An investigation was made of the interaction of defects, in 1-dimensional hexagonal quasi-crystals, by using complex variable function methods. The interaction force between 2 parallel dislocations was considered, and analytical solutions were obtained for the elastic fields of interactions between a dislocation and a crack. A version of the Peach-Koehler formula for a 1-dimensional hexagonal quasi-crystal was found.

On the Interaction between Dislocations and Cracks in One-Dimensional Hexagonal Quasi-Crystals. G.T.Liu, R.P.Guo, T.Y.Fan: Chinese Physics, 2003, 12[10], 1149-55