Abstract

The Stroh formalism for two-dimensional deformations of the icosahedral quasicrystal is studied, for which there are six pairs of complex eigenvalues. The closed-form expressions for the elastic displacement and stress fields induced by a dislocation in an icosahedral quasicrystal are obtained using the extended Stroh formalism. The effect of phonon–phason coupling elastic constant on mechanical behavior are also discussed.

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