Nonlinear theory of multilayer sandwich shells and its application (III)—large deflection and postbuckling of shallow shells

1997 ◽  
Vol 18 (4) ◽  
pp. 321-329
Author(s):  
Wu Jiancheng ◽  
Pan Lizhou
Keyword(s):  
Nonlinear Theory ◽  
Large Deflection ◽  
Shallow Shells ◽  
Sandwich Shells

Finite element large deflection analysis of shallow shells

1976 ◽  
Vol 10 (1) ◽  
pp. 39-58 ◽  
Author(s):  
Jean Louis Batoz ◽  
Arup Chattopadhyay ◽  
Gurbachan Dhatt
Keyword(s):  
Finite Element ◽  
Large Deflection ◽  
Shallow Shells ◽  
Deflection Analysis

Stability of Doubly Periodic Deformed Configurations of Plates and Shallow Shells

1970 ◽  
Vol 37 (3) ◽  
pp. 641-650 ◽  
Author(s):  
C. S. Hsu ◽  
S. S. Lee
Keyword(s):  
Stability Analysis ◽  
Nonlinear Analysis ◽  
Large Deflection ◽  
Multiple Equilibrium ◽  
Jump Phenomenon ◽  
Periodic Surface ◽  
Shallow Shells ◽  
Equilibrium Configurations

Presented here is a nonlinear analysis of infinite plates and shallow shells, subjected to doubly periodic surface loadings. The drastically different behaviors predicted by the linear and the nonlinear theories are analyzed and discussed. It turns out that the transition from the small to the large deflection behavior involves nonlinear bifurcation and the existence of multiple equilibrium configurations, and it entails the question of stability. Seen in this light, it is easy to explain various features special to problems in this class, including the jump phenomenon. From the viewpoint of stability analysis, this class of problems is distinct and interesting in that the perturbations which can lead to instability have actually a higher degree of symmetry than the unperturbed configurations.

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