Elasticity Solution for Static Analysis of Sandwich Structures with Sinusoidal Corrugated Cores

Metal sandwich panels are three-dimensional structures widely used in indus- tries mainly due to two distinct properties: low density and high strength. Although signi cant e orts have been made at research into corrugated sand- wich panels, analytical solutions are still very few. This work wishes to present accurate analytical results of static analysis of corrugated sandwich panels. In order to determine equivalent properties of corrugated core in the thickness di- rection, energy method is used in conjunction with homogenization approach. Based on three-dimensional theory of elasticity, partial di erential equations are reduced to ordinary di erential equations by using the Fourier series. Ana- lytical solutions for the stress and displacement elds are derived by using the state-space method in the thickness direction. A detailed parametric study was conducted involving the dependency of out-of-plane properties on the corrugation geometrical parameters. Moreover, e ects of these variables on the stress and displacement elds are discussed.