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Sui potenziali termodinamici dei sistemi elettromagnetici semplici

Michele CiarlettaGiovanni Matarazzo — 1986

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

We consider a thermoelectromagnetic system characterized by Maxwell-Cattaneo like constitutive equations for the heat flux and the electric current density. We prove the existence of the internal energy and specific free entalpy potentials and further of the entropy upperpotential without using the Clausius-Duhem inequality.

A minimum principle in the dynamics of elastic materials with voids

Michele CiarlettaEdoardo Scarpetta — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.

Hypersingular integral equations and applications to porous elastic materials with periodic cracks

Michele CiarlettaGerardo Iovane — 2005

Bollettino dell'Unione Matematica Italiana

In this work a treatment of hypersingular integral equations, which have relevant applications in many problems of wave dynamics, elasticity and fluid mechanics with mixed boundary conditions, is presented. The first goal of the present study is the development of an efficient analytical and direct numerical collocation method. The second one is the application of the method to the porous elastic materials when a periodic array of co-planar cracks is present. Starting from Cowin- Nunziato model...

Sui potenziali termodinamici dei sistemi elettromagnetici semplici

Michele CiarlettaGiovanni Matarazzo — 1986

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

We consider a thermoelectromagnetic system characterized by Maxwell-Cattaneo like constitutive equations for the heat flux and the electric current density. We prove the existence of the internal energy and specific free entalpy potentials and further of the entropy upperpotential without using the Clausius-Duhem inequality.

A minimum principle in the dynamics of elastic materials with voids

Michele CiarlettaEdoardo Scarpetta — 1989

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

In the context of the linear, dynamic problem for elastic bodies with voids, a minimum principle in terms of mechanical energy is stated. Involving a suitable (Reiss type) function in the minimizing functional, the minimum character achieved in the Laplace-transform domain is preserved when going back to the original time domain. Initial-boundary conditions of quite general type are considered.

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