Rational Thermodynamics
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. T
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Continuum Thermodynamics and Constitutive Theory
Continuum Thermodynamics and Constitutive Theory
Christina Papenfuß
Continuum Thermodynamics and Constitutive Theory
123
Christina Papenfuß FB 2 Hochschule für Technik und Wirtschaft Berlin, Germany
ISBN 978-3-030-43988-0 ISBN 978-3-030-43989-7 https://doi.org/10.1007/978-3-030-43989-7
(eBook)
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Preface
About 15 years ago, I planned a lecture on continuum thermodynamics for engineering students of the third or fourth year. Special emphasis should be given on constitutive theory and the role of the second law of thermodynamics. At that time, I could not find any textbook giving an overview of the different “schools” of thermodynamic constitutive theory. In the lecture, I wanted to give an overview for the beginner with a critical view on the advantages, possibilities, presuppositions, and limitations of the different approaches. The methods should be illustrated by simple examples. The manuscript for that lecture was the starting point of the present book. Chapters 2 and 3 form a compact introduction to continuum theory, especially kinematics and balance equations. Chapter 4 is devoted to the notion of the thermodynamic state space, the set of variables in the domain of constitutive mappings. Different “schools” of thermodynamic constitutive theory have a different philosophy of choosing this state space. The choice of the state space is the first criterion for classifying the different theories. Chapter 5 deals with thermodynamics, especially the second law and the notion of thermodynamic equilibrium. Beginning with Chap. 6, we start with the exploitation
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