A Reference Solution for the Numerical Assessment of Refined Plate Theories Including Boundary Layers and Edge Disturbances

Abstract

Using a modified Fourier transformation, an analytical solution for the layered plate under plane bending is derived. In contrast to Pagano’s solution, arbitrary boundary conditions at the plate edges can be prescribed. Numerical examples for the three-layered plate are presented, and the influence of the  material properties on the size of the boundary layer and the predictions of refined plate theories is discussed.