35 citations · 74 across the 20 of their papers we have counts for
22 papers
A discrete crystal model in three dimensions: the line-tension limit for dislocations
Sergio Conti, Adriana Garroni, Michael Ortiz
We propose a discrete lattice model of the energy of dislocations in three-dimensional crystals which properly accounts for lattice symmetry and geometry, arbitrary harmonic intera…
Stacking faults in the limit of a discrete model for partial edge dislocations
Annika Bach, Marco Cicalese, Adriana Garroni +1
In the limit of vanishing lattice spacing we provide a rigorous variational coarse-graining result for a next-to-nearest neighbor lattice model of a simple crystal. We show that th…
On the Read-Shockley energy for grain boundaries in poly-crystals
Adriana Garroni, Martino Fortuna, Emanuele Spadaro
In the 50's Read and Shockley proposed a formula for the energy of small angle grain boundaries in polycrystals based on linearised elasticity and an ansazt on the distribution of…
Homogenization of line tension energies
Martino Fortuna, Adriana Garroni
We prove an homogenization result, in terms of -convergence, for energies concentrated on rectifiable lines in without boundary. The main application of our result is in…
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…
Density of polyhedral partitions
Andrea Braides, Sergio Conti, Adriana Garroni
We prove the density of polyhedral partitions in the set of finite Caccioppoli partitions. Precisely, we consider a decomposition of a bounded Lipschitz set $Ω\subset\mathbb R^…