Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load

The current manuscript is presented to study two-dimensional deformations in a nonhomogeneous, isotropic, rotating, magneto-thermoelastic medium in the context of Green-Naghdi model III. It is assumed that the functionally graded material has nonhomogeneous mechanical and thermal properties in the x...

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Main Authors: Ankush Gunghas, Rajesh Kumar, Sunita Deswal, Kapil Kumar Kalkal
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2019/1016981
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author Ankush Gunghas
Rajesh Kumar
Sunita Deswal
Kapil Kumar Kalkal
author_facet Ankush Gunghas
Rajesh Kumar
Sunita Deswal
Kapil Kumar Kalkal
author_sort Ankush Gunghas
collection DOAJ
description The current manuscript is presented to study two-dimensional deformations in a nonhomogeneous, isotropic, rotating, magneto-thermoelastic medium in the context of Green-Naghdi model III. It is assumed that the functionally graded material has nonhomogeneous mechanical and thermal properties in the x-direction. The exact expressions for the displacement components, temperature field, and stresses are obtained in the physical domain by using normal mode technique. These are also computed numerically for a copper-like material and presented graphically to observe the variations of the considered physical variables. Comparisons of the physical quantities are shown in figures to depict the effects of angular velocity, nonhomogeneity parameter, and magnetic field.
format Article
id doaj-art-9f9731d4ccd8404482c85b7a8cef1aa2
institution Kabale University
issn 2314-4629
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language English
publishDate 2019-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-9f9731d4ccd8404482c85b7a8cef1aa22025-08-20T03:38:30ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/10169811016981Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical LoadAnkush Gunghas0Rajesh Kumar1Sunita Deswal2Kapil Kumar Kalkal3Department of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, IndiaDepartment of Applied Sciences, School of Engineering and Technology, The NorthCap University, Gurgaon 122017, Haryana, IndiaDepartment of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, IndiaDepartment of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar 125001, Haryana, IndiaThe current manuscript is presented to study two-dimensional deformations in a nonhomogeneous, isotropic, rotating, magneto-thermoelastic medium in the context of Green-Naghdi model III. It is assumed that the functionally graded material has nonhomogeneous mechanical and thermal properties in the x-direction. The exact expressions for the displacement components, temperature field, and stresses are obtained in the physical domain by using normal mode technique. These are also computed numerically for a copper-like material and presented graphically to observe the variations of the considered physical variables. Comparisons of the physical quantities are shown in figures to depict the effects of angular velocity, nonhomogeneity parameter, and magnetic field.http://dx.doi.org/10.1155/2019/1016981
spellingShingle Ankush Gunghas
Rajesh Kumar
Sunita Deswal
Kapil Kumar Kalkal
Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load
Journal of Mathematics
title Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load
title_full Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load
title_fullStr Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load
title_full_unstemmed Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load
title_short Influence of Rotation and Magnetic Fields on a Functionally Graded Thermoelastic Solid Subjected to a Mechanical Load
title_sort influence of rotation and magnetic fields on a functionally graded thermoelastic solid subjected to a mechanical load
url http://dx.doi.org/10.1155/2019/1016981
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AT sunitadeswal influenceofrotationandmagneticfieldsonafunctionallygradedthermoelasticsolidsubjectedtoamechanicalload
AT kapilkumarkalkal influenceofrotationandmagneticfieldsonafunctionallygradedthermoelasticsolidsubjectedtoamechanicalload