Study on a straight dislocation in an icosahedral quasicrystal with piezoelectric effects

被引:0
作者
Lianhe LI [1 ,2 ]
Guanting LIU [1 ]
机构
[1] College of Mathematics Science, Inner Mongolia Normal University
[2] Inner Mongolia Key Laboratory of Nanoscience and Nanotechnology, Inner Mongolia University
关键词
icosahedral quasicrystal; piezoelectric effect; Stroh formalism; dislocation;
D O I
暂无
中图分类号
O73 [晶体物理];
学科分类号
0702 ; 070205 ; 0703 ; 080501 ;
摘要
An electro-elastic analysis is performed on an icosahedral quasicrystal with piezoelectric effects containing a straight dislocation. The closed-form expressions for the elastic and electric fields are obtained using the extended Stroh formalism. The effects of piezoelectric constant on the phonon displacement, phason displacement, and electric potential are discussed in detail.
引用
收藏
页码:1259 / 1266
页数:8
相关论文
共 19 条
[1]  
General solutions of plane problem in one-dimensional quasicrystal piezoelectric materials and its application on fracture mechanics[J]. Jing YU,Junhong GUO,Ernian PAN,Yongming XING.Applied Mathematics and Mechanics(English Edition). 2015(06)
[2]  
Analytic solutions of problem about a circular hole with a straight crack in one-dimensional hexagonal quasicrystals with piezoelectric effects[J] . J. Yang,X. Li.Theoretical and Applied Fracture Mechanics . 2016
[3]  
Complex variable method for an anti-plane elliptical cavity of one-dimensional hexagonal piezoelectric quasicrystals[J] . Jing Yu,Junhong Guo,Yongming Xing.Chinese Journal of Aeronautics . 2015 (4)
[4]  
An antiplane shear crack moving in one-dimensional hexagonal quasicrystals[J] . G.E. Tupholme.International Journal of Solids and Structures . 2015
[5]   Three-dimensional fundamental solutions for one-dimensional hexagonal quasicrystal with piezoelectric effect [J].
Li, X. Y. ;
Li, P. D. ;
Wu, T. H. ;
Shi, M. X. ;
Zhu, Z. W. .
PHYSICS LETTERS A, 2014, 378 (10) :826-834
[6]   General solutions of plane elasticity of one-dimensional orthorhombic quasicrystals with piezoelectric effect [J].
Zhang, Liangliang ;
Zhang, Yiming ;
Gao, Yang .
PHYSICS LETTERS A, 2014, 378 (37) :2768-2776
[7]   Bending analyses of 1D orthorhombic quasicrystal plates [J].
Sladek, J. ;
Sladek, V. ;
Pan, E. .
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2013, 50 (24) :3975-3983
[8]  
On the fundamental equations of piezoelasticity of quasicrystal media[J] . International Journal of Solids and Structures . 2012 (23-2)
[9]   Exact solutions of the generalized Dugdale model of two-dimensional decagonal quasicrystals [J].
Li, Wu ;
Fan, Tianyou .
APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (07) :3068-3071
[10]   Collinear periodic cracks and/or rigid line inclusions of antiplane sliding mode in one-dimensional hexagonal quasicrystal [J].
Shi Weichen .
APPLIED MATHEMATICS AND COMPUTATION, 2009, 215 (03) :1062-1067