Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach
The theory of generalized thermoelasticity with fractional order strain is employed to study the problem of one-dimensional disturbances in a viscoelastic solid in the presence of a moving internal heat source and subjected to a mechanical load. The problem is in the context of Green-Naghdi theory o...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2015/487513 |
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| author | Renu Yadav Kapil Kumar Kalkal Sunita Deswal |
| author_facet | Renu Yadav Kapil Kumar Kalkal Sunita Deswal |
| author_sort | Renu Yadav |
| collection | DOAJ |
| description | The theory of generalized thermoelasticity with fractional order
strain is employed to study the problem of one-dimensional disturbances
in a viscoelastic solid in the presence of a moving internal
heat source and subjected to a mechanical load. The problem is in
the context of Green-Naghdi theory of thermoelasticity with energy
dissipation. Laplace transform and state space techniques are used to
obtain the general solution for a set of boundary conditions. To tackle the expression of heat source, Fourier transform is also employed.
The expressions for different field parameters such as displacement,
stress, thermodynamical temperature, and conductive temperature in
the physical domain are derived by the application of numerical inversion
technique. The effects of fractional order strain, two-temperature
parameter, viscosity, and velocity of internal heat source on the field
variables are depicted graphically for copper material. Some special
cases of interest have also been presented. |
| format | Article |
| id | doaj-art-e07f0d10db9d45029ffbf9c0d574562a |
| institution | OA Journals |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-e07f0d10db9d45029ffbf9c0d574562a2025-08-20T02:21:29ZengWileyJournal of Mathematics2314-46292314-47852015-01-01201510.1155/2015/487513487513Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space ApproachRenu Yadav0Kapil Kumar Kalkal1Sunita Deswal2Department of Mathematics, N.M. Govt. College, Hansi, Haryana 125033, IndiaDepartment of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana 125001, IndiaDepartment of Mathematics, Guru Jambheshwar University of Science and Technology, Hisar, Haryana 125001, IndiaThe theory of generalized thermoelasticity with fractional order strain is employed to study the problem of one-dimensional disturbances in a viscoelastic solid in the presence of a moving internal heat source and subjected to a mechanical load. The problem is in the context of Green-Naghdi theory of thermoelasticity with energy dissipation. Laplace transform and state space techniques are used to obtain the general solution for a set of boundary conditions. To tackle the expression of heat source, Fourier transform is also employed. The expressions for different field parameters such as displacement, stress, thermodynamical temperature, and conductive temperature in the physical domain are derived by the application of numerical inversion technique. The effects of fractional order strain, two-temperature parameter, viscosity, and velocity of internal heat source on the field variables are depicted graphically for copper material. Some special cases of interest have also been presented.http://dx.doi.org/10.1155/2015/487513 |
| spellingShingle | Renu Yadav Kapil Kumar Kalkal Sunita Deswal Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach Journal of Mathematics |
| title | Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach |
| title_full | Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach |
| title_fullStr | Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach |
| title_full_unstemmed | Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach |
| title_short | Two-Temperature Generalized Thermoviscoelasticity with Fractional Order Strain Subjected to Moving Heat Source: State Space Approach |
| title_sort | two temperature generalized thermoviscoelasticity with fractional order strain subjected to moving heat source state space approach |
| url | http://dx.doi.org/10.1155/2015/487513 |
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