Abstract
In these notes we are concerned with heat conduction described by using the entropy balance. The main advantage of this approach consists in recovering the positivity of the absolute temperature, necessary to prove thermodynamical consistency, directly by solving the equation. We introduce the model and discuss its thermomechanical consistency. Then, we investigate from the analytical and mechanical point of view, the Stefan problem written in terms of the entropy balance and using a generalized version of the principle of virual power including the effects of microscopic forces, responsible for the phase transition process. We prove existence of a solution in a fairly general physical framework, accounting for possible thermal memory effects and local interactions between the phases. Uniqueness is proved in the case no thermal memory nor local interactions are considered.
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Colli, P., Bonetti, E., Frémond, M. (2005). Entropy balance versus energy balance Application to the heat equation and to phase transitions. In: Frémond, M., Maceri, F. (eds) Mechanical Modelling and Computational Issues in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 23. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-32399-6_23
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DOI: https://doi.org/10.1007/3-540-32399-6_23
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-25567-3
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