Dimensional Analysis of Ballistic Limit of Spherical Fragments Penetrating Multi-Layer Plate

In order to study the anti-penetration performance of Q235 steel multi-layer plate, we carried out a $\varnothing $9.45 mm spherical fragment of tungsten alloy to penetrate the 7.2 mm and (3.6+3.6) mm Q235 steel double-layer plates, and obtained the corresponding ballistic limits. On this basis, we established a numerical simulation model to study the ballistic limits of the laminated contact plates with three, four, five, and six layers of equal thickness penetrated by the tungsten ball. Through the dimensional method, we analyzed the effect of the number of layers on the ballistic limit of the target. The results show that for spherical fragments, the anti-penetration performance of the double-layer plate with a total thickness of 7.2 mm is higher than that of the single-layer plate; when the number of layers is greater than 2, the ballistic limit of the multi-layer target decreases with the increase of the number of layers. The relationship between the number of layers of the target and the ballistic limit of the fragment is obtained by the dimensional method. The results can provide a guidance for the design of armor protection in the future.