We present an analytical model of the high-velocity impact interaction of a rigid mesh with a semi-infinite deformable target, which is modeled as a rigid-plastic body. We consider the so-called “normal” impact of the mesh on the target: we assume that at the initial moment and subsequent moments of time the mesh is parallel to the target surface while the mesh velocity vector is perpendicular to this surface. The model reproduces the most interesting case in which the mesh aperture is comparable to or less than the diameter of the strings from which the mesh is woven. The aim of the study was to investigate the dependence of the mesh penetration depth on the impact velocity $$V_{0}$$ V 0 and on the geometric parameter of the mesh γ that is equal to the ratio of the string diameter to the mesh period. Two versions of the model are considered: with and without taking into accounts the fragmentation of the ejected material of the target. The results obtained on the basis of the proposed model are compared with the numerical solutions which were obtained using the LS-DYNA package. The example of the penetration of a steel mesh into an aluminum-alloy target with impact velocities of 1–3 km/s is analyzed. It is shown that the model that takes into account fragmentation agrees well with the numerical simulations for the mesh parameter interval $$\gamma_{p} < \gamma < 1$$ γ p < γ < 1 , in which the lower boundary decreases with increasing impact velocity: $$\gamma_{p}$$ γ p = 0.49, 0.29, 0.2 for $$V_{0}$$ V 0 = 1, 2, 3 km/s, respectively.

中文翻译：

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刚性网格与可变形目标的相互作用模型

我们提出了刚性网格与半无限可变形目标的高速碰撞相互作用的分析模型，该模型被建模为刚塑性体。我们考虑网格对目标的所谓“法向”影响：我们假设在初始时刻和后续时刻，网格平行于目标表面，而网格速度矢量垂直于该表面。该模型再现了最有趣的情况，其中网孔与编织网的线的直径相当或小于其直径。该研究的目的是研究网格穿透深度对冲击速度 $$V_{0}$$ V 0 和网格几何参数 γ 的依赖性，该几何参数等于弦直径与弦长之比。网期。考虑了模型的两个版本：考虑和不考虑目标喷射材料的碎片。将基于所提出模型获得的结果与使用 LS-DYNA 包获得的数值解进行比较。分析了钢网以 1-3 公里/秒的冲击速度穿透铝合金目标的例子。结果表明，考虑碎片的模型与网格参数区间 $$\gamma_{p} < \gamma < 1$$ γ p < γ < 1 的数值模拟吻合良好，其中下边界随着增加撞击速度：$$\gamma_{p}$$ γ p = 0.49, 0.29, 0.2 for $$V_{0}$$ V 0 = 1, 2, 3 km/s，分别。将基于所提出模型获得的结果与使用 LS-DYNA 包获得的数值解进行比较。分析了钢网以 1-3 公里/秒的冲击速度穿透铝合金目标的例子。结果表明，考虑碎片的模型与网格参数区间 $$\gamma_{p} < \gamma < 1$$ γ p < γ < 1 的数值模拟吻合良好，其中下边界随着增加撞击速度：$$\gamma_{p}$$ γ p = 0.49, 0.29, 0.2 for $$V_{0}$$ V 0 = 1, 2, 3 km/s，分别。将基于所提出模型获得的结果与使用 LS-DYNA 包获得的数值解进行比较。分析了钢网以 1-3 公里/秒的冲击速度穿透铝合金目标的例子。结果表明，考虑碎片的模型与网格参数区间 $$\gamma_{p} < \gamma < 1$$ γ p < γ < 1 的数值模拟吻合良好，其中下边界随着增加撞击速度：$$\gamma_{p}$$ γ p = 0.49, 0.29, 0.2 for $$V_{0}$$ V 0 = 1, 2, 3 km/s，分别。