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Dynamic model of generalized thermoelasticity based on thermal mass theory

Wang Ying-Ze Song Xin-Nan

Dynamic model of generalized thermoelasticity based on thermal mass theory

Wang Ying-Ze, Song Xin-Nan
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  • Abstract views:  3663
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  • Received Date:  16 April 2012
  • Accepted Date:  15 May 2012
  • Published Online:  05 December 2012

Dynamic model of generalized thermoelasticity based on thermal mass theory

  • 1. Department of Energy and Power Engineering, Jiangsu University, Zhenjiang 212013, China
Fund Project:  Project supported by the National Natural Science Foundation of China (Grant Nos. 11102073, 50978125), the Natural Science Foundation of Jiangsu Province of China (Grant No. BK2008234), and the Research Foundation of Advanced Talents of Jiangsu University, China (Grant No. 10JDG055).

Abstract: A lagging response in time exists between the propagation of heat flux and the establishment of temperature gradient and it is affected by the space effect during the heat conduction with the micro-scale property. Based on the general heat conduction law of thermal mass, the dynamic model of generalized thermoelasticity is established by Clausius inequality and Helmholtz free energy, where the inertia effect on the time and space of heat flux and temperature is involved. The guiding equations are derived and given for the isotropic and homogeneous materials. By comparison with the existing models of generalized thermoelasticity, the guiding equations can reduce to the L-S, G-L and G-N models when the heat flux is not very high, so that the inertia effect on space of heat flux and temperature can be ignored. For micro-scale heat conduction, the heat flux may be very high and the inertial force due to the spatial velocity variation cannot be ignored, the non-Fourier phenomenon will take place even under steady state condition. In such cases, the thermal conductivity is affected by the inertia effect of the space, which can be explained by the model established in the paper. Meanwhile, the physically impossible phenomenon that thermal conductivity changes with structure size induced by existing generalized model can also be eliminated.

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