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New Method for Solving Elasticity Problems of Some Planar Quasicrystals and Solutions |
LI Xian-fang;FAN Tian-you |
Research Centre of Materials Science, Beijing Institute of Technology, Beijing 100081 |
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Cite this article: |
LI Xian-fang, FAN Tian-you 1998 Chin. Phys. Lett. 15 278-280 |
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Abstract A new method for solving elasticity problems of some planar quasicrystals is presented. The set of partial differential equations for the phonon and phason displacement components is reduced to a single higher-order equation by introducing a displacement function. A general solution formulation is suggested. As an example, the elastic field caused by a dislocation in planar quasicrystals of point groups 5 m , 10, and 10mm is calculated.
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Keywords:
61.44.+p
61.72.Bb
62.20.-x
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Published: 01 April 1998
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