Generalized elasticity theory of quasicrystals.
Generalized elasticity theory of quasicrystals.
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DOI：
10.1103/physrevb.48.7003
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发表时间：
1993-09
期刊：
影响因子：
--
通讯作者：
D. Ding;Wenge Yang;Cheng-zheng Hu;Renhui Wang
中科院分区：
文献类型：
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作者：
D. Ding;Wenge Yang;Cheng-zheng Hu;Renhui Wang
描述三维和低维系统的经典弹性理论被推广到高维空间。准晶的弹性性质可以适当地从这个理论导出。实际应用是给五边形，八边形，十二边形和二十面体准晶。对于所有的弹性方程，包括虎克定律、平衡方程等，都得到了显式形式，在上述所有情况下。
The classical theory of elasticity describing three- and lower-dimensional systems is generalized to higher-dimensional spaces. The elastic properties of quasicrystals can be derived from this theory, appropriately. The practical application is given to pentagonal, octagonal, dodecagonal, and icosahedral quasicrystals. The explicit form is obtained for all elastic equations including Hooke's law, equilibrium equation, etc., in all the cases mentioned above.