Disclination vortices in elastic media

The vortex-like solutions are studied within the framework of the gauge mod el of disclinations in an elastic continuum. A complete set of model equati ons with disclination-driven dislocations taken into account is considered. Within the linear approximation an exact solution for a low-angle wedge di sclination is found to be independent of the coupling constants of the theo ry. As a result, no additional dimensional characteristics (such as the cor e radius of the defect) are involved. The situation changes drastically for 2 pi vortices, where two characteristic lengths, l(phi) and l(W) become of importance. The asymptotic behaviour of the solutions for both singular an d non-singular 2 pi vortices is studied. Forces between pairs of vortices a re calculated. AMS classification scheme numbers: 35Q72, 73C50, 81T13.