Sommario
Entro una teoria classica per materiali differenziali di complessità uno si prova che la diseguaglianza di Clausius-Planck equivale ad un'altra diseguaglianza dissipativa, qui detta dell'extra-stress. Entro una teoria alla Green-Naghdi la prima diseguaglianza implica l'annullarsi di un termine legato alla funzione di risposta per la produzione interna di entropia; e l'annullarsi di tale termine implica l'equivalenza tra le diseguaglianze sopra menzionate.
Summary
Within a classical theory of differential materials of complexity one, we prove that the Clausius-Planck inequality is equivalent to another one, here called the extra-stress inequality. Within a Green-Naghdi theory, the first inequality implies the vanishing of a term related to the response function for the internal production of entropy; and the vanishing of this term implies the equivalence of the two aforementioned inequalities.
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Montanaro, A. On the Clausius-Planck inequality within theories for differential materials. Meccanica 25, 192–194 (1990). https://doi.org/10.1007/BF01556441
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DOI: https://doi.org/10.1007/BF01556441