDOI

Linear theory of micropolar elasticity

A C Eringen
TL;DR: In this article, a special class of micro-elastic materials called Micropolar Solids are presented for couple stress and distributed body couples, and the couple stress theory is shown to emanate as a spacial case of the present theory.
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