The paper is devoted to the analysis of a coupled thermoelastic 1D problem in presence of non-local thermal energy fluxes. The governing equation of temperature distribution involves fractional operators as far as a power-law decaying function is included in the transport equation of long-range fluxes that have been assumed proportional to the relative temperature among the interacting locations. Some numerical applications reporting the distribution of temperature in 1D elastic domain have been discussed in the paper.
Di Paola, M., Zingales, M. (2011). Non-Local Thermoelasticity: The Fractional Heat conduction. In Atti del XX Convegno Nazionale dell’Associazione Italiana di Meccanica Teorica ed Applicata (pp. 1-10).
Non-Local Thermoelasticity: The Fractional Heat conduction
DI PAOLA, Mario;ZINGALES, Massimiliano
2011-09-01
Abstract
The paper is devoted to the analysis of a coupled thermoelastic 1D problem in presence of non-local thermal energy fluxes. The governing equation of temperature distribution involves fractional operators as far as a power-law decaying function is included in the transport equation of long-range fluxes that have been assumed proportional to the relative temperature among the interacting locations. Some numerical applications reporting the distribution of temperature in 1D elastic domain have been discussed in the paper.
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