Equivalence method for the dynamic loading of concrete slab subjected to explosion

Based on the consistency of dynamic response, an equivalence method is proposed in which the explosive load acting on a concrete slab is simplified to be uniform triangle pressure load without ascending time. By using dimensional analysis, the maximum momentum of the structure and its arrival time are used as medium parameters, the relations of the peak overpressure and duration of the equivalent load with the explosive mass and distance are obtained. Afterwards, a series of numerical simulations are conducted, based on which the constants in the empirical formula are determined. Finally, the dynamic response of the structure subjected to the equivalent load and that caused by the true explosive load are compared by means of numerical simulations, which show good agreement and verify the validation of this method.