Abstract
We present and analyse a thermodynamical theory of rheology with single internal variable. The universality of the model is ensured as long as the mesoscopic and/or microscopic background processes satisfy the applied thermodynamical principles, which are the second law, the basic balances and the existence of an additional—tensorial—state variable. The resulting model, which we suggest to call the Kluitenberg–Verhás body, is the Poynting–Thomson–Zener body with an additional inertial element or, in other words, is the extension of Jeffreys model to solids. We argue that this Kluitenberg–Verhás body is the natural thermodynamical building block of rheology. An important feature of the presented methodology is that nontrivial inequality-type restrictions arise for the four parameters of the model. We compare these conditions and other aspects to those of other known thermodynamical approaches, like Extended Irreversible Thermodynamics or the original theory of Kluitenberg.
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Communicated by Andreas Öchsner.
Work supported by the Hungarian National Research Fund OTKA under contracts K81161, K82024, K104260.
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Asszonyi, C., Fülöp, T. & Ván, P. Distinguished rheological models for solids in the framework of a thermodynamical internal variable theory. Continuum Mech. Thermodyn. 27, 971–986 (2015). https://doi.org/10.1007/s00161-014-0392-3
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DOI: https://doi.org/10.1007/s00161-014-0392-3