A numerical study of the instability of the metal shell in the implosion
-
摘要: 采用自行研制的多介质弹塑性流体力学欧拉程序，对柱形内爆加载金属界面不稳定性进行了数值研究，数值模拟结果与文献实验数据吻合较好。数值结果表明：材料强度对界面不稳定性发展有不可忽略的抑制作用；材料屈服强度对较高模数不稳定性增长的抑制较强，而剪切模量对不稳定性发展的影响相似但敏感性相对较弱；金属界面不稳定性增长存在最不稳定模数，最不稳定模数随屈服强度增加而减小，并近似与屈服强度的对数呈线性关系；随着壳的厚度减小，扰动增长加快。Abstract: In this work the instability of the metal shell in the cylindrical implosion was studied numerically using a multi-component elastic-plastic hydrodynamic Eulerian code. Agreeing with those of the experiments, the numerical results show that the material strength restrains the growth of the interfacial perturbation with an effect not to be overlooked. The material yield strength has an obvious restraining effect on the higher mode of perturbation, while that of the shear module is similar but less sensitive. There exists a most instable mode number, which decreases as the yield strength increases and is approximately linear with the logarithm of the yield strength, and the perturbation grows faster as the shell grows thinner.
-
Key words:
- fluid mechanics /
- interfacial instability /
- elastic-plastic simulation /
- implosion /
- material parameters
-
图 8 不同屈服强度下扰动模数与扰动增长的关系
Figure 8. Effect of perturbation mode on perturbation growth under different yield strength
图 9 最不稳定模数与屈服强度的关系
Figure 9. Relationship between yield strength and most instable mode
-
Piriz A R, Lopez Cela J J, Tahir N A, et al. Richtmyer-Meshkov instability in elastic-plastic media[J]. Physical Review E, 2008, 78(5):056401. doi: 10.1103/PhysRevE.78.056401 Piriz A R, Lopez Cela J J, Tahir N A. Linear analysis of incompressible Rayleigh-Taylor instability in solids[J]. Physical Review E, 2009, 80(4):046305. doi: 10.1103/PhysRevE.80.046305 Miles J W. Taylor instability of a flat plate[R]. San Diego: General Dynamics, GAMD-7335, 1966. Drucker D C. "Taylor instability" of the surface of an elastic-plastic plate[C]//Nemat-Nasser C. Mechanics Today, Vol. 5. New York: Pergamon Press, 1980: 37-47. Lebedev A I, Nizovtsev P N, Rayevsky V A. Rayleigh-Taylor instability in solids[C]//4th International Workshop on the Physics of Compressible Turbulent Mixing (IWPCTM). Cambridge, England, 1993. Barnes J F, Blewett P J, McQueen R G, et al. Taylor instability in solids[J]. Journal of Applied Physics, 1974, 45(2):727-732. doi: 10.1063/1.1663310 Swegle J W, Robinson A C. Acceleration instability in elastic-plastic solids. I. Numerical simulations of plate acceleration[J]. Journal of Applied Physics, 1989, 66(7):2838-2858. doi: 10.1063/1.344190 Mikaelian K. Effect of viscosity on Rayleigh-Taylor and