The cavity expansion theory is most widely used to predict the depth of penetration of concrete targets. The main purpose of this work is to clarify the differences between the spherical and cylindrical cavity expansion models and their scope of application in predicting the penetration depths of concrete targets. The factors that influence the dynamic cavity expansion process of concrete materials were first examined. Based on numerical results, the relationship between expansion pressure and velocity was established. Then the parameters in the Forrestal’s formula were fitted to have a convenient and effective prediction of the penetration depth. Results showed that both the spherical and cylindrical cavity expansion models can accurately predict the depth of penetration when the initial velocity is lower than 800 m/s. However, the prediction accuracy decreases with the increasing of the initial velocity and diameters of the projectiles. Based on our results, it can be concluded that when the initial velocity is higher than the critical velocity, the cylindrical cavity expansion model performs better than the spherical cavity expansion model in predicting the penetration depth, while when the initial velocity is lower than the critical velocity the conclusion is quite the contrary. This work provides a basic principle for selecting the spherical or cylindrical cavity expansion model to predict the penetration depth of concrete targets.
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机译：模腔膨胀理论最广泛地用于预测混凝土靶材的渗透深度。这项工作的主要目的是弄清球形和圆柱形腔体膨胀模型之间的差异及其在预测混凝土靶的穿透深度方面的应用范围。首先研究了影响混凝土材料动态扩孔过程的因素。根据数值结果，建立了膨胀压力与速度的关系。然后，将Forrestal公式中的参数进行拟合，以方便有效地预测穿透深度。结果表明，当初始速度低于800 m / s时，球形和圆柱形腔体膨胀模型都可以准确预测穿透深度。然而，预测精度随着弹丸初始速度和直径的增加而降低。根据我们的结果，可以得出结论：当初始速度高于临界速度时，圆柱孔扩张模型在预测穿透深度方面要优于球形孔扩张模型，而当初始速度低于临界速度时速度的结论是完全相反的。这项工作为选择球形或圆柱形空腔膨胀模型以预测混凝土目标的穿透深度提供了基本原理。
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