16 citations · 16 across the 2 of their papers we have counts for
5 papers
Enhancement of elasto-dielectrics by homogenization of active charges
Gilles A. Francfort, Antoine Gloria, Oscar Lopez-Pamies
We investigate the PDE system resulting from even electromechanical coupling in elastomers. Assuming a periodic microstructure and a periodic distribution of micro-charges of a pre…
Continuity equation and characteristic flow for scalar Hencky plasticity
Jean-Francois Babadjian, Gilles A. Francfort
We investigate uniqueness issues for a continuity equation arising out of the simplest model for plasticity, Hencky plasticity. The associated system is of the form $\rm{ curl\;}(μ…
A two-dimensional labile aether through homogenization
Marc Briane, Gilles A. Francfort
Homogenization in linear elliptic problems usually assumes coercivity of the accompanying Dirichlet form. In linear elasticity, coercivity is not ensured through mere (strong) elli…
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…
Quasistatic crack growth in finite elasticity
Gianni Dal Maso, Gilles A. Francfort, Rodica Toader
In this paper, we prove a new existence result for a variational model of crack growth in brittle materials proposed in [15]. We consider the case of -dimensional finite elastic…