Messanae Universitas Studiorum: No conditions. Results ordered -Date Deposited. 2017-02-20T18:04:48ZEPrintshttp://cab.unime.it/images/sitelogo.pnghttp://cab.unime.it/mus/2012-09-18T07:57:00Z2012-09-18T07:57:00Zhttp://cab.unime.it/mus/id/eprint/590This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/5902012-09-18T07:57:00ZOn the Energy of the Gravitational Field for Spherically Symmetric Space-timesWe apply to the class of spherically symmetric space-times a new formula for the energy of the gravitational field expressed in tetrad formalism. We show taht this allows less restrictive asymptotic conditions. Marco FerrarisMauro FrancavigliaMichele Mottini2008-08-07Z2010-04-13T11:15:56Zhttp://cab.unime.it/mus/id/eprint/492This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/4922008-08-07ZThermodynamics of heterogeneous and anisotropic nonlinear ferroelastic crystals 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 Ã 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.
Mauro FrancavigliaLiliana Restuccia2008-01-28Z2012-09-20T06:54:58Zhttp://cab.unime.it/mus/id/eprint/457This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/4572008-01-28ZThermodynamics of heterogeneous and anisotropic nonlinear ferroelastic crystals
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 Ã 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.
Mauro FrancavigliaLiliana Restuccia2005-12-02Z2012-09-20T08:06:10Zhttp://cab.unime.it/mus/id/eprint/356This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/3562005-12-02ZA geometric model for magnetizable bodies with internal variablesIn a geometrical framework for thermo-elasticity of continua with internal variables we consider a model of magnetizable media previously discussed and investigated by Maugin. We assume as state variables the magnetization together with its space gradient, subjected to evolution equations depending on both internal and external magnetic fields. We calculate the entropy function and necessary conditions for its existenceMauro FrancavigliaLiliana RestucciaP. Rogolino2004-05-27Z2012-09-20T06:51:18Zhttp://cab.unime.it/mus/id/eprint/39This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/392004-05-27ZSecond Variation and Generalized Jacobi Equations for Curvature InvariantsWe consider the second variation and the appropriate Jacobi eqautions for the scalar curvature and the quadratic curvature invariants based on an independent pair (g, T) formed by a metric and torsionless linear connection (so-called 'Palatini formalism'). The purely metric case is obtained as a consequence. The results are worked out in fill detail in view of applications to non-linear Lagrangian theories of gravitation.Oriella AmiciBiagio CasciaroMauro Francaviglia