17 citations · 36 across the 28 of their papers we have counts for
Showing 2020Show all
3 papers · 1 filter
math.AP2020★ 1 cited
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…
math.AP2020
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…
math.AP2020
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…