scholarly journals Elasticity Theory of Thin Plates and Active Optics. Solutions for Generating Toroid Surfaces with Vase Forms

2015 ◽  
Vol 1 (1) ◽  
pp. 77-100
Author(s):  
G´erard Lemaitre
2021 ◽  
Vol 9 (3B) ◽  
Author(s):  
Widad Ibraheem Majeed ◽  

A higher-order displacement field is used for the analysis of the thermal buckling of composite plates subjected to thermal load; it is based on a constant ‘‘m’’, which is optimized to get results relatively close to those given by 3D elasticity theory. Adequate transverse shear strains distribution through the thickness and free stress surfaces of the plate is satisfied using this theory. Hamilton’s principle is used to derive equations of motion, which are solved using Navier-type series for simply supported plates. Thermal buckling of cross-ply laminates with various (α2 / α1) ratios, number of layers, aspect ratios, E1/E2 ratios, and stacking sequence for thick and thin plates is studied in detail. It is concluded that the obtained results using this displacement field are close to those calculated by 3D elasticity theory and other shear deformation plate theories when m=0.05.


1992 ◽  
Vol 4 (1) ◽  
pp. 127-138
Author(s):  
Masahiko Hirao ◽  
Hidekazu Fukuoka ◽  
Yoshinori Murakami
Keyword(s):  

1988 ◽  
Vol 57 (3) ◽  
pp. 164-170
Author(s):  
Akihiko Ihochi ◽  
Tokuji Maruyama

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