Closed-Form, Axisymmetric Solution of the von Karman Plate Equations for Poisson’s Ratio One-Third

1983 ◽  
Vol 50 (4a) ◽  
pp. 897-898 ◽  
Author(s):  
J. G. Simmonds
Keyword(s):  
Closed Form ◽  
Poisson’S Ratio ◽  
Poisson's Ratio ◽  
Axisymmetric Solution ◽  
Von Karman ◽  
Plate Equations ◽  
Von Kármán Plate ◽  
Von Kármán

On the Range of Applicability of von Karman Plate Equations

1989 ◽  
Vol 56 (3) ◽  
pp. 724-726 ◽  
Author(s):  
You-He Zhou ◽  
Xiao-Jing Zheng
Keyword(s):  
Von Karman ◽  
Plate Equations ◽  
Von Kármán Plate ◽  
Von Kármán

scholarly journals Conservative numerical methods for the Full von Kármán plate equations

2015 ◽  
Vol 31 (6) ◽  
pp. 1948-1970 ◽  
Author(s):  
Stefan Bilbao ◽  
Olivier Thomas ◽  
Cyril Touzé ◽  
Michele Ducceschi
Keyword(s):  
Numerical Methods ◽  
Von Karman ◽  
Plate Equations ◽  
Von Kármán Plate ◽  
Von Kármán

On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity

2016 ◽  
Vol 15 (01) ◽  
pp. 1-49 ◽  
Author(s):  
Igor Velčić
Keyword(s):  
Nonlinear Elasticity ◽  
Three Dimensional ◽  
Von Karman ◽  
Elasticity Equations ◽  
Plate Equations ◽  
Von Kármán Plate ◽  
Von Kármán ◽  
Three Dimensional Elasticity

Starting from three-dimensional elasticity equations we derive the model of the homogenized von Kármán plate by means of [Formula: see text]-convergence. This generalizes the recent results, where the material oscillations were assumed to be periodic.

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