1 citations · 2 across the 9 of their papers we have counts for
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Non-local approximation of free-discontinuity problems in linear elasticity and application to stochastic homogenisation
Roberta Marziani, Francesco Solombrino
We analyse the -convergence of general non-local convolution type functionals with varying densities depending on the space variable and on the symmetrized gradient. The limit i…
Line-tension limits for line singularities and application to the mixed-growth case
Sergio Conti, Adriana Garroni, Roberta Marziani
We study variational models for dislocations in three dimensions in the line-tension scaling. We present a unified approach which allows to treat energies with subquadratic growth…
-convergence and stochastic homogenisation of phase-transition functionals
Roberta Marziani
In this paper we studythe asymptotics of singularly perturbed phase-transition functionals of the form \[ F_k(u)=\frac{1}{ε_k}\int_A f_k(x,u,ε_k\nabla u)\,dx\,, \] where $u \in [0,…
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…
A non-parametric Plateau problem with partial free boundary
Giovanni Bellettini, Roberta Marziani, Riccardo Scala
We consider a Plateau problem in codimension in the non-parametric setting. A Dirichlet boundary datum is given only on part of the boundary of a bounded convex do…