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Rational Thermodynamics

  • Christina Papenfuß
Chapter
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Abstract

Rational thermodynamics starts out with a few axioms: Constitutive functions fulfill the principle of equipresence, i.e., depend all on the same set of variables, symmetry relations, the requirements of objectivity, and the second law of thermodynamics. The second law of thermodynamics restricts the class of materials. These restrictions are derived by the method of Liu. In the first example, a simple, heat-conducting, viscous fluid, this method leads exactly to the assumptions and predictions of irreversible thermodynamics. In other examples, including material damage and fiber suspensions, the state space includes an internal variable. If the differentiated balance equations are considered as additional constraints, the restrictions on constitutive functions become weaker.

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  • Christina Papenfuß
    • 1
  1. 1.FB 2Hochschule für Technik und WirtschaftBerlinGermany

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