It was noted that epitaxial systems with semi-coherent hetero-interfaces sometimes contained complex bi-periodic networks of misfit dislocations. Analytical solutions for the elastic fields of threefold-symmetry structures could be derived in the form of Fourier series, in which explicit constants took account of the detailed geometry of the misfit dislocation pattern. In principle, any complex planar pattern could be so treated. The material was considered to be elastically heterogeneous, with each medium having its own isotropic elastic constants.

Topographic Effect of the Misfit Dislocation Dissociation in Threefold Symmetry Epitaxial Systems. R.Bonnet: Philosophical Magazine A, 1999, 79[8], 1909-22