C- and F-Processes Model and Dynamic Thermoelasticity

  • Tamma K
  • Zhou X
  • Anderson C
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Abstract

Overview Emanating from the Boltzmann transport equa-tion, a newly developed C-and F-processes heat conduction constitutive model and the associated dynamic thermoelasticity are described. The model acknowledges the notion of the simulta-neous coexistence of both the slow Cattaneo-type C-processes and fast Fourier-type F-processes in the mechanisms of heat conduction. The formu-lation leads to a generalization of the macroscale in space one temperature theory for heat conduc-tion in solids of the Jeffreys-type model, Cattaneo model, and the Fourier model for heat conduction in solids. This is unlike the Jeffreys-type phe-nomenological model which cannot reduce to the classical Fourier model (but only to a Fourier-like representation with relaxation), and the Jeffreys-type model cannot explain the underlying physics associated the C-and F-processes model. A generalized thermoelastic theory is described to study the dynamic thermoelastic behavior of solids with special fea-tures which can explain the classical and nonclassical dynamic thermoelastic theories.

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Tamma, K. K., Zhou, X., & Anderson, C. V. D. R. (2014). C- and F-Processes Model and Dynamic Thermoelasticity. In Encyclopedia of Thermal Stresses (pp. 517–525). Springer Netherlands. https://doi.org/10.1007/978-94-007-2739-7_756

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