Evaluation of geometrically nonlinear terms in the large-deflection and post-buckling analysis of isotropic rectangular plates

2020 ◽  
Vol 121 ◽  
pp. 103461 ◽  
Author(s):  
Alfonso Pagani ◽  
Ehsan Daneshkhah ◽  
Xiangyang Xu ◽  
Erasmo Carrera
Keyword(s):  
Large Deflection ◽  
Buckling Analysis ◽  
Geometrically Nonlinear ◽  
Rectangular Plates ◽  
Post Buckling

Asymptotic post-buckling analysis of rectangular plates by HC finite elements

1995 ◽  
Vol 38 (14) ◽  
pp. 2325-2345 ◽  
Author(s):  
Antonio D. Lanzo ◽  
Giovanni Garcea ◽  
Raffaele Casciaro
Keyword(s):  
Finite Elements ◽  
Buckling Analysis ◽  
Rectangular Plates ◽  
Post Buckling

Nonlinear Behaviour of Unsymmetric, Angle-Ply, Rectangular Plates under in-Plane Edge Shear

1979 ◽  
Vol 21 (3) ◽  
pp. 205-212 ◽  
Author(s):  
M. K. Prabhakara ◽  
J. B. Kennedy
Keyword(s):  
Large Deflection ◽  
Bending Moment ◽  
Double Series ◽  
Nonlinear Behaviour ◽  
Rectangular Plates ◽  
Bending Moments ◽  
High Modulus ◽  
Buckling Loads ◽  
Post Buckling ◽  
Transverse Deflection

A nonlinear analysis of unsymmetric, angle-ply, rectangular plates under uniform in-plane edge shear is presented. The solution is based on the von Kármán-type large-deflection equations, with the force function and the transverse deflection expressed as double series in terms of appropriate beam functions. The prescribed boundary conditions, including those for the vanishing of normal bending moment at the edges of simply supported plates, are satisfied. Numerical results for the buckling loads and for the post-buckling deflections, membrane forces and bending moments are presented for plates composed of high-modulus, fibre-reinforced epoxy composites.

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