Messanae Universitas Studiorum

Thermodynamics of heterogeneous and anisotropic nonlinear ferroelastic crystals

Francaviglia, Mauro and Restuccia, Liliana (2008) Thermodynamics of heterogeneous and anisotropic nonlinear ferroelastic crystals. Atti della Accademia Peloritana dei Pericolanti, Classe di Scienze FF.MM.NN, LXXXVI (Supplement 1). ISSN 1825-1242

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    Abstract

    In a previous paper, in a geometrized framework for the description of simple materials with internal variables, the specific example of ferroelastic crystals with anisotropy grain-tensors à la Maruszewski was considered and the relevant structure of the entropy 1-form was derived. In this contribution the linear morphism defined on the fibre bundle of the process and the transformation induced by the process are obtained as new results within the geometrical model. Furthermore, Clausius-Duhem inequality for these media is exploited, and, using a Maugin technique (see also Colemann-Noll procedure), the laws of state, the extra entropy flux and the residual dissipation inequality are worked out. Finally, following Maugin, the heat equation in the first and the second form are derived.

    Item Type: Article
    Subjects: M.U.S. - Contributi Scientifici > 01 - Scienze matematiche e informatiche
    M.U.S. - Miscellanea > Atti Accademia Peloritana > Classe di Scienze Fisiche, Matematiche e Naturali
    Divisions: UNSPECIFIED
    Depositing User: Mr Nunzio Femminò
    Date Deposited: 28 Jan 2008
    Last Modified: 20 Sep 2012 08:54
    URI: http://cab.unime.it/mus/id/eprint/457

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