Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function
LI Lian-He1,2 , FAN Tian-You1
1 Department of Physics, Beijing Institute of Technology, Beijing 100081
2 Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022
Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function
LI Lian-He1,2 ;FAN Tian-You1
1 Department of Physics, Beijing Institute of Technology, Beijing 100081
2 Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022
关键词 ：
61.44.Br ,
62.20.Dc ,
02.30.Em
Abstract ： The stress potential function theory for plane elasticity of icosahedral quasicrystals is developed. By introducing stress functions, huge numbers of basic equations involving elasticity of icosahedral quasicrystals are reduced to a single partial differential equation of the 12th order. The general solution of the equation is expressed by 6 analytic functions of complex variable z=x+iy.
Key words ：
61.44.Br
62.20.Dc
02.30.Em
出版日期: 2006-09-01
引用本文:
LI Lian-He;FAN Tian-You. Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function[J]. 中国物理快报, 2006, 23(9): 2519-2521.
链接本文:
https://cpl.iphy.ac.cn/CN/
或
https://cpl.iphy.ac.cn/CN/Y2006/V23/I9/2519
[1]
LI Xiao-Feng;CHEN Xiang-Rong;JI Guang-Fu;MENG Chuan-Min. Ab Initio Calculations of Elastic Constants of Li2 O under Pressure
[2]
GAO Ning;LAI Wen-Sheng. Calculation of Elastic Constants of Ag/Pd Superlattice Thin Films by Molecular Dynamics with Many-Body Potentials
[3]
XIAO Xing-Hong;ZHU Jun;CHEN Xiang-Rong;YANG Wei-Qing. Elastic Constants of NaCl under Pressure via First-Principles Calculations
[4]
TAN Chang-Long;CAI Wei;ZHU Jing-Chuan. First-Principles Study on Elastic Properties and Electronic Structures of Ti-Based Binary and Ternary Shape Memory Alloys
[5]
GUO Hua-Zhong;CHEN Xiang-Rong;ZHU Jun;CAI Ling-Cang;GAO Jie. First-Principles Calculations of Elastic Constants of Superconducting MgB2
[6]
ZHANG Yong-Gang;JIANG Xun-Ya;ZHU Cheng;GU Yi;LI Ai-Zhen;QI Ming;FENG Song-Lin. Growth and Characterization of GaAs/AlGaAs Thue--Morse Quasicrystal Photonic Bandgap Structures
[7]
WANG Bao-Lin;;ZHAO Ji-Jun;SHI Da-Ning;JIA Jian-Min;WANG Guang-Hou. Electronic and Elastic Properties of Helical Nickel Nanowires
[8]
LI Gong;ZHANG Xin-Yu;SUN Yi-Nan;QIAN Yu-Qing;LIU Jing;LIU Ri-Ping. Compression Behaviour of Ni77 P23 Amorphous Alloy up to 30.5GPa
[9]
LI Gong;ZHAN Zai-Ji;WANG Li-Min;SUN Li-Ling;LIU Jing;WANG Wen-Kui;. Compression Behaviour and Equation of State of Zr44.4 Nb7 Cu13.5 Ni10.8 Be24.3 Bulk Metallic Glass up to 39 GPa
[10]
WANG Tao;DAI Yong-Bing;OUYANG Si-Ke;WU Jian-Sheng;SHEN He-Sheng. Ab Initio Calculation of Vacancies and Interstitials in NiS2
[11]
ZHOU Xiang;HU Cheng-Zheng;GONG Ping;ZHU Jia-Kun. Linear and Nonlinear Optical Properties of Quasicrystals
[12]
WANG Xiao-Dong;QI Min;DONG Chuang;. Bergman Clusters Related to Bulk Amorphous Alloys and Quasi-crystals
[13]
XIANG Shi-Kai;CAI Ling-Cang;ZHANG Lin;JING Fu-Qian;. A Calculation Approach to Elastic Constants of Crystallines
at High Pressure and Finite Temperature
[14]
ZHENG Mao-Sheng;ZHOU Gen-Shu;ZHAO Wen-Zhen;GU Hai-Cheng. Influence of Combination of Casimir Force and Residual Stress on the Behaviour of Micro- and Nano-Electromechanical Systems
[15]
HOU Zhi-Lin;FU Xiu-Jun;LIU You-Yan. Electronic Transmission Properties of Two-Dimensional Quasi-lattice
2006, Vol. 23 
