Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function

Chin. Phys. Lett.

2006, Vol. 23

Issue (9): 2519-2521 DOI:

Original Articles

Final Governing Equation of Plane Elasticity of Icosahedral Quasicrystals and General Solution Based on Stress Potential Function

LI Lian-He^1,2;FAN Tian-You¹

¹Department of Physics, Beijing Institute of Technology, Beijing 100081 ²Department of Mathematics, Inner Mongolia Normal University, Huhhot 010022

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LI Lian-He, FAN Tian-You 2006 Chin. Phys. Lett. 23 2519-2521

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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.

Keywords: 61.44.Br 62.20.Dc 02.30.Em

Published: 01 September 2006

PACS:	61.44.Br	(Quasicrystals)
	62.20.Dc
	02.30.Em	(Potential theory)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y2006/V23/I9/02519

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