  By means of linear theory of elastoplasticity, solutions are given for screw
and edge dislocations situated in an isotropic solid. The force stresses,
strain fields, displacements, distortions, dislocation densities and moment
stresses are calculated. The force stresses, strain fields, displacements and
distortions are devoid of singularities predicted by the classical elasticity.
Using the so-called stress function method we found modified stress functions
of screw and edge dislocations.
