TY - JOUR
T1 - Confinement of dislocations inside a crystal with a prescribed external strain
Y1 - 2016
A1 - Ilaria Lucardesi
A1 - Marco Morandotti
A1 - Riccardo Scala
A1 - Davide Zucco
AB - 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.
UR - http://urania.sissa.it/xmlui/handle/1963/35247
N1 - Preprint SISSA 20/2016/MATE
U1 - 35558
U2 - Mathematics
ER -