Richtmyer-Meshkov instabilities[J]. Physical Review E, 1993, 47(1):375-383. doi: 10.1103/PhysRevE.47.375 Colvin J D, Legrand M, Remington B A, et al. A model for instability growth in accelerated solid metals[J]. Journal of Applied Physics, 2003, 93(9):5287-5301. doi: 10.1063/1.1565188 Atchison W L, Zocher M A, Kaul A M. Studies of material constitutive behavior using perturbation growth in explosive and magnetically driven liner systems[J]. Russian Journal of Physical Chemistry B, 2008, 2(3):387-401. doi: 10.1134/S199079310803010X Dimonte G, Terrones G, Cheme F J, et al. Use of the Richtmyer-Meshkov instability to infer yield stress at high-energy density[J]. Physical Review Letters, 2011, 107(26):264502. doi: 10.1103/PhysRevLett.107.264502 Frachet V, Geleznikoff F, Guix R, et al. Rayleigh Taylor instability in cylindrical configuration[C]//2nd International Workshop on the Physics of Compressible Turbulent Mixing (IWPCTM). Pleasanton, CA, 1989. Park H S, Lorenz K T, Cavallo R M, et al. Viscous Rayleigh-Taylor instability experiments at high pressure and strain rate[J]. Physical Review Letters, 2010, 104(13):135504. doi: 10.1103/PhysRevLett.104.135504 刘军, 冯其京, 周海兵.柱面内爆驱动金属界面不稳定性的数值模拟研究[J].物理学报, 2014, 63(15):155201. doi: 10.7498/aps.63.155201Liu Jun, Feng Qijing, Zhou Haibing. Simulation study of interface instability in metals driven by cylindrical implosion[J]. Acta Physica Sinica, 2014, 63(15):155201. doi: 10.7498/aps.63.155201 冯其京, 郝鹏程, 杭义洪, 等.聚能装药的欧拉数值模拟[J].爆炸与冲击, 2008, 28(2):138-143. doi: 10.3321/j.issn:1001-1455.2008.02.007 期刊类型引用(13)
1. 王梓宇，李胜林，李黎，凌天龙，梁书锋，孙旭. 隧道爆破地震作用下燃气管道动力响应规律研究. 爆破. 2024(03): 212-221+247 . 
百度学术2. 郭映聪. 基于小波分析基坑钻爆开挖地震效应预测研究. 市政技术. 2023(02): 126-132 . 百度学术3. 李辉，王董东，杜文康，弓煜. 安家岭煤矿爆破振速预测与安全允许距离研究. 煤炭工程. 2023(10): 156-161 . 百度学术4. 代树红，安志奎，王晓晨，韩荣军. 露天煤矿爆破振动速度计算公式研究. 辽宁工程技术大学学报(自然科学版). 2022(01): 41-46 . 百度学术5. 宋宏坤. 基于爆破振速衰减规律的爆破振动控制技术. 中外公路. 2022(02): 188-193 . 百度学术6. 贾海鹏，刘殿书，方真刚，田帅康. 地铁隧道钻爆法施工中敏感区间及安全药量确定. 北京理工大学学报. 2021(01): 23-29 . 百度学术7. 万嗣鹏，陶铁军，陈二平，刘永明，杨志强. 考虑岩体抗拉强度的爆破振动速度衰减多元非线性模型. 爆破器材. 2020(03): 53-58 . 百度学术8. 王林峰，邓冰杰，莫诎，赵精富，肖弘光. 基于概率论的爆破振动安全评估与控制. 振动与冲击. 2020(14): 122-129 . 百度学术9. 周文海，梁瑞，余建平，杜超飞，王敦繁，楼晓明. 边坡抛掷爆破峰值质点振动速度的无量纲分析. 爆炸与冲击. 2019(05): 76-83 . 
本站查看10. 袁旺小. 隧道掘进爆破地表振速的预测研究. 公路交通科技(应用技术版). 2019(05): 257-259 . 百度学术11. 周文海，余建平，梁瑞，吕亚茹，王敦繁，陈宗杰. 基于逐步回归算法的边坡爆破振动控制研究. 长江科学院院报. 2019(07): 89-95 . 百度学术12. 王奋，范勇，周宜红，赵春菊，严鹏. 隧洞爆破地震波作用下临近水电站的安全性评估. 爆破. 2017(02): 132-137 . 百度学术13. 王玉乐，罗周全，谢承煜，随晓丹，曹祖华. 深孔爆破对隐患资源开采两帮的动力响应特性研究. 爆破. 2017(04): 33-39 . 百度学术其他类型引用(6)
-
下载:
百度学术
图(11)
计量
- 文章访问数: 4343
- HTML全文浏览量: 1161
- PDF下载量: 568
- 被引次数: 19