THE SECOND FUNDAMENTAL PROBLEM OF PERIODIC PLANE ELASTICITY OF A ONE-DIMENSIONAL HEXAGONAL QUASI CRYSTALS

Author(s):  
JIANG-YAN CUI ◽  
PENG-PENG SHI ◽  
XING LI
2011 ◽  
Vol 78 (3) ◽  
Author(s):  
Yang Gao ◽  
Andreas Ricoeur

For one-dimensional quasi-crystals, the refined theory of thick plates is explicitly established from the general solution of quasi-crystals and the Luré method without employing ad hoc stress or deformation assumptions. For a homogeneous plate, the exact equations and solutions are derived, which consist of three parts: the biharmonic part, the shear part, and the transcendental part. For a nonhomogeneous plate, the exact governing differential equations and solutions under pure normal loadings and pure shear loadings, respectively, are obtained directly from the refined plate theory. In an illustrative example, explicit expressions of analytical solutions are obtained for torsion of a rectangular quasi-crystal plate.


1989 ◽  
Vol 71 (9) ◽  
pp. 705-710 ◽  
Author(s):  
G. Van Tendeloo ◽  
C. Van Heurck ◽  
S. Amelinckx

2003 ◽  
Vol 12 (10) ◽  
pp. 1149-1155 ◽  
Author(s):  
Liu Guan-Ting ◽  
Guo Rui-Ping ◽  
Fan Tian-You

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