Predicting the behavior of armored plates under shallow-buried landmine explosion using incomplete scaling models

Due to the influence of strain rate effect, distorted geometry and surface effect, the dynamic response of high strength steel plates under shallow-buried explosion will not follow the geometry similarity law. Therefore, the corrected relationship between strain-rate effect and specific impulse is derived by dimensional analysis. The exponential function presented by Oshiro and Alves is adopted to establish the corrected formula for the distorted thickness model, in which the surface effect is taken into account for alleviating the deviation caused by the manufacturing procedure. Based on the test data, which Rigby measured in the buried explosion, a set of revised empirical formulas for calculating the relationship between the specific impulse and the mass of explosives is determined. Moreover, by these models, one can predict the mid-point deflection of plates subjected to landmine explosion. Given all this, a rapid solution to predict the behavior of the prototype is presented in this paper. Three different shapes of plates subjected to landmine explosion are analyzed to validate this method. It is shown that the corrected incomplete scaling model can accurately predict the response of the prototype, which is helpful to design the incomplete scaled-down model test for mines resistant armored vehicles.