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兵工学报 ›› 2016, Vol. 37 ›› Issue (1): 42-49.doi: 10.3969/j.issn.1000-1093.2016.01.007

• 论文 • 上一篇    下一篇

考虑剪胀效应的混凝土动态球形空腔膨胀理论

张欣欣1, 闫雷2, 武海军1, 黄风雷1   

  1. (1.北京理工大学 爆炸科学与技术国家重点实验室, 北京 100081;
  • 收稿日期:2015-06-24 修回日期:2015-06-24 上线日期:2016-03-23
  • 作者简介:张欣欣(1987—), 男, 博士研究生
  • 基金资助:
    国家自然科学基金项目(11390362、11572048); 国防基础科研项目(B1020132071)

A Note on the Dynamic Spherical Cavity Expansion of Concrete with Shear Dilatancy

ZHANG Xin-xin1, YAN Lei2, WU Hai-jun1, HUANG Feng-lei1   

  1. (1.State Key Laboratory of Explosion Science and Technology, Beijing Institute of Technology, Beijing 100081, China;2Shandong Special Industry Group Co. Ltd, Zibo 255201, Shandong, China)
  • Received:2015-06-24 Revised:2015-06-24 Online:2016-03-23

摘要: 在考虑混凝土的压缩和扩容特性条件下,建立了动态球形空腔膨胀理论,其中完整的靶体响应为密实区-扩容区-开裂区-弹性区,在扩容区采用扩容方程。基于上述理论得到了空腔表面应力与膨胀速度的表达式,使用侵彻方程计算不同工况的侵彻深度并与试验值作对比,同时对混凝土强度参数和压缩系数对弹体侵彻深度的影响规律进行研究。结果表明:该模型可以较好预测侵彻深度,具有一定的合理性;混凝土强度参数中压力硬化系数对侵彻深度的影响较大,随着弹体初速度增大应考虑混凝土材料的剪切饱和性质;随着压缩系数不断减小,混凝土材料由压缩转为膨胀状态,导致空腔表面应力增加,侵彻深度降低。

关键词: 兵器科学与技术, 混凝土, 球形空腔膨胀理论, 剪胀效应, 侵彻

Abstract: Considering the compression and dilatation of the concrete,a model of dynamic spherical cavity expansion is constructed, where the complete response of target is densification region-dilatation region-crack region-elastic region, and the dilatant-kinematic relation is used for the dilatation region. The expression of cavity stress and expansion speed is obtained with the theory above, and the depths of penetration in different conditions are calculated. The effects of the concrete strength and dilatation on penetration depth are analyzed. The results indicate that the proposed model is reasonable to predict the depth of penetration; the stress hardening parameter has a great influence on the depth of penetration, and the shear saturation should be considered with the increase in the projectile volecity; with the decrease in the densification parameter, the condition of the concrete turns into dilatation from compression, resulting in the increase in cavity stress and the decrease in depth of penetration.

Key words: ordnance science and technology, concrete, dynamic spherical cavity expansion, shear-dilatancy, penetration

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