Elastic theory of icosahedral quasicrystals - application to straight dislocations

Details Elastic theory of icosahedral quasicrystals - application to straight dislocations Elastic theory of icosahedral quasicrystals - application to straight dislocations

2001-11-21

arxiv.org/abs/cond-mat/0111395v1

Eur. Phys. J. B 23, 351 (2001)

Physics

Condensed Matter

Materials Science

13 pages, 11 figures

Scientific paper

10.1007/s100510170055

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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