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Two Thermodynamic Laws as the Forth and the Fifth Integral Postulates of Continuum Mechanics

  • Boris E. Pobedria
  • Dimitri V. Georgievskii
Chapter
Part of the Studies in Systems, Decision and Control book series (SSDC, volume 69)

Abstract

A methodological reduction of the known in physics statements of the first and second laws of thermodynamics to general form of integral postulates adopted in classical mechanics of continuous media, is realized. It is shown that the second law should be represented in the Carathéodory form which makes possible to introduce both absolute temperature and entropy as phenomenological values not having recourse to the model of perfect gas and the Carnot cycle. The local equations being consequences of the integral postulates include mass densities of thermodynamic values which must be defined as scalar or vector fields in material.

Keywords

Internal Energy Thermodynamic Potential Thermodynamic System Actual Frame Carnot Cycle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

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    Germain, P.: Cours de Mécanique des Milieux Continus. T. 1. Théorie Générale. Masson Éditeurs, Paris (1973)Google Scholar
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    Sedov, L.I.: Mechanics of Continuous Media, vols. I, II. World Scientific Publ, Singapore (1997)Google Scholar
  3. 3.
    Ilyushin, A.A.: Mechanics of Continuous Media. Moscow State Univ. Publ, Moscow (1990). [in Russian]Google Scholar
  4. 4.
    Pobedria, B.E., Georgievskii, D.V.: Foundations of Mechanics of Continuous Media. Fizmatlit, Moscow (2006). [in Russian]Google Scholar
  5. 5.
    Pobedria, B.E., Georgievskii, D.V.: Uniform approach to construction of nonisothermal models in the theory of constitutive relations. Continuous and Distributed Systems II. Ser. Studies in Systems, Decision and Control, vol. 30, pp. 341–352 (2015)Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Moscow State UniversityMoscowRussia

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