Stroh formalism for icosahedral quasicrystal and its application

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.

► The Stroh formalism for the icosahedral quasicrystal is given.
► The expressions for the elastic fields induced by a dislocation are obtained.
► The phonon–phason coupling effect on the displacements is negligible.