3 citations · 5 across the 15 of their papers we have counts for
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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…
-convergence and stochastic homogenisation of singularly-perturbed elliptic functionals
Annika Bach, Roberta Marziani, Caterina Ida Zeppieri
We study the limit behaviour of singularly-perturbed elliptic functionals of the form \[ \mathcal F_k(u,v)=\int_A v^2\,f_k(x,\nabla u)dx+\frac{1}{\varepsilon_k}\int_A g_k(x,v,\vare…
A global method for deterministic and stochastic homogenisation in
Filippo Cagnetti, Gianni Dal Maso, Lucia Scardia +1
In this paper we study the deterministic and stochastic homogenisation of free-discontinuity functionals under \emph{linear} growth and coercivity conditions. The main novelty of o…