Titlebook: Continuum Thermodynamics and Constitutive Theory; Christina Papenfuß Book 2020 Springer Nature Switzerland AG 2020 Rational Thermodynamics

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State Spaces and Constitutive Equations,e. A non-equilibrium state space may include gradients and time derivatives of the wanted fields, or internal variables, or fluxes like heat flux and stress tensor. Thermodynamic constitutive theories are classified according to the choice of the state space.

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https://doi.org/10.1007/978-3-531-90529-7The subject of the present book is the different aspects of constitutive theory in phenomenological continuum thermodynamics. Some references to other statistical approaches to the constitutive theory are given.

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https://doi.org/10.1007/978-3-531-90561-7The zeroth, first, and second law of thermodynamics are fundamental axioms. For the second law of thermodynamics, there exist different formulations, f.e. the non-existence of a perpetuum mobile of the second kind, Clausius formulation or the statement, that the entropy production is non-negative in each volume element at any time.

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Some Elements of Continuum Mechanics,The Eulerian and the Lagrangian description of continuum mechanics are introduced as well as the material time derivative and the deformation gradient. As mathematical tools for the following chapters, integral theorems and Reynolds’ transport theorem are given.

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