English

Kluitenberg-Verh\'as rheology of solids in the GENERIC framework

Statistical Mechanics 2019-07-24 v4 Classical Physics

Abstract

The internal variable methodology of nonequilibrium thermodynamics, with a symmetric tensorial internal variable, provides an important rheological model family for solids, the so-called Kluitenberg-Verh\'as model family [1]. This model family is distinguished not only from theoretical aspects but also on experimental grounds (see [2] for plastics and [3, 4, 5] for rocks). In this article, we present and discuss how the internal variable formulation of the Kluitenberg-Verh\'as model family can be presented in the nonequilibrium thermodynamical framework GENERIC (General Equation for the Non-Equilibrium Reversible-Irreversible Coupling) [6, 7, 8, 9], for the benefit of both thermodynamical methodologies as well as for promising practical applications.

Keywords

Cite

@article{arxiv.1812.07052,
  title  = {Kluitenberg-Verh\'as rheology of solids in the GENERIC framework},
  author = {Mátyás Szücs and Tamás Fülöp},
  journal= {arXiv preprint arXiv:1812.07052},
  year   = {2019}
}

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12 pages