The twist disclination was studied by using elastoplastic defect theory. By using stress function methods, exact analytical solutions were found for all of the characteristic fields of a straight twist disclination in an infinitely extended linear isotropic medium. The elastic stress, elastic strain and displacement exhibited no singularities at the disclination line. Modified stress functions were found for the twist disclination, and the disclination density, effective Frank vector, disclination torsion and effective Burgers vector of a straight twist disclination were calculated. By using the gauge theory for defects, the elastic distortion was decomposed into translational and rotational gauge fields of a straight twist disclination.

Twist Disclination in the Field Theory of Elastoplasticity. M.Lazar: Journal of Physics - Condensed Matter, 2003, 15[40], 6781-800