考虑碎片云自相似性的后板损伤模型研究

Backplate Damage Model Considering the Self-similarity of Debris Cloud

超高速撞击产生的碎片云的运动规律是计算后板损伤的重要基础,已有的碎片云模型多是基于自相似特性而导出的。事实上,碎片云的自相似性并非在撞击后的全时段内满足。为此,本文采用数值仿真方法研究碎片云的自相似性对后板损伤的影响。基于数值仿真结果,以碎片云粒子运动轨迹的斜率偏差评估碎片云的自相似性,并得到碎片云的自相似度及碎片云自相似性的时空点。最后,提出基于仿真结果及自相似性的后板损伤模型并分析碎片云自相似性对后板损伤模型的影响。

The pattern of motion of debris cloud produced by hypervelocity impact is significant for the calculation of backboard damage.Most debris cloud models are derived based on the self-similar property of debris cloud.In fact, the self-similar property of debris cloud is not satisfied over the full time period after impact.The effect of debris cloud self-similarity to backplate damage is selected to explore using the numerical simulation.Based on the numerical simulation results, the self-similar property of debris cloud is evaluated with the slope deviation of the particles motion trajectories.And then self-similarity degree and self-similar space-time point are given.Finally, the model of backplate damage based on simulation results and self-similarity is proposed, and the effect of debris cloud self-similarity to backplate damage is analyzed.