Estimates from above and from below for the Homogenized Coefficients.
Étude de transmission à travers des inclusions minces faiblement conductrice de «codimension un» : homogénéisation et optimisation des structures
Explicit solutions of the basic boundary value problems of statics of the elastic mixture theory for an annulus.
Extended Hashin-Shtrikman variational principles
Internal parameters, eigenstrains, or eigenstresses, arise in functionally graded materials, which are typically present in particulate, layered, or rock bodies. These parameters may be realized in different ways, e.g., by prestressing, temperature changes, effects of wetting, swelling, they may also represent inelastic strains, etc. In order to clarify the use of eigenparameters (eigenstrains or eigenstresses) in physical description, the classical formulation of elasticity is presented, and the...
Fading memory effects in elastic-viscoelastic composites
Flambage des plaques élastiques multiperforées
-measures and bounds on the effective properties of composite materials.
Homogénéisation de structures minces en béton armé
Homogenization limits of diffusion equations in thin domains
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
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...
Instability critical loads of the fiber reinforced elastic composites.
Interaction between line cracks in an orthotropic layer.
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...
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).
Non-local damage modelling of quasi-brittle composites
Most building materials can be characterized as quasi-brittle composites with a cementitious matrix, reinforced by some stiffening particles or elements. Their massive exploitation motivates the development of numerical modelling and simulation of behaviour of such material class under mechanical, thermal, etc. loads, including the evaluation of the risk of initiation and development of micro- and macro-fracture. This paper demonstrates the possibility of certain deterministic prediction, applying...
On elastic waves in a thin-layered laminated medium with stress couples under initial stress.