Fig. 1

Schematic of a single edge dislocation with slip plane normal vector n. The origin of the coordinates is centred in the considered domain and the grey area indicates the domain where the plastic distortion is provided by the gradient theory solution; to match peridynamics and Helmholtz type gradient elasticity, the horizon \(\delta _{\text {p}}\) must be taken proportional to the length scale parameter \(l_{\text {H}}\) of the gradient theory