  T(3)-gauge model of defects based on the gauge Lagrangian quadratic in the
gauge field strength is considered. The equilibrium equation of the medium is
fulfilled by the double curl Kroner's ansatz for stresses. The problem of
replication of the static edge dislocation along third axis is analysed under a
special, though conventional, choice of this ansatz. The translational gauge
equation is shown to constraint the functions parametrizing the ansatz (the
stress functions) so that the resulting stress component $\sigma_{3 3}$ is not
that of the edge defect. Another translational gauge equation with the double
curl differential operator is shown to reproduce both the stress functions, as
well as the stress tensors, of the standard edge and screw dislocations.
Non-linear extension of the newly proposed translational gauge equation is
given to correct the linear defect solutions in next orders. New gauge
Lagrangian is suggested in the Hilbert-Einstein form.
