Non-linear generalized elasticity of icosahedral quasicrystals
Materials Science
2009-11-07 v1
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.
Cite
@article{arxiv.cond-mat/0209401,
title = {Non-linear generalized elasticity of icosahedral quasicrystals},
author = {M. Ricker and H. -R. Trebin},
journal= {arXiv preprint arXiv:cond-mat/0209401},
year = {2009}
}
Comments
10 pages