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.
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Received 21 February 2001 and Received in final form 27 June 2001
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Ricker, M., Bachteler, J. & Trebin, HR. Elastic theory of icosahedral quasicrystals - application to straight dislocations. Eur. Phys. J. B 23, 351–363 (2001). https://doi.org/10.1007/s100510170055
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DOI: https://doi.org/10.1007/s100510170055