In this paper we derive a line tension model for dislocations in 3D starting from a
geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as …

Anti-plane shear deformations of a hexagonal quasi-crystal with multiple screw dislocations
are considered. Using a variational formulation, the elastic equilibrium is characterized via …

In this paper, the dynamics of a system of a finite number of screw dislocations is studied.
Under the assumption of antiplane linear elasticity, the two-dimensional dynamics is …

To account for material slips at microscopic scale, we take deformation mappings as SBV
functions φ, which are orientation-preserving outside a jump set taken to be two-dimensional …

Calculus of Variations — Upscaling of screw dislocations with increasing tangen- tial strain, by
Ilaria Lucardesi, Marco Moran Page 1 Rend. Lincei Mat. Appl. 31 (2020), 421–445 DOI …

We study the optimal partitioning of a (possibly unbounded) interval of the real line into n
subintervals in order to minimize the maximum of certain set-functions, under rather general …

In this paper we derive a line tension model for dislocations in 3d starting from a
geometrically nonlinear elastic energy with quadratic growth. In the asymptotic analysis, as …

The thesis is devoted to the study of the elastic behavior of solid crystals in the presence of
dislocation defects by a variational point of view. In the first part we consider a Geometrically …

A system of n screw dislocations in an isotropic crystal undergoing antiplane shear is
studied in the framework of linear elasticity. Imposing a suitable boundary condition for the …

This note collects some results on the behaviour of screw dislocation in an elastic medium.
By using a semi-discrete model, we are able to investigate two specific aspects of the …