8 papers · 1 filter
On some non-local approximation of nonisotropic Griffith-type functionals
Fernando Farroni, Giovanni Scilla, Francesco Solombrino
The approximation in the sense of -convergence of nonisotropic Griffith-type functionals, with growth () in the symmetrized gradient, by means of a suitable sequence of…
Partial regularity for minimizers of discontinuous quasiconvex integrals with general growth
Christopher Goodrich, Giovanni Scilla, Bianca Stroffolini
We prove the partial Hölder continuity for minimizers of quasiconvex functionals \[ \mathcal{F}({\bf u}) \colon =\int_Ω f(x,{\bf u},D{\bf u})\,\mathrm{d}x, \] where satisfies a…
Nucleation and growth of lattice crystals
Andrea Braides, Giovanni Scilla, Antonio Tribuzio
A variational lattice model is proposed to define an evolution of sets from a single point (nucleation) following a criterion of "maximization" of the perimeter. At a discrete leve…
Non-local approximation of the Griffith functional
Giovanni Scilla, Francesco Solombrino
An approximation, in the sense of -convergence and in any dimension , of Griffith-type functionals, with growth () in the symmetrized gradient, is provided by m…
A derivation of Griffith functionals from discrete finite-difference models
Vito Crismale, Giovanni Scilla, Francesco Solombrino
We analyze a finite-difference approximation of a functional of Ambrosio-Tortorelli type in brittle fracture, in the discrete-to-continuum limit. In a suitable regime between the c…
Motion of discrete interfaces on the triangular lattice
Giovanni Scilla
We study the motion of discrete interfaces driven by ferromagnetic interactions on the two-dimensional triangular lattice by coupling the Almgren, Taylor and Wang minimizing moveme…