In this paper we provide a proof of the multiplicative kinematic description of crystal
elastoplasticity in the setting of large deformations, ie F= F e F p, for a two dimensional …

We study pattern formation within the $ J_1 $-$ J_3 $-spin model on a two-dimensional
square lattice in the case of incompatible (ferromagnetic) boundary conditions on the spin …

We propose and analyze a generalized two dimensional XY model, whose interaction
potential has n weighted wells, describing corresponding symmetries of the system. As the …

We present a variational theory for lattice defects of rotational and translational type. We
focus on finite systems of planar wedge disclinations, disclination dipoles, and edge …

We consider a nonlocal reaction-diffusion equation that physically arises from the classical
Peierls-Nabarro model for dislocations in crystalline structures. Our initial configuration …

In the recent trend of extending discrete-to-continuum limit passages for gradient flows of
single-species particle systems with singular and nonlocal interactions to particles of …

We consider a system of charged particles moving on the real line driven by electrostatic
interactions. Since we consider charges of both signs, collisions might occur in finite time …

This thesis studies discrete-to-continuum limits of models for interacting dislocations. This
analysis contributes to the ultimate goal of obtaining a system of equations which accurately …

We consider 2D discrete systems, described by scalar functions and governed by periodic
interaction potentials. We focus on anisotropic nearest neighbors interactions in the …

In Alicandro et al.(J Mech Phys Solids 92: 87–104, 2016) a simple discrete scheme for the
motion of screw dislocations toward low energy configurations has been proposed. There, a …