Fig. 7

Stress field components of a distributed dislocation in peridynamics and comparison with gradient elasticity; Burgers vector points in x-direction and the glide plane trace corresponds to the x-axis, Burgers vector distribution given by Eq. (34) with horizon \(\delta _{\text {p}} =\) 3nm; left: \(\sigma _{xx}(x=0,y)\), middle: \(\sigma _{xy}(x,y=0)\), right: \(\textrm{Tr}\varvec{\sigma }(x=0,y)\); the open circles indicate virial stresses evaluated at the respective collocation points, the red line gives the matching solution evaluated using Helmholtz gradient elasticity, and the blue line the solution evaluated using (full) Mindlin gradient elasticity