@article {2016,
	title = {Confinement of dislocations inside a crystal with a prescribed external strain},
	year = {2016},
	note = {Preprint SISSA 20/2016/MATE},
	abstract = {We study screw dislocations in an isotropic crystal undergoing antiplane shear.
In the framework of linear elasticity, by fixing a suitable boundary condition for the strain
(prescribed non-vanishing boundary integral), we manage to confine the dislocations inside the material. More precisely, in the presence of an external strain with circulation equal to n times the lattice spacing, it is energetically convenient to have n distinct dislocations lying inside the crystal. The novelty of introducing a Dirichlet boundary condition for the tangential strain is crucial to the confinement: it is well known that, if Neumann boundary conditions are imposed, the dislocations tend to migrate to the boundary. The results are achieved using PDE techniques and Ƭ-convergence theory, in the framework of the so-called core radius approach.},
	url = {http://urania.sissa.it/xmlui/handle/1963/35247},
	author = {Ilaria Lucardesi and Marco Morandotti and Riccardo Scala and Davide Zucco}
}
