Analytical Homogenization for In-Plane Shear and Torsion of Honeycomb Sandwich Plates with Skin and Height Effects

Numerical modeling of honeycomb structures is too tedious and time consuming. The homogenization of these structures enables to obtain an equivalent homogeneous solid and its elastic stiffness thus to make very efficient simulations. In the present study, the skin effect is taken into consideration for the in-plane shear and torsion problems, in which the two skins are much more rigid than the honeycomb core. An analytic homogenization method, using trigonometric function series and based on the membrane plate theories, is proposed to study the influence of the honeycomb height on these properties, and the upper and lower bounds of the equivalent elastic stiffness of their curves are analyzed. A numerical H-model is established for the in-plane shear and torsion problems.