A theoretical model was suggested which describes a new type of topological defect in condensed matter, namely the hyper-dislocations in networks of misfit dislocations at film/substrate interfaces. Formulae for elastic characteristics of misfit dislocation networks with hyper-dislocations, such as elastic moduli and the hyper-dislocation energy, were found. With these formulae, the anisotropy of the misfit dislocationetworks and the dependence of the hyper-dislocation energy on the film thickness were analyzed.

Hyperdislocations in Misfit Dislocation Networks in Solid Films. I.A.Ovidko, A.G.Sheinerman: Journal of Physics - Condensed Matter, 2003, 15[12], 2127-35