A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity
The dynamic response of a one-dimensional problem for a thermoelastic rod with finite length is investigated in the context of the fractional order theory of thermoelasticity in the present work. The rod is fixed at both ends and subjected to a moving heat source. The fractional order thermoelastic...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Materials Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2014/510205 |
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| _version_ | 1832567160952586240 |
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| author | Tianhu He Ying Guo |
| author_facet | Tianhu He Ying Guo |
| author_sort | Tianhu He |
| collection | DOAJ |
| description | The dynamic response of a one-dimensional problem for a thermoelastic rod with finite length is investigated in the context of the fractional order theory of thermoelasticity in the present work. The rod is fixed at both ends and subjected to a moving heat source. The fractional order thermoelastic coupled governing equations for the rod are formulated. Laplace transform as well as its numerical inversion is applied to solving the governing equations. The variations of the considered temperature, displacement, and stress in the rod are obtained and demonstrated graphically. The effects of time, velocity of the moving heat source, and fractional order parameter on the distributions of the considered variables are of concern and discussed in detail. |
| format | Article |
| id | doaj-art-316ab3b5c58f48ca890527fdb501d7e6 |
| institution | Kabale University |
| issn | 1687-8434 1687-8442 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Materials Science and Engineering |
| spelling | doaj-art-316ab3b5c58f48ca890527fdb501d7e62025-02-03T01:02:13ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422014-01-01201410.1155/2014/510205510205A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of ThermoelasticityTianhu He0Ying Guo1School of Science, Lanzhou University of Technology, Lanzhou 730050, ChinaSchool of Science, Lanzhou University of Technology, Lanzhou 730050, ChinaThe dynamic response of a one-dimensional problem for a thermoelastic rod with finite length is investigated in the context of the fractional order theory of thermoelasticity in the present work. The rod is fixed at both ends and subjected to a moving heat source. The fractional order thermoelastic coupled governing equations for the rod are formulated. Laplace transform as well as its numerical inversion is applied to solving the governing equations. The variations of the considered temperature, displacement, and stress in the rod are obtained and demonstrated graphically. The effects of time, velocity of the moving heat source, and fractional order parameter on the distributions of the considered variables are of concern and discussed in detail.http://dx.doi.org/10.1155/2014/510205 |
| spellingShingle | Tianhu He Ying Guo A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity Advances in Materials Science and Engineering |
| title | A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity |
| title_full | A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity |
| title_fullStr | A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity |
| title_full_unstemmed | A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity |
| title_short | A One-Dimensional Thermoelastic Problem due to a Moving Heat Source under Fractional Order Theory of Thermoelasticity |
| title_sort | one dimensional thermoelastic problem due to a moving heat source under fractional order theory of thermoelasticity |
| url | http://dx.doi.org/10.1155/2014/510205 |
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