Dual phase lag two temperature fractional thermoelasticity in the context of Green Naghdi type II
The linear thermoelasticity theory without energy dissipation developed by Green Naghdi has been reconstructed using two-phase lags and two temperature theory in the framework of the fractional time derivative. In half space, the mathematical model for one dimensional wave propagation subject to th...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Western Libraries
2024-12-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/20987 |
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| Summary: | The linear thermoelasticity theory without energy dissipation developed by Green Naghdi has been reconstructed using two-phase lags and two temperature theory in the framework of the fractional time derivative. In half space, the mathematical model for one dimensional wave propagation subject to thermal shock on the bounding surface is discussed. Assume that the bounding surface is traction free. The analytical solutions have been obtained in the Laplace domain. The Gaver-Stehfest technique is simple, efficient, and robust. It has been numerically used to perform an inversion of the Laplace transform, satisfying Kuznetsov’s convergence condition in the time domain. The significance of the fractional order parameter on variations of various fields inside the medium is addressed graphically. The utilization of delay time translations in heat flux vector and thermal displacement gradient causes the finite speed of wave propagation and depicts microscopic responses more precisely.
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| ISSN: | 2563-1926 |