-measures and bounds on the effective properties of composite materials.
Hencky-Prandtl nets and constant principal strain mappings with isolated singularities.
Homogénéisation
Homogénéisation de frontières par épi-convergence en élasticité linéaire
Homogénéisation de structures minces en béton armé
Homogenization and effective properties of plates weakened by partially penetrating fissures : convergence and duality
Homogenization limits of diffusion equations in thin domains
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...