On dynamic plane elasticity problems of 2D quasicrystals

被引:14
作者
Akmaz, Hakan K. [1 ]
Akinci, Uemit [2 ]
机构
[1] Gaziosmanpasa Univ, Fac Arts & Sci, Dept Math, TR-60250 Tokat, Turkey
[2] Dokuz Eylul Univ, Fac Arts & Sci, Dept Phys, Izmir, Turkey
关键词
Dynamic plane elasticity; Green's function; 2D quasicrystals; DISLOCATIONS; SYMMETRY; EQUATION;
D O I
10.1016/j.physleta.2009.03.065
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this Letter, the dynamic plane elasticity problems of 2D quasicrystals is considered. By use of the Fourier transform and matrix transformations the system is reduced to uncoupled ordinary differential equations. Fourier images of Green's functions for dynamic plane elasticity problems of 2D dodecagonal, pentagonal and decagonal quasicrystals are obtained explicitly by the suggested method. (C) 2009 Elsevier B.V. All rights reserved.
引用
收藏
页码:1901 / 1905
页数:5
相关论文
共 17 条
[1]   On three-dimensional elastic problems of one-dimensional hexagonal quasicrystal bodies [J].
Chen, WQ ;
Ma, YL ;
Ding, HJ .
MECHANICS RESEARCH COMMUNICATIONS, 2004, 31 (06) :633-641
[2]   GENERAL EXPRESSIONS FOR THE ELASTIC DISPLACEMENT-FIELDS INDUCED BY DISLOCATIONS IN QUASI-CRYSTALS [J].
DING, DH ;
WANG, RH ;
YANG, WG ;
HU, CZ .
JOURNAL OF PHYSICS-CONDENSED MATTER, 1995, 7 (28) :5423-5436
[3]   GENERALIZED ELASTICITY THEORY OF QUASI-CRYSTALS [J].
DING, DH ;
YANG, WG ;
HU, CZ ;
WANG, RH .
PHYSICAL REVIEW B, 1993, 48 (10) :7003-7010
[4]  
Fan T.-Y., 2004, Applied Mechanics Review, V57, P325, DOI 10.1115/1.1763591
[5]   The final governing equation and fundamental solution of plane elasticity of icosahedral quasicrystals [J].
Fan, TY ;
Guo, LH .
PHYSICS LETTERS A, 2005, 341 (1-4) :235-239
[6]   The partition function and state equation of the point group 12mm two-dimensional dodecagonal quasicrystal [J].
Fan, TY ;
Mai, YW .
EUROPEAN PHYSICAL JOURNAL B, 2003, 31 (01) :25-27
[7]   Point groups and elastic properties of two-dimensional quasicrystals [J].
Hu, CZ ;
Wang, RH ;
Yang, WG ;
Ding, DH .
ACTA CRYSTALLOGRAPHICA SECTION A, 1996, 52 :251-256
[8]   ELASTICITY AND DISLOCATIONS IN PENTAGONAL AND ICOSAHEDRAL QUASICRYSTALS [J].
LEVINE, D ;
LUBENSKY, TC ;
OSTLUND, S ;
RAMASWAMY, S ;
STEINHARDT, PJ ;
TONER, J .
PHYSICAL REVIEW LETTERS, 1985, 54 (14) :1520-1523
[9]   Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals [J].
Liu, GT ;
Fan, TY ;
Guo, RP .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2004, 41 (14) :3949-3959
[10]   Displacement function and simplifying of plane elasticity problems of two-dimensional quasicrystals with noncrystal rotational symmetry [J].
Liu, GT ;
Fan, TY ;
Guo, RP .
MECHANICS RESEARCH COMMUNICATIONS, 2003, 30 (04) :335-344