Optimization analysis of state equation and failure criterion for concrete slab subjected to impact loading

Concrete slabs are typically subjected to impact loading, and the selection of the equations of state and failure criteria has significant effects on the dynamic mechanical behavior of concrete. One of the most commonly adopted impact loading is projectile impact. In this study, the optimization analysis of the equation of state and failure criterion for rigid projectile penetration, which are often available for theoretical models, were analyzed using regression evaluation methods. Subsequently, based on the analysis results, a multi-phase model for the penetration of rigid projectiles into concrete was established which combined with the dynamic cavity expansion theory. Finally, the prediction results of the proposed model were compared with existing experimental data and prediction results of existing penetration models. The results showed that the prediction model has a wide range of applicability and high accuracy.