Asymptotic waves in viscoanelastic media with memory by the double-scale method
| Autor: | Restuccia, Liliana |
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| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali, Vol 96, Iss 1, p A5 (2018) Atti della Accademia Peloritana dei Pericolanti-Classe di Scienze Fisiche, Matematiche e Naturali; Vol 96, No 1 (2018); A5 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matematiche e Naturali; Vol 96, No 1 (2018); A5 |
| ISSN: | 1825-1242 0365-0359 |
| Popis: | In this paper asymptotic dissipative waves in viscoanelastic media with shape and volumetric memory, previously studied by the author in a more classical way, are studied from the point of view of the double-scale method. Then, a physical interpretation is given of a new (fast) variable ξ, related to the family of hypersurfaces S, across which the solutions or/and some of their derivatives vary steeply, whereas their variation is slow along S and related to the old variables x^α (called slow variables). The double-scale method is sketched. The thermodynamical model governing in the three-dimensional case the motion of the rheological media under consideration is presented and many results regarding the propagation of a particular solution into a uniform unperturbed state and the approximation of the first order of the wave front of this solution are given in full detail and reviewed by the double-scale method. Other novel results are worked out. The thermodynamic models for viscoanelastic media with memory are applied in rheology and in several technological sectors. |
| Databáze: | OpenAIRE |
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