Plate buckling including effects of shear deformation and plate bending curvatures using the boundary element method

Abstract

In this paper, the plate bending curvature was included in the geometrical non-linearity (GNL) effect beyond the deflection derivatives to perform plate buckling analyses. The boundary element method (BEM) was adopted and the formulation employed two integrals related to the GNL effect, with one computed on the boundary and the other on the domain. The eigenvalue problem was solved with the inverse iteration method. Results obtained with different boundary conditions were compared to values in the literature.