  A (microscopic) static elastoplastic field theory of dislocations with moment
and force stresses is considered. The relationship between the moment stress
and the Nye tensor is used for the dislocation Lagrangian. We discuss the
stress field of an infinitely long screw dislocation in a cylinder, a dipole of
screw dislocations and a coaxial screw dislocation in a finite cylinder. The
stress fields have no singularities in the dislocation core and they are
modified in the core due to the presence of localized moment stress.
Additionally, we calculated the elastoplastic energies for the screw
dislocation in a cylinder and the coaxial screw dislocation. For the coaxial
screw dislocation we find a modified formula for the so-called Eshelby twist
which depends on a specific intrinsic material length.
