82 citations · 143 across the 36 of their papers we have counts for
3 papers · 1 filter
Vectorial crystallization problems and collective behavior
Lucia De Luca, Angelo Ninno, Marcello Ponsiglione
We propose and analyze a class of vectorial crystallization problems, with applications to crystallization of anisotropic molecules and collective behavior such as birds flocking a…
Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocations energies
R. Alicandro, M. Cicalese, M. Ponsiglione
We introduce and discuss discrete two-dimensional models for XY spin systems and screw dislocations in crystals. We prove that, as the lattice spacing $\e$ tends to zero, the relev…
Gradient theory for plasticity via homogenization of discrete dislocations
Adriana Garroni, Giovanni Leoni, Marcello Ponsiglione
In this paper, we deduce a macroscopic strain gradient theory for plasticity from a model of discrete dislocations. We restrict our analysis to the case of a cylindrical symmetry f…