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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 ArticleDOI

Effect of the thermal relaxation and magnetic field on generalized micropolar thermoelasticity

TL;DR: In this article, the generalized micropolar magneto-thermoelasticity for a thermally and perfectly conducting half-space is studied, where the initial magnetic field is parallel to the boundary of the half-spaces.
Journal ArticleDOI

Interactions due to hall current and rotation in a magneto-micropolar fractional order thermoelastic half-space subjected to ramp-type heating

TL;DR: In this article, the authors investigated a two dimensional problem in magneto-micropolar thermoelastic half-space with fractional order derivative in the presence of combined effects of hall current and rotation subjected to ramp-type heating.
Journal ArticleDOI

Interaction due to Hall Current and Rotation in a Modified Couple Stress Elastic Half-Space due to Ramp-type Loading

TL;DR: In this article, the effect of Hall current and rotation in a modified couple stress theory of elastic half space due to ramp-type loading in a homogeneous, isotropic, thermoelastic diffusive medium was investigated.
Journal Article

Modal Testing and Finite Element Analysis of Crack Effects on Turbine Blades

TL;DR: In this paper, a study of vibration response is made for turbine blade in the presence of a crack like defect, which is characterized by changes in the modal parameters associated with natural frequencies.
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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