Distinguished rheological models for solids in the framework of a thermodynamical internal variable theory

Csaba Asszonyi, T. Fülöp, P. Ván

Research output: Contribution to journalArticle

17 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)971-986
Number of pages16
JournalContinuum Mechanics and Thermodynamics
Volume27
Issue number6
DOIs
Publication statusPublished - Nov 1 2015

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Rheology
rheology
constrictions
Thermodynamics
methodology
thermodynamics

Keywords

  • Internal variable
  • Irreversible thermodynamics
  • Rheology
  • Solid

ASJC Scopus subject areas

  • Mechanics of Materials
  • Materials Science(all)
  • Physics and Astronomy(all)

Cite this

Distinguished rheological models for solids in the framework of a thermodynamical internal variable theory. / Asszonyi, Csaba; Fülöp, T.; Ván, P.

In: Continuum Mechanics and Thermodynamics, Vol. 27, No. 6, 01.11.2015, p. 971-986.

Research output: Contribution to journalArticle

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