The elastic field which was produced by a straight dislocation, in a one-dimensional hexagonal quasi-crystal, with its line parallel to the quasi-periodic axis was determined by superposition of the elastic fields of a pure edge component and a pure screw component. By extending the Peach-Koehler force to quasicrystals, the force between 2 parallel screw dislocations was obtained. The elastic field and the image force on a screw dislocation in a quasi-crystal of general cross-section were determined by using the conformal mapping method.

A Straight Dislocation in One-Dimensional Hexagonal Quasicrystals. X.Li, T.Fan: Physica Status Solidi B, 1999, 212[1], 19-26