5 citations · 12 across the 12 of their papers we have counts for
13 papers
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…
Mean-field optimal control in a multi-agent interaction model for prevention of maritime crime
Gianluca Orlando
We study a multi-agent system for the modeling maritime crime. The model involves three interacting populations of ships: commercial ships, pirate ships, and coast guard ships. Com…
Variational analysis of the -- model: a non-linear lattice version of the Aviles-Giga functional
Marco Cicalese, Marwin Forster, Gianluca Orlando
We study the variational limit of the frustrated -- spin model on the square lattice in the vicinity of the ferromagnet/helimagnet transition point as the lattice sp…
The -clock model: Variational analysis for fast and slow divergence rates of
Marco Cicalese, Gianluca Orlando, Matthias Ruf
We study a nearest neighbors ferromagnetic spin system on the square lattice in which the spin field is constrained to take values in a discretization of the unit circle consisting…
The antiferromagnetic XY model on the triangular lattice: topological singularities
Annika Bach, Marco Cicalese, Leonard Kreutz +1
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice in the vortex regime. Within this regime, the spin…
Emergence of concentration effects in the variational analysis of the -clock model
Marco Cicalese, Matthias Ruf, Gianluca Orlando
We investigate the relationship between the -clock model (also known as planar Potts model or -model) and the model (at zero temperature) through a -conver…
Coarse graining and large- behavior of the -dimensional -clock model
Marco Cicalese, Gianluca Orlando, Matthias Ruf
We study the asymptotic behavior of the -clock model, a nearest neighbors ferromagnetic spin model on the -dimensional cubic -lattice in which the spin field is…
The antiferromagnetic XY model on the triangular lattice: chirality transitions at the surface scaling
Annika Bach, Marco Cicalese, Leonard Kreutz +1
We study the discrete-to-continuum variational limit of the antiferromagnetic XY model on the two-dimensional triangular lattice. The system is fully frustrated and displays two fa…
A lower semicontinuity result for linearised elasto-plasticity coupled with damage in ,
Vito Crismale, Gianluca Orlando
We prove the lower semicontinuity of functionals of the form \[ \int \limits_Ω\! V(α) \, \mathrm{d} |\mathrm{E} u| \, , \] with respect to the weak converge of in ,…
Variational analysis of a two-dimensional frustrated spin system: emergence and rigidity of chirality transitions
Marco Cicalese, Marwin Forster, Gianluca Orlando
We study the discrete-to-continuum variational limit of the - spin model on the square lattice in the vicinity of the helimagnet/ferromagnet transition point as the l…
Fatigue effects in elastic materials with variational damage models: A vanishing viscosity approach
Roberto Alessi, Vito Crismale, Gianluca Orlando
We study the existence of quasistatic evolutions for a family of gradient damage models which take into account fatigue, that is the process of weakening in a material due to repea…
Cohesive fracture with irreversibility: quasistatic evolution for a model subject to fatigue
Vito Crismale, Giuliano Lazzaroni, Gianluca Orlando
In this paper we prove the existence of quasistatic evolutions for a cohesive fracture on a prescribed crack surface, in small-strain antiplane elasticity. The main feature of the…
A Reshetnyak-type lower semicontinuity result for linearised elasto-plasticity coupled with damage in
Vito Crismale, Gianluca Orlando
In this paper we prove a lower semicontinuity result of Reshetnyak type for a class of functionals which appear in models for small-strain elasto-plasticity coupled with damage. To…