Open AccessThe plane strain theory for one-dimensional hexagonal quasicrystals in aperiodical plane
Author(s) -
Guanting Liu,
He Qing-Long,
Ran Guo
Publication year - 2009
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.58.118
Subject(s) - quasicrystal , plane (geometry) , aperiodic graph , perpendicular , degenerate energy levels , limit (mathematics) , phason , point (geometry) , condensed matter physics , hexagonal crystal system , physics , materials science , geometry , mathematical analysis , mathematics , quantum mechanics , crystallography , combinatorics , chemistry
Considering the plane elastic problem of one-dimensional hexagonal quasicrystals with point group 6mm, the theory about plane strain parallel to aperiodic direction is proposed and established. As an application of this theory, the analytic solutions of elastic fields of the quasicrystals with an elliptical cavity perpendicular to quasi-periodical direction are given in the form of general complex variable. In the limit case, our solutions degenerate into the ones of crack problems.