Non-linear generalized elasticity of icosahedral quasicrystals

Details Non-linear generalized elasticity of icosahedral quasicrystals Non-linear generalized elasticity of icosahedral quasicrystals

2002-09-17

arxiv.org/abs/cond-mat/0209401v1

J. Phys. A 35, 6953 (2002)

Physics

Condensed Matter

Materials Science

10 pages

Scientific paper

10.1088/0305-4470/35/32/314

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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