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Description of nonlinear thermal effects by means of a two-component Cosserat continuum

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Abstract

A physical object under consideration is a conventional material that has elastic and thermodynamic properties. To describe thermal processes in the material, we use a mechanical model different from the models that are usually used in the kinetic theory and statistical physics. Our method of thermal processes modeling is based on an idea to introduce a continuum with an internal structure and to consider mechanical quantities associated with the additional degrees of freedom as analogies of thermodynamic quantities. In this way, we suggest mechanical interpretations of temperature and entropy, which can be a foundation for the description of thermal processes within the framework of continuum mechanics and by using the methods of continuum mechanics.

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Authors and Affiliations

  1. Department of Theoretical Mechanics, Peter the Great St. Petersburg Polytechnic University, Polytechnicheskaya, 29, 195251, St. Petersburg, Russia

    E. A. Ivanova

  2. Institute for Problems in Mechanical Engineering of Russian Academy of Sciences, Bolshoy pr. V.O., 61, 199178, St. Petersburg, Russia

    E. A. Ivanova

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  1. E. A. Ivanova
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Ivanova, E.A. Description of nonlinear thermal effects by means of a two-component Cosserat continuum. Acta Mech 228, 2299–2346 (2017). https://doi.org/10.1007/s00707-017-1829-0

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