An approach to the elastic field of a hybrid dislocation

ABSTRACT

The transfer of plastic sliding through a crystalline interface involves at least a dislocation having a branch in each crystal. The elastic field associated with this elemental configuration has been processed in the past by Belov et al. (1983 A.Y.Belov, A.Chamrov, V.L.Indenbom and J.Lothe , Elastic fields of dislocations piercing the interface of an anisotropic bicrystal , Phys. Stat. Sol. (B) 119 (1983), pp. 565–578. Available at https://doi.org/10.1002/pssb.2221190216 .[Crossref] , [Google Scholar], 1992) but has never been verified or used, to the author’s knowledge. With typographical corrections and various verifications, the results obtained in this work confirm the validity of the theory for isotropic and/or anisotropic crystals. A general explicit solution to the elastic field is derived in the case of two different isotropic crystals. The theory fails when one branch is along the interface while the other lies in a crystal (hybrid dislocation). On the other hand, if a branch is very little inclined relative to the interface (quasi-hybrid dislocation), the theory applies fully. In this context, the combination of two quasi-hybrid dislocations solves in practice the problem of the triple node anchored to the interface.