(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Dipierro, Serena; Palatucci, Giampiero; Valdinoci, Enrico
We consider an evolution equation arising in the PeierlsNabarro model
for crystal dislocation. We study the evolution of such dislocation function
and show that, at a macroscopic scale, the dislocations have the tendency to
concentrate at single points of the crystal, where the size of the slip
coincides with the natural periodicity of the medium. these dislocation
points evolve according to the external stress and an interior repulsive
potential.
