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Non-linear generalized elasticity of icosahedral quasicrystals

M. Ricker·H. -R. Trebin
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Abstract

Quasicrystals can carry, in addition to the classical phonon displacement field, a phason displacement field, which requires a generalized theory of elasticity. In this paper, the third-order strain invariants (including phason strain) of icosahedral quasicrystals are determined. They are connected with 20 independent third-order elastic constants. By means of non-linear elasticity, phason strains with icosahedral irreducible Gamma^4-symmetry can be obtained by phonon stress, which is impossible in linear elasticity.

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M. Ricker, H. -R. Trebin. 2002-09-17. Non-linear generalized elasticity of icosahedral quasicrystals. https://doi.org/10.1088/0305-4470%2F35%2F32%2F314

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