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A thermodynamic theory of fluids and solids in electromagnetic fields. (English) Zbl 0366.73001

MSC:
74A15 Thermodynamics in solid mechanics
76A99 Foundations, constitutive equations, rheology, hydrodynamical models of non-fluid phenomena
74A20 Theory of constitutive functions in solid mechanics
76W05 Magnetohydrodynamics and electrohydrodynamics
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[1] Müller, I.: Die Kältefunktion, eine universelle Funktion in der Thermodynamik viskoser wärme-leitender Flüssigkeiten. Arch. Rational Mech. Analysis 40, 1–36 (1971). · Zbl 0229.73003 · doi:10.1007/BF00281528
[2] Hutter, K.: The Foundation of Thermodynamics, its Basic Postulates and Implications. A Review of Modern Thermodynamics. Acta Mechanica, to appear.
[3] Liu, I-Shih, & I. Müller: On the Thermodynamics and Thermostatics of Fluids in Electromagnetic Fields. Arch. Rational Mech. Analysis 46, 149–176 (1972). · Zbl 0252.76072
[4] Hutter, K.: On Thermodynamics and Thermostatics of Viscous thermoelastic solids in the Electro-magnetic Fields, A Lagrangian Formulation. Arch. Rational Mech. Analysis 58, 339–368 (1975). · Zbl 0332.73095 · doi:10.1007/BF00250295
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[8] Truesdell, C, & R. Toupin: The Classical Field Theories, in Handbuch der Physik Vol III/1, Springer Verlag Berlin-Göttingen-Heidelberg 1960.
[9] Liu, I-Shih: On the Entropy Supply in a Classical and a Relativistic Fluid. Arch. Rational. Mech. Analysis 50, 111–117 (1973).
[10] Liu, I-Shih: Method of Lagrangian Multipliers for the Exploitation of the Entropy Principle. Arch. Rational. Mech. Analysis 46, 131–148 (1972). · Zbl 0252.76003
[11] Liu, I-Shih: On Irreversible Thermodynamics, Dissertation, The Johns Hopkins University (1972).
[12] Truesdell, C., & W. Noll: The Nonlinear Field Theories of Mechanics, in Handbuch der Physik, Vol. III/3, Springer Verlag Berlin-Heidelberg-New York 1965. · Zbl 0779.73004
[13] Carathéodory, C.: Untersuchungen über die Grundlagen der Thermodynamik. Math. Annalen 67, 355–386 (1909). · doi:10.1007/BF01450409
[14] De Groot, S.R., & L.G. Suttorp: Foundations of Electrodynamics, North Holland Publishing Company, Amsterdam 1972.
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