An analytical model for the face wrinkling failure prediction of metallic corrugated core sandwich columns in dynamic compression

• A semi-analytical approach is proposed for the dynamic face-wrinkling response of metallic corrugated core sandwich columns.
• A dynamic version of Euler–Bernoulli equation is solved for the transverse motion of face ligaments.
• Stress wave propagation in metallic core sandwich columns is considered.
• The effects of geometric imperfection and material rate are studied.

This work was motivated by a necessity of simple and efficient models approximating the responses associated with all the possible failure modes of corrugated core sandwich columns in dynamic compression. In this study, an analytical model was proposed for the prediction of face wrinkling behavior of corrugated core sandwich columns under dynamic compressive loading perpendicular-to-corrugations. The proposed analytical model has been based on the calculation of transverse motion of face ligaments near the front and back ends of a sandwich column. The governing equation for the face ligaments has been a dynamic version of Euler–Bernoulli beam–column equation, and the motions were obtained by employing the Galerkin method to solve the equation. For validation of the proposed model, FE simulations were performed to compare several metrics such as reaction force and the transverse deflection of face ligaments. It was revealed that the dynamic face wrinkling response was also affected by overall column length and the rate of loading unlike the face wrinkling strength of corrugated core sandwich columns in quasi-static compression. Finally, the model׳s limitation and efficiency were discussed.