Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field
We estimated an analytical solution of the displacement, stress, and temperature in a rotating isotropic homogeneous elastic medium hollow sphere subjected to periodic loading and magnetic field. The coupled theory of thermoelasticity is applied to determine an infinite velocity of heat propagation....
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/920198 |
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| author | S. M. Abo-Dahab Nahed S. Hussein M. Al-Bokamy |
| author_facet | S. M. Abo-Dahab Nahed S. Hussein M. Al-Bokamy |
| author_sort | S. M. Abo-Dahab |
| collection | DOAJ |
| description | We estimated an analytical solution of the displacement, stress, and temperature in a rotating isotropic homogeneous elastic medium hollow sphere subjected to periodic loading and magnetic field. The coupled theory of thermoelasticity is applied to determine an infinite velocity of heat propagation. The numerical calculations are carried out for the displacement, temperature, and stresses. The results obtained are displayed graphically to illustrate the effect of initial stress, rotation, and magnetic field which indicate to pronounce influence of rotation and magnetic field. |
| format | Article |
| id | doaj-art-abeddcdf145e4b14a7afed63716b6e5e |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-abeddcdf145e4b14a7afed63716b6e5e2025-08-20T03:39:13ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/920198920198Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic FieldS. M. Abo-Dahab0Nahed S. Hussein1M. Al-Bokamy2Mathematics Department, Faculty of Science, SVU, Qena 83523, EgyptMathematics Department, Faculty of Science,Taif University, P.O. Box 888, Altaif 21944, Saudi ArabiaMathematics Department, Faculty of Science,Taif University, P.O. Box 888, Altaif 21944, Saudi ArabiaWe estimated an analytical solution of the displacement, stress, and temperature in a rotating isotropic homogeneous elastic medium hollow sphere subjected to periodic loading and magnetic field. The coupled theory of thermoelasticity is applied to determine an infinite velocity of heat propagation. The numerical calculations are carried out for the displacement, temperature, and stresses. The results obtained are displayed graphically to illustrate the effect of initial stress, rotation, and magnetic field which indicate to pronounce influence of rotation and magnetic field.http://dx.doi.org/10.1155/2014/920198 |
| spellingShingle | S. M. Abo-Dahab Nahed S. Hussein M. Al-Bokamy Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field Journal of Applied Mathematics |
| title | Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field |
| title_full | Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field |
| title_fullStr | Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field |
| title_full_unstemmed | Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field |
| title_short | Exact Magnetothermoelastic Solution for a Hollow Sphere Subjected to Initial Stress, Rotation, and Magnetic Field |
| title_sort | exact magnetothermoelastic solution for a hollow sphere subjected to initial stress rotation and magnetic field |
| url | http://dx.doi.org/10.1155/2014/920198 |
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