scholarly journals Shear Locking in a Plane Elasticity Problem and the Enhanced Assumed Strain Method

2010 ◽  
Vol 47 (6) ◽  
pp. 4473-4491 ◽  
Author(s):  
Dietrich Braess ◽  
Pingbing Ming ◽  
Zhong-ci Shi
Keyword(s):  
Plane Elasticity ◽  
Elasticity Problem ◽  
Shear Locking ◽  
Enhanced Assumed Strain ◽  
Assumed Strain ◽  
Assumed Strain Method ◽  
Plane Elasticity Problem ◽  
Strain Method

scholarly journals On Symplectic Analysis for the Plane Elasticity Problem of Quasicrystals with Point Group 12 mm

2014 ◽  
Vol 2014 ◽  
pp. 1-7
Author(s):  
Hua Wang ◽  
Jianrui Chen ◽  
Xiaoyu Zhang
Keyword(s):  
Mixed Boundary ◽  
Separation Of Variables ◽  
Point Group ◽  
Mixed Boundary Conditions ◽  
Hamiltonian Operator ◽  
Plane Elasticity ◽  
Elasticity Problem ◽  
Operator Matrices ◽  
Group 12 ◽  
Plane Elasticity Problem

The symplectic approach, the separation of variables based on Hamiltonian systems, for the plane elasticity problem of quasicrystals with point group 12 mm is developed. By introducing appropriate transformations, the basic equations of the problem are converted to two independent Hamiltonian dual equations, and the associated Hamiltonian operator matrices are obtained. The study of the operator matrices shows the feasibility of the method. Without any assumptions, the general solution is presented for the problem with mixed boundary conditions.

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