为更合理设计混凝土靶抗侵彻相似试验,以混凝土材料的粘塑性本构关系为基础,根据相似理论,建立了卵形弹高速侵彻混凝土靶时相似律的一般形式。同时,结合工程计算方法,对其进行深入的分析。结果表明:考虑应变率影响时其几何相似律是不成立的,而且在缩尺比较大时,几何相似律偏离愈加明显,这是因为混凝土的应变率效应使得相似律发生了平移和偏转。通过对计算结果的分析和拟合,得出对原几何相似律进行修正的公式。

In order to design the similarity test for earth penetrating weapon which penetrates into concrete target more reasonably, based on the viscous elastic constitutive models for the concrete target, the similarity relation for ogive projectile penetrating concrete target was built, which was analyzed deeply with engineering analysis and numerical calculation. The results show that geometric similarity law is inaccurate when strain rate effect is included, and as the scale is large enough, the deviation is more obvious because strain rate effect of concrete makes the similarity relation offset and rotate. The amendment formula has been given by analyzing and fitting the calculation results.