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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 2314-4629 2314-4785 |