In-Plane Moduli of Elasticity Homogenization of Arc-Tan Corrugation

Corrugated core sandwich panels are used extensively in the engineering field. To understand the behavior of the corrugated materials and identify their properties, these materials are investigated to establish their behavior pattern. One method to reduce the complexity of modeling corrugated core sheets is through homogenization. In this paper a homogenization method is derived for sandwich panel with an arc-tan corrugation. The reduction of the 3D plate to 2D orthotropic structure is based on Castigliano's second theory. The derived model for the elastic moduli in x1 and x2 directions is utilized to calculate (E1) and (E2), which are two of five properties that characterize any orthotropic corrugated core sheet. Theoretically derived model compares well with other models found in the literature. The same model can be easily extended to find other material constants needed to fully describe corrugated panels.