Stroh formalism for icosahedral quasicrystal and its application

被引:40
|
作者
Li, Lian He [1 ]
Liu, Guan Ting [1 ]
机构
[1] Inner Mongolia Normal Univ, Coll Math Sci, Hohhot 010022, Peoples R China
基金
中国国家自然科学基金;
关键词
Icosahedral quasicrystal; Plane elasticity; Stroh formalism; Dislocation; ANISOTROPIC ELASTICITY; DISLOCATIONS; SYMMETRY; ALLOYS; CRACKS; ORDER;
D O I
10.1016/j.physleta.2012.01.027
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
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. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:987 / 990
页数:4
相关论文
共 50 条
  • [1] The application of the Stroh formalism to prestressed elastic media
    Chadwick, P
    MATHEMATICS AND MECHANICS OF SOLIDS, 1997, 2 (04) : 379 - 403
  • [2] Epitaxial growth of a metastable icosahedral quasicrystal on a stable icosahedral quasicrystal substrate
    Leskovar, Blaz
    Sturm, Saso
    Samardzija, Zoran
    Ambrozic, Bojan
    Markoli, Bostjan
    Naglic, Iztok
    SCRIPTA MATERIALIA, 2018, 150 : 92 - 95
  • [3] Stroh formalism and Rayleigh waves
    Tanuma, Kazumi
    JOURNAL OF ELASTICITY, 2007, 89 (1-3) : 5 - +
  • [4] Stroh Formalism and Rayleigh Waves
    Kazumi Tanuma
    Journal of Elasticity, 2007, 89 : 5 - 154
  • [5] Stroh formalism and its extensions to coupled inplane-bending problems
    Hwu, CB
    CHINESE JOURNAL OF MECHANICS-SERIES A, 2003, 19 (01): : 41 - 53
  • [6] Symmetrical representation of stresses in the Stroh formalism and its application to a dislocation and a dislocation dipole in an anisotropic elastic medium
    Mantic, V
    Paris, F
    JOURNAL OF ELASTICITY, 1997, 47 (02) : 101 - 120
  • [7] Symmetrical Representation of Stresses in the Stroh Formalism and its Application to a Dislocation and a Dislocation Dipole in an Anissotropic Elastic Medium
    V. Mantič
    F. París
    Journal of Elasticity, 1997, 47 : 101 - 120
  • [8] Computational prediction of an icosahedral quasicrystal
    Engel, M.
    Damasceno, P.
    Phillips, C.
    Glotzer, S.
    ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2014, 70 : C890 - C890
  • [9] An Icosahedral Quasicrystal as a golden modification of the icosagrid and its connection to the ES lattice
    Fang, Fang
    ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES, 2015, 71 : S417 - S417
  • [10] Hamiltonian interpretation of the Stroh formalism in anisotropic elasticity
    Fu, Y. B.
    PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, 2007, 463 (2088): : 3073 - 3087