Elastic theory of icosahedral quasicrystals - application to straight dislocations |
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Authors: | M Ricker J Bachteler H-R Trebin |
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Institution: | Institut für Theoretische und Angewandte Physik, Universit?t Stuttgart, Pfaffenwaldring 57, 70550 Stuttgart, Germany, DE
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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.
Received 21 February 2001 and Received in final form 27 June 2001 |
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Keywords: | PACS 61 44 Br Quasicrystals – 61 72 Lk Linear defects: dislocations disclinations – 62 20 Dc Elasticity elastic constants |
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