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| Titel: |
Fundamental Solutions to Central Symmetric Problems for Fractional Heat Conduction Equation and Associated Thermal Stresses |
| Auteur: |
Povstenko, Y. Z. |
| Verschenen in: |
Journal of thermal stresses |
| Paginering: | Jaargang 31 (2008) nr. 2 pagina's 127-148 |
| Jaar: |
2008-02 |
| Inhoud: |
A quasi-static uncoupled theory of thermal stresses based on the time-fractional heat conduction equation is considered. The Caputo fractional derivative of order α is used. The fundamental solutions to the Cauchy problems as well as to the source problem are studied in the case of spherical symmetry, and corresponding thermal stresses are investigated. The solutions are obtained using the Laplace transform with respect to time and the sin-Fourier transform with respect to radial coordinate. For 1 < α < 2 the proposed theory interpolates the classical theory of thermoelasticty and that without energy dissipation introduced by Green and Naghdi. The numerical results for the temperature and stress distributions are presented graphically for various values of order of fractional derivative. |
| Uitgever: |
Taylor & Francis |
| Bronbestand: |
Elektronische Wetenschappelijke Tijdschriften |
Details van artikel 4 van 7 gevonden artikelen
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