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Thermodynamics and departures from Fourier’s law of heat conduction. (English) Zbl 0114.44905

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[1] Fourier, J.: Théorie Analytique de la Chaleur. Paris: 1822 = Oeuvres1. · JFM 15.0954.01
[2] 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.
[3] 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).
[4] Coleman, B. D., & W.Noll: The thermodynamics of elastic materials with heat conduction and viscosity. Arch. Rational Mech. Anal.13, 167-178 (1963). · Zbl 0113.17802
[5] 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).
[6] Truesdell, C.: A new definition of a fluid. II. The Maxwellian Fluid. J. Math. pures appl.30, 111-158 (1951). · Zbl 0043.39603
[7] Noll, W.: A mathematical theory of the mechanical behavior of continuous media. Arch. Rational Mech. Anal.2, 197-226 (1958). · Zbl 0083.39303
[8] Coleman, B. D., & W.Noll: Material symmetry and thermostatic inequalities in finite elastic deformations, forthcoming · Zbl 0123.40703
[9] 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.
[10] Pipkin, A. C., & R. S.Rivlin: Electrical conduction in deformed isotropic materials. J. Math. Phys.1, 127-130 (1960). · Zbl 0094.22604
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