3 citations · 5 across the 15 of their papers we have counts for
17 papers
Stochastic homogenization of fractional obstacle problems
Francesco Deangelis, Matteo Focardi, Caterina Ida Zeppieri
We prove a stochastic homogenization result for a class of \emph{nonlinear} and \emph{nonlocal} variational problems in domains with many small randomly distributed (bilateral) obs…
Homogenisation of phase-field functionals with linear growth
Francesco Colasanto, Matteo Focardi, Caterina Ida Zeppieri
We propose a first rigorous homogenisation procedure in image-segmentation models by analysing the relative impact of (possibly random) fine-scale oscillations and phase-field regu…
Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations
Lucia Scardia, Konstantinos Zemas, Caterina Ida Zeppieri
In this paper we study the convergence of integral functionals with -growth in a randomly perforated domain of , with . Under the assumption that the perfora…
Stochastic homogenization of degenerate integral functionals with linear growth
Matthias Ruf, Caterina Ida Zeppieri
We study the limit behaviour of a sequence of non-convex, vectorial, random integral functionals, defined on , whose integrands satisfy degenerate linear growth conditions…
Gradient damage models for heterogeneous materials
Annika Bach, Teresa Esposito, Roberta Marziani +1
In this paper we study the asymptotic behaviour of phase-field functionals of Am brosio and Tortorelli type allowing for small-scale oscillations both in the volume and in the diff…
Phase-field approximation of functionals defined on piecewise-rigid maps
Marco Cicalese, Matteo Focardi, Caterina Ida Zeppieri
We provide a variational approximation of Ambrosio-Tortorelli type for brittle fracture energies of piecewise-rigid solids. Our result covers both the case of geometrically nonline…