Eur. Phys. J. B 23, 351-363 (2001)
https://doi.org/10.1007/s100510170055

Elastic theory of icosahedral quasicrystals -application to straight dislocations

Institut für Theoretische und Angewandte Physik, Universität Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany

Corresponding author: ^a mricker@itap.physik.uni-stuttgart.de

Received: 21 February 2001
Revised: 27 June 2001
Published online: 15 October 2001

Abstract

In quasicrystals, there are not only conventional, but also phason displacement fields and associated Burgers vectors. We have calculated approximate solutions for the elastic fields induced by two-, three- and fivefold straight screw- and edge-dislocations in infinite icosahedral quasicrystals by means of a generalized perturbation method. Starting from the solution for elastic isotropy in phonon and phason spaces, corrections of higher order reflect the two-, three- and fivefold symmetry of the elastic fields surrounding screw dislocations. The fields of special edge dislocations display characteristic symmetries also, which can be seen from the contributions of all orders.