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

doi:10.5923/J.IJEA.20120203.02

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

Journal Article•DOI•

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

31 Aug 2012-Vol. 2, Iss: 3, pp 24-32

TL;DR: 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.

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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•DOI•

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

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Rajesh Kumar¹, Nidhi Sharma, Parveen Lata²•Institutions (2)

Kurukshetra University¹, Punjabi University²

11 Jun 2017-Mechanics of Advanced Materials and Structures

TL;DR: In this paper, the authors investigated the 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.

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Abstract: 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.

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17 citations

Cites background from "Effects of Hall Current and Rotatio..."

...Particular cases (i) If we consider the medium to be isotropic, i.e., c11 = λ + 2μ = c33, c12 = c13 = λ, c44 = μ, β1 = β3= β , α1 = α3 = α, K1 = K3 = K, without two temperatures, i.e., a1 = a3 = 0, and consider the generalized heat conduction equation, then results are similar as derived by Zakaria [33]....
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...[33] M. Zakaria, Effect of Hall current on generalized magnetothermoelasticity micropolar solid subjected to ramp-type heating, Int....
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...Authors, such as Zakaria [32, 33], Salem [34], Kumar andDevi [35], and Sarkar and Lahiri [36], have considered the effect of Hall current for 2D problems in micropolar thermoelasticity....
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...[32] M. Zakaria, Effects of Hall current and rotation on magnetomicropolar generalized thermoelasticity due to ramp-type heating, Int....
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Journal Article•DOI•

The influence of thermal loading due to laser pulse on generalized micropolar thermoelastic solid with comparison of different theories

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Mohamed I. A. Othman¹, W. M. Hasona¹, Elsayed M. Abd-Elaziz¹•Institutions (1)

Zagazig University¹

21 Oct 2014-Multidiscipline Modeling in Materials and Structures

TL;DR: In this paper, the authors introduced the coupled theory, Lord-Shulman theory with one relaxation time and Green-Lindsay theory with two relaxation times to study the influence of rotation on generalized micropolar thermoelasticity subject to thermal loading due to laser pulse.

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Abstract: Purpose – The purpose of this paper is to introduce the coupled theory, Lord-Shulman theory with one relaxation time and Green-Lindsay theory with two relaxation times to study the influence of rotation on generalized micropolar thermoelasticity subject to thermal loading due to laser pulse. The bounding plane surface is heated by a non-Gaussian laser beam with pulse duration of 8 ps. Design/methodology/approach – The problem has been solved numerically by using the normal mode analysis. Findings – The thermal shock problem is studied to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and micro-rotation. The distributions of the considered variables are illustrated graphically. Comparisons are made with the results predicted by three theories in the presence and absence of laser pulse and for different values of time. Originality/value – Generalized micropolar thermoelastic solid.

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15 citations

Journal Article•

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

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Rajesh Kumar¹, Nidhi Sharma, Parveen Lata²•Institutions (2)

Kurukshetra University¹, Punjabi University²

20 Dec 2016-Journal of Solid Mechanics

TL;DR: In this paper, a homogeneous transversely isotropic thermoelastic rotating medium with two temperatures was investigated in the presence of the combined effects of Hall currents and magnetic field due to thermomechanical sources.

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Abstract: 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.

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14 citations

Journal Article•DOI•

Thermomechanical interactions in transversely isotropic magneto-thermoelastic medium with fractional order generalized heat transfer and hall current

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Parveen Lata¹, Iqbal Kaur¹•Institutions (1)

Punjabi University¹

01 Jan 2020

TL;DR: In this article, the authors focused on the thermomechanical interactions in homogeneous transversely isotropic magneto thermoelastic medium with fractional order heat transfer and hall c...

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Abstract: This investigation is focused on the study of thermomechanical interactions in homogeneous transversely isotropic magneto thermoelastic medium with fractional order heat transfer and hall c...

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13 citations

Journal Article•DOI•

Effect of Hall Current in Thermoelastic Materials with Double Porosity Structure

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Rajesh Kumar¹, R. Vohra•Institutions (1)

Kurukshetra University¹

24 May 2017-International Journal of Applied Mechanics and Engineering

TL;DR: In this article, a state space approach has been applied to investigate the one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources.

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Abstract: Abstract The present investigation is concerned with one dimensional problem in a homogeneous, isotropic thermoelastic medium with double porosity structure in the presence of Hall currents subjected to thermomechanical sources. A state space approach has been applied to investigate the problem. As an application of the approach, normal force and thermal source have been taken to illustrate the utility of the approach. The expressions for the components of normal stress, equilibrated stress and the temperature change are obtained in the frequency domain and computed numerically. A numerical simulation is prepared for these quantities. The effect of the Hartmann number is depicted graphically on the resulting quantities for a specific model. Some particular cases of interest are also deduced from the present investigation.

