19 citations · 58 across the 25 of their papers we have counts for
7 papers · 1 filter
Lower semicontinuity of quasiconvex bulk energies in SBV and integral representation in dimension reduction
Jean-Francois Babadjian
A result of Larsen concerning the structure of the approximate gradient of certain sequences of functions with Bounded Variation is used to present a short proof of Ambrosio's lowe…
Characterization of two-scale gradient Young measures and application to homogenization
Jean-Francois Babadjian, Margarida Baia, Pedro M. Santos
This work is devoted to the study of two-scale gradient Young measures naturally arising in nonlinear elasticity homogenization problems. Precisely, a characterization of this clas…
The Neumann sieve problem and dimensional reduction: a multiscale approach
Nadia Ansini, Jean-Francois Babadjian, Caterina Ida Zeppieri
We perform a multiscale analysis for the elastic energy of a -dimensional bilayer thin film of thickness whose layers are connected through an -periodically distributed…
Multiscale nonconvex relaxation and application to thin films
Jean-Francois Babadjian, Margarida Baia
-convergence techniques are used to give a characterization of the behavior of a family of heterogeneous multiple scale integral functionals. Periodicity, standard growth condit…
3D-2D analysis of a thin film with periodic microstructure
Jean-Francois Babadjian, Margarida Baia
The purpose of this article is to study the behavior of a heterogeneous thin film whose microstructure oscillates on a scale that is comparable to that of the thickness of the doma…
Quasistatic evolution of a brittle thin film
Jean-Francois Babadjian
This paper deals with the quasistatic crack growth of a homogeneous elastic brittle thin film. It is shown that the quasistatic evolution of a three-dimensional cylinder converges,…
Spatial heterogeneity in 3D-2D dimensional reduction
Jean-Francois Babadjian, Gilles A. Francfort
A justification of heterogeneous membrane models as zero-thickness limits of a cylindral three-dimensional heterogeneous nonlinear hyperelastic body is proposed in the spirit of Le…