First-order phase transitions are modelled by a non-homogeneous, time-dependent scalar-valued order parameter or phase field. The time dependence of the order parameter is viewed as arising from a balance law of the structure order. The gross motion is disregarded and hence the body is regarded merely as a heat conductor. Compatibility of the constitutive functions with thermodynamics is exploited by expressing the second law through the classical Clausius-Duhem inequality. First, a model for conductors without memory is set up and the order parameter is shown to satisfy a maximum theorem. Next, heat conductors with memory are considered. Different evolution problems are established through a system of differential equations whose form is related to the manner in which the memory property is represented. Copyright © 2007 John Wiley & Sons, Ltd.
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|Titolo:||A continuum theory for first-order phase transitions based on the balance of structure order|
|Data di pubblicazione:||2008|
|Citazione:||A continuum theory for first-order phase transitions based on the balance of structure order / Fabrizio, M.; Giorgi, C.; Morro, A. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 31(2008), pp. 627-653.|
|Appare nelle tipologie:||01.01 - Articolo su rivista|