Elastic theory of icosahedral quasicrystals - application to straight dislocations
Elastic theory of icosahedral quasicrystals - application to straight dislocations
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DOI：
10.1007/s100510170055
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发表时间：
2001-10
期刊：
影响因子：
--
通讯作者：
M. Ricker;J. Bachteler;H. Trebin
中科院分区：
文献类型：
--
作者：
M. Ricker;J. Bachteler;H. Trebin
在准晶中，不仅有常规的，而且还有相子位移场和相关的伯格斯矢量。本文用广义微扰法计算了无限大二十面体准晶中二重、三重和五重直螺位错和刃位错引起的弹性场的近似解。从声子和相子空间的弹性各向同性解出发，高阶修正反映了螺位错周围弹性场的二、三和五重对称性。特殊刃型位错的场也表现出特征对称性，这一点可以从各阶位错的贡献中看出。
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.