Disclination vortices in elastic media

The vortex-like solutions are studied in the framework of the gauge model of discli-nations in elastic continuum. A complete set of model equations with disclination driven dislocations taken into account is considered. Within the linear approximation an exact solution for a low-angle wedge disclination is found to be independent from the coupling constants of the theory. As a result, no additional dimensional characteristics (like the core radius of the defect) are involved. The situation changes drastically for 2π vortices, where two characteristic lengths, l φ and l W , become of importance. The asymptotical behaviour of the solutions for both singular and nonsingular 2π vortices is studied. Forces between pairs of vortices are calculated.