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10 citations

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References

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Book Chapter•DOI•

Magneto-elasticity and magneto-thermo-elasticity

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Gunadhar Paria

01 Jan 1966-Advances in Applied Mechanics

TL;DR: The theory of magneto-thermo-elasticity as mentioned in this paper is concerned with the interacting effects of an externally applied magnetic field on the elastic and thermoelastic deformations of a solid body.

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Abstract: Publisher Summary The theories of magneto-elasticity and magneto-thermo-elasticity are concerned with the interacting effects of an externally applied magnetic field on the elastic and thermo-elastic deformations of a solid body. These theories are being developed readily in recent years because of the possibilities of their extensive practical applications in diverse fields, such as geophysics, optics, acoustics, and damping of acoustic waves in the magnetic field. However, while the theory of interaction between fluid-flow and an electro-magnetic phenomenon in electrically conducting fluids (magneto-fluid-dynamics) has been much developed since the discovery of Alfven waves, the theory of magneto-thermo-elasticity is still in its infancy.

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158 citations

"Effects of Hall Current and Rotatio..." refers background in this paper

...A comprehensive review of the earlier contributions to the subject can be found in Paria[16]....
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...Paria used the classical Fourier law of heat conduction, and neglected the electric displacement....
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...(1959)4, 1 [14] G. Paria, On magneto-thermoelastic plane waves....
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...Paria[14] discussed the propagation of plane magneto-thermoelastic waves in an isotropic unbounded medium under the influence of a uniform thermal field and with a magnetic field acting transversely to the direction of the propagation....
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...Wilson[15] extended Paria’s results by introducing a component of the magnetic field parallel to the direction of the propagation....
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Journal Article•DOI•

Electromagneto-Thermoelastic Plane Waves in Solids With Thermal Relaxation

[...]

Adnan H. Nayfeh¹, Sia Nemat-Nasser²•Institutions (2)

University of California, San Diego¹, Northwestern University²

01 Mar 1972-Journal of Applied Mechanics

149 citations

Journal Article•DOI•

Electro-magneto-thermo-elastic plane waves in rotating media with thermal relaxation

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S. K. Roy Choudhuri¹•Institutions (1)

University of Burdwan¹

01 Jan 1984-International Journal of Engineering Science

TL;DR: In this paper, a study of the propagation of plane electromagneto-thermo-elastic harmonic waves in an unbounded isotropic conducting medium permeated by a primary uniform magnetic field when the entire medium rotates with a uniform angular velocity is made.

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85 citations

Additional excerpts

...Choudhuri[18] extended these results to rotating media....
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Journal Article•DOI•

Generalized magneto-thermoelasticity in a perfectly conducting medium

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Magdy A. Ezzat¹, Hamdy M. Youssef¹•Institutions (1)

Alexandria University¹

01 Dec 2005-International Journal of Solids and Structures

TL;DR: In this paper, a model of the equations of generalized magneto-thermoelasticity in a perfectly conducting medium is given, which is applied to generalizations, including the Green-Lindsay theory with two relaxation times, as well as to the coupled theory.

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80 citations

"Effects of Hall Current and Rotatio..." refers background in this paper

...Ezzat and Youssef[10] studied the generalized magneto-thermoelasticity in a perfectly conducting medium....
[...]
...45(1972), 45–47 [10] Magdy A. Ezzat , Hamdy M. Youssef, Generalized magneto-thermoelasticity in a perfectly conducting medium, Int....
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...Ezzat and Youssef[10] studied the generalized magneto-thermoelasticity in a perfectly conducting medium....
[...]

Journal Article•DOI•

A thermal-shock problem in magneto-thermoelasticity with thermal relaxation

[...]

Hany H. Sherief¹, Magdy A. Ezzat¹•Institutions (1)

Alexandria University¹

01 Dec 1996-International Journal of Solids and Structures

TL;DR: In this article, the Laplace transform is used to solve the problem of distribution of thermal stresses and temperature in a generalized thermoelastic electrically conducting half-space permeated by a primary uniform magnetic field when the bounding plane is suddenly heated to a constant temperature.

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71 citations

Additional excerpts

...J. Eng. Sci. 22 (1984), 519–530 [19] H. Sherief, M. Ezzat, A thermal sock problem in magneto-thermoelasticity with thermal relaxation....
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...Sherief and Ezzat[19] solved a thermal shock half-space problem using asymptotic expansions....
[...]
...45(1972), 45–47 [10] Magdy A. Ezzat , Hamdy M. Youssef, Generalized magneto-thermoelasticity in a perfectly conducting medium, Int....
[...]
...Ezzat and Youssef[10] studied the generalized magneto-thermoelasticity in a perfectly conducting medium....
[...]