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Thermomechanical Single Internal Variable Theory

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Internal Variables in Thermoelasticity

Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 243))

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Abstract

The theory of a single internal variable of state is well established including the weak nonlocality and the enrichment by extra entropy flux. The theory is based on the consideration of the internal variable of state as a tool for taking into account the internal dissipation. Inertial effects are absent in this theory by definition, which leads to parabolic evolution equations for the internal variables of state. Due to the simplicity, the single internal variable theory is the necessary first step in the construction of more sophisticated material models.

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Authors and Affiliations

  1. Department of Cybernetics, School of Science, Tallinn University of Technology, Tallinn, Estonia

    Arkadi Berezovski

  2. Institute of Particle and Nuclear Physics, MTA WIGNER Research Centre for Physics, Budapest, Hungary

    Peter Ván

  3. Department of Energy Engineering, Montavid Thermodynamic Research Group, Budapest University of Technology and Economics, Budapest, Hungary

    Peter Ván

Authors
  1. Arkadi Berezovski
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  2. Peter Ván
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Correspondence to Arkadi Berezovski .

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Berezovski, A., Ván, P. (2017). Thermomechanical Single Internal Variable Theory. In: Internal Variables in Thermoelasticity. Solid Mechanics and Its Applications, vol 243. Springer, Cham. https://doi.org/10.1007/978-3-319-56934-5_3

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  • DOI: https://doi.org/10.1007/978-3-319-56934-5_3

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-56933-8

  • Online ISBN: 978-3-319-56934-5

  • eBook Packages: EngineeringEngineering (R0)

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