Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys
Colli, Pierluigi
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 2 (1991), p. 55-64 / Harvested from Biblioteca Digitale Italiana di Matematica
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In this paper we prove existence, uniqueness, and continuous dependence for a one-dimensional time-dependent problem related to a thermo-mechanical model of structural phase transitions in solids. This model assumes the free energy depending on temperature, macroscopic deformation and also on the proportions of the phases. Here we neglect regularizing terms in the momentum balance equation and in the constitutive laws for the phase proportions.

In questa Nota si provano esistenza, unicità e dipendenza continua per un problema unidimensionale e dipendente dal tempo, relativo a un modello termomeccanico di transizioni di fase strutturali nei solidi. In questo modello si suppone che l'energia libera dipenda da temperatura, deformazioni macroscopiche e anche dalle proporzioni di fase. Si trascurano termini regolarizzanti nella equazione di bilancio del momento e nella legge costitutiva delle proporzioni di fase.

Publié le : 1991-03-01
@article{RLIN_1991_9_2_1_55_0,
     author = {Pierluigi Colli},
     title = {Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys},
     journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
     volume = {2},
     year = {1991},
     pages = {55-64},
     zbl = {0745.73002},
     mrnumber = {1120123},
     language = {en},
     url = {http://dml.mathdoc.fr/item/RLIN_1991_9_2_1_55_0}
}

Colli, Pierluigi. Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys. Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni, Tome 2 (1991) pp. 55-64. http://gdmltest.u-ga.fr/item/RLIN_1991_9_2_1_55_0/

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