Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate
The fractional mathematical model of Maxwell’s equations in an electromagnetic field and the fractional generalized thermoelastic theory associated with two relaxation times are applied to a 1D problem for a thick plate. Laplace transform is used. The solution in Laplace transform domain has been ob...
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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2016/5821604 |
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| author | A. M. Abd El-Latief |
| author_facet | A. M. Abd El-Latief |
| author_sort | A. M. Abd El-Latief |
| collection | DOAJ |
| description | The fractional mathematical model of Maxwell’s equations in an electromagnetic field and the fractional generalized thermoelastic theory associated with two relaxation times are applied to a 1D problem for a thick plate. Laplace transform is used. The solution in Laplace transform domain has been obtained using a direct method and its inversion is calculated numerically using a method based on Fourier series expansion technique. Finally, the effects of the two fractional parameters (thermo and magneto) on variable fields distributions are made. Numerical results are represented graphically. |
| format | Article |
| id | doaj-art-4bf4910048b849c58bc21a3eac42966a |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-4bf4910048b849c58bc21a3eac42966a2025-02-03T01:02:00ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422016-01-01201610.1155/2016/58216045821604Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick PlateA. M. Abd El-Latief0Department of Mathematics, Alexandria University, Alexandria, EgyptThe fractional mathematical model of Maxwell’s equations in an electromagnetic field and the fractional generalized thermoelastic theory associated with two relaxation times are applied to a 1D problem for a thick plate. Laplace transform is used. The solution in Laplace transform domain has been obtained using a direct method and its inversion is calculated numerically using a method based on Fourier series expansion technique. Finally, the effects of the two fractional parameters (thermo and magneto) on variable fields distributions are made. Numerical results are represented graphically.http://dx.doi.org/10.1155/2016/5821604 |
| spellingShingle | A. M. Abd El-Latief Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate Advances in Materials Science and Engineering |
| title | Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate |
| title_full | Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate |
| title_fullStr | Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate |
| title_full_unstemmed | Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate |
| title_short | Application of Generalized Fractional Thermoelasticity Theory with Two Relaxation Times to an Electromagnetothermoelastic Thick Plate |
| title_sort | application of generalized fractional thermoelasticity theory with two relaxation times to an electromagnetothermoelastic thick plate |
| url | http://dx.doi.org/10.1155/2016/5821604 |
| work_keys_str_mv | AT amabdellatief applicationofgeneralizedfractionalthermoelasticitytheorywithtworelaxationtimestoanelectromagnetothermoelasticthickplate |