The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space
The aim of this paper is to study magneto-thermoelastic interactions in an initially stressed isotropic homogeneous half-space in the context of fractional order theory of generalized thermoelasticity. State space formulation with the Laplace transform technique is used to obtain the general solutio...
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Series: | Journal of Mathematics |
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doaj-1e6d1dbc1be144d88a046e4c2cb0b02f2020-11-24T20:57:42ZengHindawi LimitedJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/489863489863The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-SpaceSunita Deswal0Sandeep Singh Sheoran1Kapil Kumar Kalkal2Department of Mathematics, G. J. University of Science and Technology, Haryana, Hisar 125001, IndiaDepartment of Mathematics, G. J. University of Science and Technology, Haryana, Hisar 125001, IndiaDepartment of Mathematics, G. J. University of Science and Technology, Haryana, Hisar 125001, IndiaThe aim of this paper is to study magneto-thermoelastic interactions in an initially stressed isotropic homogeneous half-space in the context of fractional order theory of generalized thermoelasticity. State space formulation with the Laplace transform technique is used to obtain the general solution, and the resulting formulation is applied to the ramp type increase in thermal load and zero stress. Solutions of the problem in the physical domain are obtained by using a numerical method of the Laplace inverse transform based on the Fourier expansion technique, and the expressions for the displacement, temperature, and stress inside the half-space are obtained. Numerical computations are carried out for a particular material for illustrating the results. Results obtained for the field variables are displayed graphically. Some comparisons have been shown in figures to present the effect of fractional parameter, ramp parameter, magnetic field, and initial stress on the field variables. Some particular cases of special interest have been deduced from the present investigation.http://dx.doi.org/10.1155/2013/489863 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Sunita Deswal Sandeep Singh Sheoran Kapil Kumar Kalkal |
spellingShingle |
Sunita Deswal Sandeep Singh Sheoran Kapil Kumar Kalkal The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space Journal of Mathematics |
author_facet |
Sunita Deswal Sandeep Singh Sheoran Kapil Kumar Kalkal |
author_sort |
Sunita Deswal |
title |
The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space |
title_short |
The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space |
title_full |
The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space |
title_fullStr |
The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space |
title_full_unstemmed |
The Effect of Magnetic Field and Initial Stress on Fractional Order Generalized Thermoelastic Half-Space |
title_sort |
effect of magnetic field and initial stress on fractional order generalized thermoelastic half-space |
publisher |
Hindawi Limited |
series |
Journal of Mathematics |
issn |
2314-4629 2314-4785 |
publishDate |
2013-01-01 |
description |
The aim of this paper is to study magneto-thermoelastic interactions in an initially stressed isotropic homogeneous half-space in the context of fractional order theory of generalized thermoelasticity. State space formulation with the Laplace transform technique is used to obtain the general solution, and the resulting formulation is applied to the ramp type increase in thermal load and zero stress. Solutions of the problem in the physical domain are obtained by using a numerical method of the Laplace inverse transform based on the Fourier expansion technique, and the expressions for the displacement, temperature, and stress inside the half-space are obtained. Numerical computations are carried out for a particular material for illustrating the results. Results obtained for the field variables are displayed graphically. Some comparisons have been shown in figures to present the effect of fractional parameter, ramp parameter, magnetic field, and initial stress on the field variables. Some particular cases of special interest have been deduced from the present investigation. |
url |
http://dx.doi.org/10.1155/2013/489863 |
work_keys_str_mv |
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