Author(s)

L. Palermo, R. A. Soares

Abstract

A boundary element formulation to compute critical loads in static problems is analyzed. The bending model includes the effect of shear deformation that turns deflection derivatives independent of plate rotations. The effect of geometrical non-linearity (GNL) related to in-plane loading is introduced with two additional integrals in the formulation: one is performed on the domain and the other on the boundary. The boundary integral can be related to one of the natural conditions according to the boundary value problem. The inverse iteration was used to get the lowest eigenvalue. Results obtained with several boundary conditions and using derivatives of the deflection in the effect of GNL are compared and discussed with expect values from the literature.

Keywords

plate bending with in-plane forces, critical loads of plates, Reissner-Mindlin plates