Presenting an analytical model based on the energy method to study the plastic deformation of circular plates under uniformly repeated blast loading

Circular plates are simple structures that deform under the action of blast energy. The plastic deformation of the plates is the most important factor of energy absorption in circular sheets. In these structures, which have symmetrical geometry and loading, the greatest amount of deformation occurs in the center of the sheet. Structures such as plates in military applications and even in civilian applications may be repeatedly exposed to explosive loads. In this paper, a new analytical method based on the balance of absorbed plastic work and initial kinetic energy, the behavior of the plate under free and uniformly repeated blast loading is investigated and compared with the experimental method. In this method, it is theoretically possible to investigate the response of the structure under any number of free explosion loads. Each plate is subjected to free blast loading in two consecutive stages. Loading at each stage of the explosion is the same and with the same charge mass and explosion distance. The results of the analytical solution are compared with the experimental results and there is a good agreement between the results.