Symplectic approach for plane elasticity problems of two-dimensional octagonal quasicrystals

2021 ◽  
Vol 400 ◽  
pp. 126043
Author(s):  
Yanfen Qiao ◽  
Guolin Hou ◽  
Alatancang Chen
Keyword(s):  
Plane Elasticity ◽  
Two Dimensional ◽  
Elasticity Problems

A correspondence between plane elasticity and the two-dimensional real and complex dielectric equations in anisotropic media

1995 ◽  
Vol 450 (1939) ◽  
pp. 293-317 ◽  
Keyword(s):  
Composite Materials ◽  
Affine Transformation ◽  
Plane Elasticity ◽  
Elasticity Problem ◽  
Elastic Media ◽  
Two Dimensional ◽  
Dielectric Media ◽  
Elasticity Problems ◽  
Dielectric Tensors ◽  
Exact Relations

A correspondence between the two-dimensional complex dielectric equations and those of plane-strain elasticity is established. Specifically, homogeneous orthotropic dielectric media are shown to correspond to orthotropic elastic media, and by making an affine transformation of the elasticity problem, we obtain correspondences between orthotropic dielectric media and non-orthotropic elastic media. We also find a correspondence between the elasticity problem and a pair of dielectric problems in which the dielectric tensors are real. These correspondences are extended to certain classes of inhomogeneous media. Applied to composite materials, they imply exact relations between the effective tensors of associated dielectric and elasticity problems.

Solution of plane elasticity problems with Mathematica

1995 ◽  
Vol 55 (2) ◽  
pp. 229-236 ◽  
Author(s):  
N.I. Ioakimidis ◽  
G.T. Anastasselos
Keyword(s):  
Plane Elasticity ◽  
Elasticity Problems

scholarly journals An Analytical Method for Plane Elasticity Problems Involving Circular Boundaries

2021 ◽  
Vol 2002 (1) ◽  
pp. 012028
Author(s):  
Zhizhen Jiang ◽  
Rui Zhang ◽  
Shiyu Gong ◽  
Jiahui Hou ◽  
Xiaoqing Jin
Keyword(s):  
Analytical Method ◽  
Plane Elasticity ◽  
Elasticity Problems

Equivalent boundary integral equations with indirect variables for plane elasticity problems

2003 ◽  
Vol 24 (12) ◽  
pp. 1390-1397
Author(s):  
Zhang Yao-ming ◽  
Wen Wei-dong ◽  
Zhang Zuo-quan ◽  
Sun Huan-chun ◽  
Lü He-xiang
Keyword(s):  
Integral Equations ◽  
Boundary Integral Equations ◽  
Plane Elasticity ◽  
Boundary Integral ◽  
Equivalent Boundary ◽  
Elasticity Problems
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