The state of stress of a solid solution in the form of a film of finite thickness was analyzed in the isotropic approximation. It was shown that, if spatial redistribution of the components of the solid solution in order to achieve thermodynamic equilibrium was assumed, the resultant new stressed state could be described by elasticity theory, using renormalized elastic moduli. It was noted that the formation of misfit dislocations in solid solutions occurred more easily than in bulk materials. The planar elasticity problem, of the formation energy of a misfit dislocation in a film of finite thickness, was solved for Frenkel-Kontorova boundary conditions. The boundary atoms were situated in a cosine potential that was generated by the substrate. The formation energy of a misfit dislocation was calculated. Situations were identified in which the sign of the static Poisson ratio became negative, and dislocations were formed which for an arbitrarily small mismatch of the film and substrate periods.

Formation of a Misfit Dislocation at the Interface of a Substrate and a Solid-Solution Film of Finite Thickness. N.V.Fomin, D.V.Shantsev: Fizika Tverdogo Tela, 1996, 38[1], 76-88 (Physics of the Solid State, 1996, 38[1], 41-7)