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弹箭与制导学报 >

2026 , Vol. 46 >Issue 1: 49 - 60

DOI: https://doi.org/10.15892/j.cnki.djzdxb.2026.01.006

几何相似弹体侵彻混凝土深度的尺寸效应分析

  • 都子军 1 ,
  • 高飞 , 1, * ,
  • 于多 1 ,
  • 王思凯 1 ,
  • 邓树新 2
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  • 1 南京理工大学 机械工程学院,江苏 南京 210094
  • 2 南京理工大学 安全科学与工程学院(应急管理学院),江苏 南京 210094
*。

收稿日期: 2025-11-18

  网络出版日期: 2026-03-09

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Analysis of the Size Effect of Penetration Depth of Geometrically Similar Projectiles into Concrete

  • DU Zijun 1 ,
  • GAO Fei , 1, * ,
  • YU Duo 1 ,
  • WANG Sikai 1 ,
  • DENG Shuxin 2
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  • 1 School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China
  • 2 School of Safety Science and Engineering(School of Emergency Management), Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

Received date: 2025-11-18

  Online published: 2026-03-09

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摘要

为探究弹体对混凝土介质侵彻深度的尺寸效应,通过开展三种几何相似弹体(缩尺比为1/1、1/2与1/3)的侵彻试验,提出以弹径系数为变量的侵彻深度计算方法,建立考虑缩尺比的侵彻深度换算系数模型,并通过数值模拟对侵彻过程中弹靶接触区材料的动态应变率进行了定量分析,最终确定不同缩尺比下侵彻深度换算系数取值。结果表明:原型弹与模型弹的无量纲侵彻深度存在尺寸效应,其源于不同缩比试验中靶体平均应变率的差异,该应变率随侵彻速度增大而增大,随弹体直径减小而增大,且不满足几何相似缩比关系。所建立的侵彻深度换算系数与靶体应变率及缩尺比相关,该系数不仅量化了材料应变率对尺寸效应的影响,也从机理上阐明了混凝土介质中侵彻深度尺寸效应的成因。

关键词： 模型试验; 侵彻深度; 尺寸效应; 有限元分析

本文引用格式

都子军 , 高飞 , 于多 , 王思凯 , 邓树新 . 几何相似弹体侵彻混凝土深度的尺寸效应分析[J]. 弹箭与制导学报, 2026 , 46(1) : 49 -60 . DOI: 10.15892/j.cnki.djzdxb.2026.01.006

Abstract

The penetration tests on three sets of geometrically similar projectiles with scaling ratios of 1/1, 1/2 and 1/3 are carried out to investigate the size effect of penetration depth of projectile into concrete media. A calculation method for penetration depth with the projectile diameter coefficient as a variable is proposed, and a conversion coefficient model that takes into account the scaling ratio is established for penetration depth. The dynamic strain rate of material in the projectile-target contact zone during the penetration processare quantitatively analyzed through numerical simulation, and the values of penetration depth conversion coefficients under different scaling ratios are ultimately determined. The results show that the size effect exists in the dimensionless penetration depth between the prototype projectile and the model projectile, which arises from the difference in the average strain rates of target in the tests with different scaling ratios. The strain rate increases with the increase of penetration velocity and the decrease of projectile diameter, and does not conform to the geometric similarity scaling relationship. The established penetration depth conversion coefficient is correlated with the target strain rate and the scaling ratio. This conversion coefficient not only quantifies the influence of the material strain rate on the size effect, but also clarifies the mechanism of the size effect of penetration depth in concrete media from a mechanistic perspective.

Key words： model test; penetration depth; size effect; finite element analysis

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