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arXiv · patt-sol/9903003

Disclination vortices in elastic media

M. Pudlak·V. A. Osipov
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Abstract

The vortex-like solutions are studied in the framework of the gauge model of disclinations 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 2πvortices where two characteristic lengths, l_ϕand l_W, become of importance. The asymptotical behaviour of the solutions for both singular and nonsingular 2πvortices is studied. Forces between pairs of vortices are calculated.

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M. Pudlak, V. A. Osipov. 2000-03-01. Disclination vortices in elastic media. https://doi.org/10.1088/0951-7715%2F13%2F2%2F307

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