DEVELOPMENT OF THE SINGLE ANALYTICAL FORMULATION FOR THE DEFORMABLE PROJECTILE IMPACT ON THE MULTI-LAYER COMPOSITE

Abstract

This study investigates the development of an analytical formulation aimed at predicting the depth of penetration when a deformable projectile impacts a multi-layer composite structure. The projectile, measuring 50.80 mm in diameter and 355.60 mm in length, is impacted against a target with dimensions of 1000 mm × 1000 mm and a thickness of 410 mm. The composite target comprises a soil layer, a boulder layer, a steel layer, a high-density polyethylene (HDPE) layer, and a reinforced concrete (RCC) slab layer. The formulation in this study starts by analyzing the penetration of a non-deformable projectile into a multi-layer composite and comparing the results with a monolayer boulder of equivalent thickness. This comparison is then extended to the case of a deformable projectile. To account for the deformation of the projectile nose, detailed numerical simulations are carried out for both the multi-layer composite and the monolayer boulder, allowing for an understanding of the impact of projectile deformation. These simulations lead to the development of a nose erosion factor that accounts for the nose deformation of the projectile. Based on the results from both the multi-layer composite and the monolayer boulder, it is concluded that the analytical formulation accurately predicts the depth of penetration in both cases. As a result, it is possible to use the simpler single-material analytical formulation to predict the behavior of multimaterial, multi-layer composites. This approach simplifies the process, reducing the need for complex and time-consuming mathematical calculations, and minimizes the risk of human error due to the involvement of numerous equations.