Definitions
Truesdell’s method of entropy and temperature introduction is based on the second law of thermodynamics in a form of Clausius-Duhem inequality and starts with choosing a subset of independent variables in which constitutive equations are formulated. In Zhilin’s approach the independent variables emerge from the reduced equation of energy balance; the second law represents the set of Fourier and Planck inequalities that impose restrictions on the heat flux and dissipative part of stress tensors correspondingly.
Introduction
There are many different ways of entropy introduction and constitutive equation formulation. Truesdell’s and Zhilin’s approaches are among them. Although these methods show many similarities, they also exhibit a number of distinctions. In order to provide a comparative...
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References
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Ivanova, E.A., Vilchevskaya, E.N. (2018). Truesdell’s and Zhilin’s Approaches: Derivation of Constitutive Equations. In: Altenbach, H., Öchsner, A. (eds) Encyclopedia of Continuum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-53605-6_58-1
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DOI: https://doi.org/10.1007/978-3-662-53605-6_58-1
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