Please wait a minute...
Acta Physica Sinica (Overseas Edition), 1999, Vol. 8(4): 288-295    DOI: 10.1088/1004-423X/8/4/007
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

A MOVING SCREW DISLOCATION IN A ONE-DIMENSIONAL HEXAGONAL QUASICRYSTAL

Fan Tian-you (范天佑), Li Xian-fang (李显方), Sun Ying-fei (孙应飞)
Research Centre of Materials Science, Beijing Institute of Technology, Beijing 100081, China
Abstract  This paper extends a moving screw dislocation theory in a conventional crystal to a one-dimensional hexagonal quasicrystal in the framework of the Landau theory. By introducing two functions $\varphi$ and $\psi$ which satisfy wave equations, respectively, a general solution is suggested in terms of $\varphi$ and $\psi$. The analytical expressions for displacement and stress fields induced by a moving screw dislocation as well as the energy are found. The results obtained here when imposing the condition that the phason fields is absent reduce to those for a moving screw dislocation in a crystal.
Received:  29 September 1998      Revised:  14 January 1999      Accepted manuscript online: 
PACS:  61.44.Br (Quasicrystals)  
  61.72.Hh (Indirect evidence of dislocations and other defects (resistivity, slip, creep, strains, internal friction, EPR, NMR, etc.))  
  62.20.D- (Elasticity)  
  81.40.Jj (Elasticity and anelasticity, stress-strain relations)  
Fund: Project supported by the Doctoral Program Foundation of Institution of Higher Education of China.

Cite this article: 

Fan Tian-you (范天佑), Li Xian-fang (李显方), Sun Ying-fei (孙应飞) A MOVING SCREW DISLOCATION IN A ONE-DIMENSIONAL HEXAGONAL QUASICRYSTAL 1999 Acta Physica Sinica (Overseas Edition) 8 288

[1] Substitutions of vertex configuration of Ammann-Beenker tiling in framework of Ammann lines
Jia-Rong Ye(叶家容), Wei-Shen Huang(黄伟深), and Xiu-Jun Fu(傅秀军). Chin. Phys. B, 2022, 31(8): 086101.
[2] Bose-Einstein condensates in an eightfold symmetric optical lattice
Zhen-Xia Niu(牛真霞), Yong-Hang Tai(邰永航), Jun-Sheng Shi(石俊生), Wei Zhang(张威). Chin. Phys. B, 2020, 29(5): 056103.
[3] The entanglement of deterministic aperiodic quantum walks
Ting-Ting Liu(刘婷婷), Ya-Yun Hu(胡亚运), Jing Zhao(赵静), Ming Zhong(钟鸣), Pei-Qing Tong(童培庆). Chin. Phys. B, 2018, 27(12): 120305.
[4] Diurnal cooling for continuous thermal sources under direct subtropical sunlight produced by quasi-Cantor structure
Jia-Ye Wu(吴嘉野), Yuan-Zhi Gong(龚远志), Pei-Ran Huang(黄培然), Gen-Jun Ma(马根骏), Qiao-Feng Dai(戴峭峰). Chin. Phys. B, 2017, 26(10): 104201.
[5] Band structures of elastic waves in two-dimensional eight-fold solid-solid quasi-periodic phononic crystals
Chen A-Li (陈阿丽), Liang Tong-Li (梁同利), Wang Yue-Sheng (汪越胜). Chin. Phys. B, 2015, 24(6): 066101.
[6] Anti-plane problem analysis for icosahedral quasicrystals under shear loadings
Li Wu (李梧), Chai Yu-Zhen (柴玉珍). Chin. Phys. B, 2014, 23(11): 116201.
[7] Elastic fields around a nanosized elliptichole in decagonal quasicrystals
Li Lian-He (李联和), Yun Guo-Hong (云国宏). Chin. Phys. B, 2014, 23(10): 106104.
[8] Finite size specimens with cracks of icosahedral Al–Pd–Mn quasicrystals
Yang Lian-Zhi (杨连枝), Ricoeur Andreas, He Fan-Min (何蕃民), Gao Yang (高阳). Chin. Phys. B, 2014, 23(5): 056102.
[9] Icosahedral quasicrystals solids with an elliptic hole under uniform heat flow
Li Lian-He (李联和), Liu Guan-Ting (刘官厅). Chin. Phys. B, 2014, 23(5): 056101.
[10] Generalized 2D problem of icosahedral quasicrystals containing an elliptic hole
Li Lian-He (李联和). Chin. Phys. B, 2013, 22(11): 116101.
[11] A Dugdale–Barenblatt model for a strip with a semi-infinite crack embedded in decagonal quasicrystals
Li Wu (李梧), Xie Ling-Yun (解凌云). Chin. Phys. B, 2013, 22(3): 036201.
[12] Elliptic hole in octagonal quasicrystals
Li Lian-He (李联和). Chin. Phys. B, 2013, 22(1): 016102.
[13] A unified charge-based model for SOI MOSFETs applicable from intrinsic to heavily doped channel
Zhang Jian(张健), He Jin(何进), Zhou Xing-Ye(周幸叶), Zhang Li-Ning(张立宁), Ma Yu-Tao(马玉涛), Chen Qin(陈沁), Zhang Xu-Kai(张勖凯), Yang Zhang(杨张), Wang Rui-Fei(王睿斐), HanYu(韩雨), and Chan Mansun(陈文新) . Chin. Phys. B, 2012, 21(4): 047303.
[14] Analytic solutions to a finite width strip with a single edge crack of two-dimensional quasicrystals
Li Wu(李梧) . Chin. Phys. B, 2011, 20(11): 116201.
[15] An improvement to computational efficiency of the drain current model for double-gate MOSFET
Zhou Xing-Ye(周幸叶), Zhang Jian(张健), Zhou Zhi-Ze(周致赜), Zhang Li-Ning(张立宁), Ma Chen-Yue(马晨月), Wu Wen(吴文), Zhao Wei(赵巍), and Zhang Xing(张兴) . Chin. Phys. B, 2011, 20(9): 097304.
No Suggested Reading articles found!