Abstract
We consider the mechanical model of a two-component medium whose first component is a classical continuum and the other one is a continuum having only rotational degrees of freedom. We show that the proposed model can be used for the description of thermal and dissipative phenomena. It is the presence of additional rotational degrees of freedom and, accordingly, additional inertia and elastic characteristics which can be interpreted as thermodynamical material parameters that distinguish the proposed model among other continuum models. In special cases the mathematical description of the proposed model is proved to reduce to the well-known equations such as the heat conduction, the self-diffusion and the coupled thermoelastic equations. The mathematical description of the proposed mechanical model includes not only the classical formulation of the coupled problem of thermoelasticity but also the formulation of the coupled problem of thermoelasticity with the hyperbolic type heat conduction equation. In the context of the introduced theory we consider the original model of internal damping.
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Ivanova, E.A. (2011). On one Model of Generalized Continuum and its Thermodynamical Interpretation. In: Altenbach, H., Maugin, G., Erofeev, V. (eds) Mechanics of Generalized Continua. Advanced Structured Materials, vol 7. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19219-7_7
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DOI: https://doi.org/10.1007/978-3-642-19219-7_7
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