Postbuckling Behavior of Rectangular Plates With Small Initial Curvature Loaded in Edge Compression—(continued)

Abstract

In the previous paper [1], the title problem is theoretically treated under eight different boundary conditions and numerical solutions are obtained for the deflection, edge shortening, and effective width of the square plate in edgewise compression. As a continuation of this work, the stress state in the buckled plate is investigated and numerical results for the square plate are given graphically. Further the formulas for the ultimate load of the square plate in each case are derived by using the maximum-shear theory for the beginning of yielding and comparison is made with the previous results and experiments.

Postbuckling analysis of variable angle tow composite plates

“…As the movement of transverse edges is passive and driven by in-plane stretching, the work done by the edge stresses must equal zero (Gürdal and Olmedo, 1993), of N y0 needs to be eliminated. However, a simple trigonometric series has often been employed for the stress function expansion to model the case C, expressed as (Levy, 1945;Yamaki, 1959;Bisagni and Vescovini, 2009a),…”

“…Coan (1950) extended Levy's work to plates with stress-free edges (mixed boundary conditions). Yamaki (1959) presented the analytical results of the isotropic plates with different boundary conditions. Prabhakara and Chia (1973) proposed a postbuckling analysis for orthotropic laminated composite plates under biaxial loading by using the Galerkin method and beam eigenfunctions.…”

“…In his work, the general expressions for the stress coefficients in terms of deflection coefficients were derived from the compatibility equation. These expressions were then substituted into the nonlinear equilibrium equation to solve the postbuckling problem and also have been widely used in later published works (Coan, 1950;Yamaki, 1959;Chia, 1980;Shin et al, 1993). Coan (1950) extended Levy's work to plates with stress-free edges (mixed boundary conditions).…”

“…Airy's stress function is much more convenient for dealing with various in-plane boundary conditions than using the displacement functions, especially for the mixed (stress and displacement) boundary conditions. For the postbuckling analysis of VAT plates using the potential energy method, the closed-form solution (Levy, 1945;Coan, 1950;Yamaki, 1959;Shin et al, 1993) for Airy's stress function is obtained first. This, is found in terms of out of plane displacement, from the compatibility equation prior to the application of minimisation of the potential energy to find out of plane displacement.…”

Post‐buckling analysis of imperfect laminates using finite strips based on a higher‐order plate theory

“…For plates, Yamaki [16] and Little [17] have performed post-buckling analysis of rectangular plates with small initial curvature. Modelling of initial imperfection by the ÿnite-element method has also been described, for instance Kapania and Yang [18] and Saigal et al [19].…”