Mathematical approach to the relaxation phenomena.
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Mathematical study of an evolution problem describing the thermomechanical process in shape memory alloys
Pierluigi Colli (1991)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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.
Modelli di phase-field conservati con memoria nello spazio delle storie
Federico M. Vegni (2001)
Bollettino dell'Unione Matematica Italiana
Multipdimensional two-phase quasistationary Stefan Problem.
Boris Zaltzman (1993)
Manuscripta mathematica
Multipolar viscoelastic materials and the symmetry of the coefficients of viscosity
Miroslav Šilhavý (1992)
Applications of Mathematics
The integral constitutive equations of a multipolar viscoelastic material are analyzed from the thermodynamic point of view. They are shown to be approximated by those of the differential-type viscous materials when the processes are slow. As a consequence of the thermodynamic compatibility of the viscoelastic model, the coefficients of viscosity of the approximate viscous model are shown to have an Onsager-type symmetry. This symmetry was employed earlier in the proof of the existence of solutions...
Currently displaying 1 – 5 of 5
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