钻地弹侵彻深度尺寸效应分析与实用计算公式

何勇 徐天涵 张效晗 随亚光 邢灏喆

何勇, 徐天涵, 张效晗, 随亚光, 邢灏喆. 钻地弹侵彻深度尺寸效应分析与实用计算公式[J]. 爆炸与冲击. doi: 10.11883/bzycj-2024-0248
引用本文: 何勇, 徐天涵, 张效晗, 随亚光, 邢灏喆. 钻地弹侵彻深度尺寸效应分析与实用计算公式[J]. 爆炸与冲击. doi: 10.11883/bzycj-2024-0248
HE Yong, XU Tianhan, ZHANG Xiaohan, SUI Yaguang, XING Haozhe. Analysis of the size effect on the penetration depth of earth-penetrating projectiles and practical calculating formula[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2024-0248
Citation: HE Yong, XU Tianhan, ZHANG Xiaohan, SUI Yaguang, XING Haozhe. Analysis of the size effect on the penetration depth of earth-penetrating projectiles and practical calculating formula[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2024-0248

钻地弹侵彻深度尺寸效应分析与实用计算公式

doi: 10.11883/bzycj-2024-0248
基金项目: 国家自然科学基金(12372378,52422808,52378401)
详细信息
    作者简介:

    何 勇(1964- ),男,博士,教授, hy1964@njust.edu.cn

    通讯作者:

    徐天涵(1995- ),男,博士,讲师,martinxu41@qq.com

  • 中图分类号: O389; TU45

Analysis of the size effect on the penetration depth of earth-penetrating projectiles and practical calculating formula

  • 摘要: 缩比模型试验是研究弹体侵彻规律的重要手段,模型试验结果与原型之间的尺寸效应是建立侵深计算方法必须解决的问题。依据已有基础理论推导了钻地弹侵彻岩石类靶体介质的应力与应变状态演化和弹体侵彻阻抗函数,得到了表征尺寸效应的弹径系数公式,并在常规钻地弹侵彻速度范围内对弹形系数和弹径系数作了简化分析,提出了常规钻地弹侵彻岩石类介质的实用计算公式,系数可直接由弹靶参数确定。结果表明,弹体侵彻阻抗的主要影响因素是靶体波阻抗,尺寸效应是由于靶体破坏区范围不满足几何相似律,弹形系数可简化为弹头长径比的线性函数,平头弹弹形系数为0.57,弹径系数由侵彻空腔半径与破碎区半径之比决定,对于常规钻地弹,弹径系数可取1.2~1.4。侵深理论公式与试验结果对比符合较好,具有较高的可靠性。
  • 图  1  侵彻破坏分区示意图

    Figure  1.  Schematic diagram of penetration damage zones

    图  2  锥形弹弹头特征

    Figure  2.  Characteristics of conical projectile

    图  3  卵形弹弹头特征

    Figure  3.  Characteristics of ogival projectile

    图  4  锥形弹弹形系数原公式与泰勒展开对比

    Figure  4.  Comparison between the nose shape coefficient of conical projectile and its Taylor expansion

    图  5  卵形弹弹形系数原公式与拟合曲线对比

    Figure  5.  Comparison of the original formula and fitting curve of the nose shape coefficient for ogival projectile

    图  6  不同靶体材料弹径系数变化曲线

    Figure  6.  Curves of λ2 vs. ξ

    图  7  花岗岩侵彻试验结果对比

    Figure  7.  Comparison of empirical and experimental penetration results for granite target.

    图  8  石灰岩侵彻试验结果对比

    Figure  8.  Comparison of empirical and experimental penetration results for limestone target.

    表  1  典型岩石参数[45-49]

    Table  1.   Typical rock parameters[45-49]

    岩石类型剪切强度/MPa剪切模量/GPaⅠ型断裂韧度/(MPa·m1/2
    花岗岩15~30[44]8~24[45]0.68~1.39[46]
    1.65~1.73[47]
    大理岩10~30[44]4~7[48]0.87~1.18[46]
    15~30[45]0.71~1.45[48]
    砂岩8~40[45]2~32[45]-
    玄武岩25~60[45]32~44[45]2~3[47]
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  • 收稿日期:  2024-07-22
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