The importance of being curved: Bowing dislocations in a continuum description

A non-local dislocation-based constitutive law of plastic deformation on the mesoscale was proposed by applying the continuum theory of moving dislocations. The key features of the proposed approach are the refined averaging in the continuum theory based on separation of single-valued dislocation fields. The plastic shear reflects the shape of the expanding loops that does not change after 25 ns where the steady state has been reached and the computation has been stopped. The plastic strain is maximum in the centre of the channel, where the ellipses are relatively flat and the self-force per unit length is weak.