Efficient large deflection analysis of rectangular orthotropic plates by direct energy minimisation

Load increment procedure for post-buckling analysis of laminated plates under in-plane loads by finite strip method

“…The geometrically non-linear displacement ÿelds for v and w can be any appropriate series that satisÿes the kinematic boundary conditions at the ends of the strip. Although in previous studies simply supported boundaries have been assumed at the ends of the strips for out-of-plane displacements, other series terms can also be used for di erent types of end conditions, for instance see references [13] and [14].…”

“…The load factor P is deÿned as P = N av L= 2 Eh 3 , where E is the modulus of elasticity and h is the thickness of the plate. N av is the average force calculated from Equation (10) and is equal to F x as given in Equation (13). U cr is the end shortening strain at buckling and is equal to 0:2570 × 10 −3 .…”

Accuracy of Strain Solution of a Laminated Composite Plate via Galerkin's Method

“…For generally laminated plates, Whitney and Leissa [9] included inertia terms in the von Kármán type nonlinear equations. Many authors contributed to the large deflection analysis of laminated plates [10][11][12][13][14][15][16][17][18][19][20][21][22]. Also, several studies have been done on the composite plates over the decades.…”

Moderately Large Deflection of Laminated Thin Rectangular Plates

“…Niyogi [8] presented the displacement formulation of the governing field equations for nonlinear behaviour of rectilinearly orthotropic elastic plates. Little [9] considered the analysis of thin, rectangular, specially orthotropic plates by representing the transverse deflection and the force function as Fourier series. Chia [10,11], Reddy and Chandrashekhara [12], Bert [13], Sathyamoorthy [14], and Reddy [15] provided a wealth of information on a variety of geometrically nonlinear static and dynamic problems of plates.…”