TY - JOUR
T1 - On a new C- and F-processes heat conduction constitutive model and the associated generalized theory of dynamic thermoelasticity
AU - Zhou, Xiangmin
AU - Tamma, Kumar K.
AU - Anderson, Christianne V.D.R.
PY - 2001/6/1
Y1 - 2001/6/1
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0035637242&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0035637242&partnerID=8YFLogxK
U2 - 10.1080/014957301300158094
DO - 10.1080/014957301300158094
M3 - Article
AN - SCOPUS:0035637242
VL - 24
SP - 531
EP - 564
JO - Journal of Thermal Stresses
JF - Journal of Thermal Stresses
SN - 0149-5739
IS - 6
ER -