Homogenization of almost periodic monotone operators
Homogenization of elliptic problems in a fiber reinforced structure. Non local effects
Homogenization of parabolic equations an alternative approach and some corrector-type results
We extend and complete some quite recent results by Nguetseng [Ngu1] and Allaire [All3] concerning two-scale convergence. In particular, a compactness result for a certain class of parameterdependent functions is proved and applied to perform an alternative homogenization procedure for linear parabolic equations with coefficients oscillating in both their space and time variables. For different speeds of oscillation in the time variable, this results in three cases. Further, we prove some corrector-type...
Homogenization of reinforced periodic one-codimensional structures
Hypersingular integral equations and applications to porous elastic materials with periodic cracks
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...
Il problema monolaterale di contatto dinamico con attrito di una trave su una fondazione alla Hetényi: un approccio agli elementi finiti
L'ipotesi di contatto monolaterale tra strutture di fondazione e terreno assume un significato importante in tutti quei problemi tecnici, nei quali l'area di contatto tra struttura e fondazione diviene percentualmente piccola, sia per la rigidezza relativa dei corpi a contatto, sia per la condizione di carico, soprattutto in presenza di carichi ribaltanti come possono adesempio essere le forze sismiche. In questo contesto sono stati sviluppati negli ultimi anni diversi studi, che riguadano però...
Il secondo suono nei cristalli : termodinamica ed equazioni costitutive
Instability critical loads of the fiber reinforced elastic composites.
Interaction between line cracks in an orthotropic layer.
Interior and exterior solutions for boundary value problems in composite elastic and viscous media.
Internal constraints and linear constitutive relations for transversely isotropic materials
All internal constraints compatible with transverse isotropy are determined and representation formulae are given for the constitutive relations of arbitrarily constrained, transversely isotropic materials.
Invariant line integrals in the theory of defective crystals
In a continuum theory of crystals with defects, invariant line integrals measure the line defects of the lattice structure. It is shown that the integrands of invariant line integrals can always be taken to have the transformation properties of covariant vector-valued functions.
Is it wise to keep laminating?
We study the corrector matrix to the conductivity equations. We show that if converges weakly to the identity, then for any laminate at almost every point. This simple property is shown to be false for generic microgeometries if the dimension is greater than two in the work Briane et al. [Arch. Ration. Mech. Anal., to appear]. In two dimensions it holds true for any microgeometry as a corollary of the work in Alessandrini and Nesi [Arch. Ration. Mech. Anal.158 (2001) 155-171]. We use this...
Is it wise to keep laminating ?
We study the corrector matrix to the conductivity equations. We show that if converges weakly to the identity, then for any laminate at almost every point. This simple property is shown to be false for generic microgeometries if the dimension is greater than two in the work Briane et al. [Arch. Ration. Mech. Anal., to appear]. In two dimensions it holds true for any microgeometry as a corollary of the work in Alessandrini and Nesi [Arch. Ration. Mech. Anal. 158 (2001) 155-171]. We use this...
Kačanov - Galerkin method and its application
Kinetic and hydrodynamic equations for granular media
In this lecture i present some open mathematical problems concerning some PDE arising in the study of one-dimensional models for granular media.
La valutazione teorica di spostamenti e rotazioni in fase anelastica negli elementi monodimensionali in cemento armato
Si presenta una metodologia di calcolo per valutare lo stato deformativo, in termini di curvature, rotazioni e spostamenti, negli elementi monodimensionali in cemento armato soggetti a carichi monotoni in regime anelastico. In particolare si tiene conto dello scorrimento acciaio calcestruzzo, e della collaborazione offerta dal calcestruzzo teso fra due successive lesioni. Si presenta il sistema di equazioni non-lineari che regge il problema, con le relative condizioni al contorno, e si discute in...
Le calcul des caractéristiques effectives pour des matériaux composites qui contiennent des nonhomogénéites attribuées d'une manière aléatoire. (Calculation of effective properties of composite materials with random inhomogeneities).
Localization effects for eigenfunctions near to the edge of a thin domain
Localization effects for eigenfunctions near to the edge of a thin domain
It is proved that the first eigenfunction of the mixed boundary-value problem for the Laplacian in a thin domain is localized either at the whole lateral surface of the domain, or at a point of , while the eigenfunction decays exponentially inside . Other effects, attributed to the high-frequency range of the spectrum, are discussed for eigenfunctions of the mixed boundary-value and Neumann problems, too.