References
Fourier, J.: Théorie Analytique de la Chaleur. Paris: 1822 = Oeuvres1.
Truesdell, C., & R. A.Toupin: The Classical Field Theories. In: Encyclopedia of Physics, Vol. III/1, edited by S.Flügge. Berlin-Göttingen-Heidelberg: Springer 1960.
Duhamel, J.-M.-C.: Mémoire sur les équations générales de la propagation de la chaleur dans les corps solides dont la conductibilité n'est pas la même dans tous les sens. J. École Polytech.13, cahier 21, 356–399 (1832).
Coleman, B. D., & W.Noll: The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal.13, 167–178 (1963).
Pipkin, A. C., & R. S.Rivlin: The formulation of constitutive equations in continuum physics. Technical Report DA 4531/4 to the U. S. Army Ordnance Corps (1958).
Truesdell, C.: A new definition of a fluid. II. The Maxwellian Fluid. J. Math. pures appl.30, 111–158 (1951).
Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal.2, 197–226 (1958).
Coleman, B. D., & W.Noll: Material symmetry and thermostatic inequalities in finite elastic deformations, forthcoming
Chu, B.-T.: Thermodynamics of elastic and of visco-elastic solids and non-linear thermoelasticity. Report NONR 562(20)1 to the U. S. Navy Office of Naval Research (1957), Brown University.
Pipkin, A. C., & R. S.Rivlin: Electrical conduction in deformed isotropic materials. J. Math. Phys.1, 127–130 (1960).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Coleman, B.D., Mizel, V.J. Thermodynamics and departures from Fourier's law of heat conduction. Arch. Rational Mech. Anal. 13, 245–261 (1963). https://doi.org/10.1007/BF01262695
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01262695