1 citations · 1 across the 4 of their papers we have counts for
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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…
-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…
Nonlinear three-dimensional derivation of line tension for dislocations: quadratic growth
Adriana Garroni, Roberta Marziani, Riccardo Scala
In this paper we derive a line tension model for dislocations in 3d starting from a geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as the…