Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity
A one-dimensional generalized magnetothermoelastic problem of a thermoelastic rod with finite length is investigated in the context of the fractional order thermoelasticity. The rod with variable properties, which are temperature-dependent, is fixed at both ends and placed in an initial magnetic fie...
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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/10.1155/2016/5341569 |
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| _version_ | 1832549524488323072 |
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| author | Chunbao Xiong Ying Guo |
| author_facet | Chunbao Xiong Ying Guo |
| author_sort | Chunbao Xiong |
| collection | DOAJ |
| description | A one-dimensional generalized magnetothermoelastic problem of a thermoelastic rod with finite length is investigated in the context of the fractional order thermoelasticity. The rod with variable properties, which are temperature-dependent, is fixed at both ends and placed in an initial magnetic field, and the rod is subjected to a moving heat source along the axial direction. The governing equations of the problem in the fractional order thermoelasticity are formulated and solved by means of Laplace transform in tandem with its numerical inversion. The distributions of the nondimensional temperature, displacement, and stress in the rod are obtained and illustrated graphically. The effects of the temperature-dependent properties, the velocity of the moving heat source, the fractional order parameter, and so forth on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables. |
| format | Article |
| id | doaj-art-801c9e112776481eb4be354cb77432a3 |
| 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-801c9e112776481eb4be354cb77432a32025-02-03T06:11:04ZengWileyAdvances in Materials Science and Engineering1687-84341687-84422016-01-01201610.1155/2016/53415695341569Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order ThermoelasticityChunbao Xiong0Ying Guo1School of Civil Engineering, Tianjin University, Tianjin 300072, ChinaSchool of Civil Engineering, Tianjin University, Tianjin 300072, ChinaA one-dimensional generalized magnetothermoelastic problem of a thermoelastic rod with finite length is investigated in the context of the fractional order thermoelasticity. The rod with variable properties, which are temperature-dependent, is fixed at both ends and placed in an initial magnetic field, and the rod is subjected to a moving heat source along the axial direction. The governing equations of the problem in the fractional order thermoelasticity are formulated and solved by means of Laplace transform in tandem with its numerical inversion. The distributions of the nondimensional temperature, displacement, and stress in the rod are obtained and illustrated graphically. The effects of the temperature-dependent properties, the velocity of the moving heat source, the fractional order parameter, and so forth on the considered variables are concerned and discussed in detail, and the results show that they significantly influence the variations of the considered variables.http://dx.doi.org/10.1155/2016/5341569 |
| spellingShingle | Chunbao Xiong Ying Guo Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity Advances in Materials Science and Engineering |
| title | Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity |
| title_full | Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity |
| title_fullStr | Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity |
| title_full_unstemmed | Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity |
| title_short | Effect of Variable Properties and Moving Heat Source on Magnetothermoelastic Problem under Fractional Order Thermoelasticity |
| title_sort | effect of variable properties and moving heat source on magnetothermoelastic problem under fractional order thermoelasticity |
| url | http://dx.doi.org/10.1155/2016/5341569 |
| work_keys_str_mv | AT chunbaoxiong effectofvariablepropertiesandmovingheatsourceonmagnetothermoelasticproblemunderfractionalorderthermoelasticity AT yingguo effectofvariablepropertiesandmovingheatsourceonmagnetothermoelasticproblemunderfractionalorderthermoelasticity |