On a new C- and F-processes heat conduction constitutive model and the associated generalized theory of dynamic thermoelasticity

Xiangmin Zhou, Kumar K. Tamma, Christianne V.D.R. Anderson

Research output: Contribution to journalArticlepeer-review

30 Scopus citations

Abstract

Emanating from the Boltzmann transport equation, a new C- and F-processes heat conduction constitutive model is derived. The model acknowledges the notion of the simultaneous coexistence of both the slow Cattaneo-type C-processes and fast Fourier-type F-processes in the mechanisms of heat conduction. The C- and F-processes heat conduction constitutive model and the corresponding temperature equation that results from coupling the constitutive model with the energy equation naturally lead to a generalization of the macroscale in space one-temperature theory for heat conduction in solids of the Jeffreys '-type model, Cattaneo model, and the Fourier model for heat conduction in solids. This is unlike the Jeffreys '-type phenomenological model, which cannot reduce to the classical Fourier model (but only to a Fourier-like representation with relaxation) and it cannot explain the underlying physics associated with the C- and F-processes model. Additionally, the microscale in space two-temperature theory for pulse heating of metals is also high-lighted via the C- and F-processes heat conduction constitutive model. Emphasis is placed on the development of a new C- and F-processes heat conduction model based on generalized thermoelastic theory to study the dynamic thermoelastic.

Original languageEnglish (US)
Pages (from-to)531-564
Number of pages34
JournalJournal of Thermal Stresses
Volume24
Issue number6
DOIs
StatePublished - Jun 1 2001

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