In this paper we prove that for elastic, isotropic, omogeneus materials for which the heat flux vector obey the relation of Cattaneo there is a unique continuously differentiable entropy function.
We consider an incompressible elastic solid which admits a configuration of equilibrium having the shape of a rectangular parallelepiped when external forces are absent. We look for a thermoelastic transformation mapping that configuration onto a cylindrical wedge . The problem we consider is analogous to the one where both and are cylindrical crowns. This case has been considered by T. Manacorda Referring to a system of cylindrical coordinates , and , we show that the transformation...
In the present work an extension of a classical Menabrea’s theorem on a variational principle of the second potential energy is considered. Such extension deals with hyperelastic micropolar media without constraints.
Viene affrontato lo studio della inversione dell'equazione costitutiva (1.2) della viscoelasticità lineare, in funzione dei diversi spazi topologici su cui si può definire tale problema. In particolare si mostra che l'inversione di (1.2) ammette risposte completamente diverse al variare degli spazi di definizione, anche quando tali spazi vengono scelti sulla base delle topologie legate alle funzioni energia del problema considerato.
Hildebrand et al. (1999) proposed an adsorbate-induced phase transition model. For this model, Takei et al. (2005) found several stationary and evolutionary patterns by numerical simulations. Due to bistability of the system, there appears a phase separation phenomenon and an interface separating these phases. In this paper, we introduce the equation describing the motion of two interfaces in and discuss an application. Moreover, we prove the existence of the traveling front solution which approximates...