The elastic response of sandwich structures to local loading

The paper addresses the elastic response of sandwich panels to local static and dynamic loading. The bottom face is assumed to be clamped, so that the overall bending is eliminated. The governing equations are derived using the static Lamé equations for the core and the thin plate Kirchoff–Love dynamic theory for the faces. The plane and axisymmetric formulations are considered. The closed-form solutions are obtained using Fourier–Laplace (Hankel–Laplace) integral transformations for the cases of forced excitation and impact by a rigid body. The solutions allow to predict the stress–strain state of the structure. The analytical solutions demonstrate a good agreement with experimental data and finite element analysis.