A new FE-model for the computation of layered plates with continuous interlaminar transverse shear stresses

摘要

In this paper layered plates subjected to static loading are considered. The theory is based on a multi field functional, where the associated Euler-Lagrange equations include besides the global plate equations formulated in stress resultants local equilibrium equations in terms of stresses. Within a four-node element the warping displacements are interpolated with layerwise cubic functions in thickness direction and constant shape throughout the element reference surface. As a consequence the computed interlaminar shear stresses are automatically continuous at the layer boundaries. Also the stress boundary conditions at the outer surfaces are fulfilled without introduction of further constraints. Elimination of warping and Lagrange parameters on element level leads to a mixed hybrid element with five nodal degrees of freedom. The essential feature is the fact that it leads to usual plate degrees of freedom, which allows application of standard boundary conditions.