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Gold Science and Technology ›› 2021, Vol. 29 ›› Issue (3): 411-420.doi: 10.11872/j.issn.1005-2518.2021.03.007

• Mining Technology and Mine Management • Previous Articles    

Numerical Simulation Study of High-strength Projectile Penetrating White Granite Target

Jin HUANG(),Kewei LIU(),Shaohu JIN   

  1. School of Resources and Safety Engineering,Central South University,Changsha 410083,Hunan,China
  • Received:2020-12-27 Revised:2021-03-12 Online:2021-06-30 Published:2021-07-14
  • Contact: Kewei LIU E-mail:hj_changsha@csu.edu.cn;kewei_liu@126.com

Abstract:

It is of great significance to investigate the penetration effect of high strength projectile on rock mass for the development of rock breaking technology in mine drilling.The penetration process is a process with large deformation of material.It is difficult for traditional finite element method to solve the problem with large deformation,which will lead to mesh distortion and calculation disruption.In order to obtain the damage responses of white granite under the condition of high speed penetration,the HJC material model was employed to model the white granite target and the projectile was assumed to be rigid.The HJC model was calibrated by the SHPB test data and the results show that the HJC model is capable to model the mechanical behavior of white granite under high strain rate conditions.The nonlinear finite element analysis software LS-DYNA was utilized and an SPH-FEM coupled method was developed to overcome the penetration problem with large deformation of granite target.A series of numerical simulation of projectile impacting white granite target with different velocity were carried out.The projectile is with diameter of 20 mm,CRH of 3 and length-diameter ratio of 6.The simulation results show that the SPH-FEM method can effectively simulate the mechanical damage response of rock target subjected to high speed impact.Based on the relationship between different impact velocities and penetration depth,an empirical formula for penetration depth of white granite is obtained,which can be used to predict the penetration depth of rock mass with similar strength.Finally,the effects of different nose shapes on penetration performance was studied. The results show that the penetration performance of flat-nose projectile is much lower than that of ogive-nose projectile,and the penetration damage area is smaller.The penetration depths of flat-nose projectile at initial velocity of 50,100,150,200,250 and 300 m/s are 16.7%,27.8%,35.1%,32.1%,36.1%,40.5% of the penetration depths of ogive-nose projectile,respectively.

Key words: rock mechanics, numerical simulation, mechanical damage, penetration performance, empirical formula, SPH-FEM coupling method

CLC Number: 

  • TJ410

Fig.1

Φ50 mm×50 mm white granite samples"

Table 1

Parameter value of HJC model for white granite"

参数名称数值参数名称数值
密度ρ0/(kg·m-32 607锁定压力Pl/GPa3.47
准静态单轴抗压强度fc/MPa89.4锁定体积应变μl0.02
归一化内聚强度A0.3压实压力Pc/MPa29.8
归一化硬化压力B2.0压实体积应变μc2.1E-3
压力硬化指数N0.79压力常数K1/GPa116
应变率系数C0.003 6压力常数K2/GPa-243
最大拉伸静水压力T/MPa4.56压力常数K3/GPa506
剪切模量G/GPa9.88损伤常数D10.04
归一化最大强度Smax7损伤常数D21.0
断裂塑性应变EFMIN0.01准静态应变率EPS01.0

Table 2

Compression strength of white granite under different stain rates"

应变率压缩强度/MPa等效强度
10-489.41.00
121131.01.47
140139.01.56
155143.01.60

Fig.2

Partial schematic diagram of SHPB test model"

Fig.3

Strain signals of incident bar and transmitted bar(a)and stress balance diagram of sample(b)"

Fig.4

Comparison of true stress-strain curves obtained by laboratory test and numerical simulation under different strain rates"

Fig.5

Schematic diagram of grid layout in calculation model"

Fig.6

Schematic diagram of measuring point layout"

Fig.7

History pressure contours of target and attenuation law of peak pressure at each measuring point"

Fig.8

History damage contours of target at initial velocity of 250 m/s"

Fig.9

History damage contours of target at initial velocity of 500 m/s"

Fig.10

Comparison between simulated penetration depth of white granite and empirical formula"

Fig.11

Comparison of penetration depth between flat-nosed projectile and ogive-nosed projectile with same kinetic energy"

Fig.12

Comparison of final damage area of the target between flat-nosed projectile and ogive-nosed projectile with the initial velocity of 250 m/s"

Berard R S,1975.Deep penetration theory for homogeneous and layered targets[R].Vicksburg:Army Engineer Waterways Experiment Station.
Berard R S,1977.Empirical analysis of projectile penetration in rock[R].Vicksburg:Army Engineer Waterways Experiment Station.
Berard R S,1978.Depth and motion prediction for earth penetrators[R].Vicksburg:Army Engineer Waterways Experiment Station.
Deng Yongjun,Chen Xiaowei,Yao Yong,2020.Study on the cavity expansion response of the concrete target under penetration[J]. Scientia Sinica(Physica,Mechanica & Astronomica),50(2):34-51.
Fang Qin,Kong Xiangzhen,Wu Hao,al et,2014.Determination of Holmquist-Johnson-Cook constitutive model parameters of rock[J].Engineering Mechanics,31(3):197-204.
Forrestal M J,Altman B S,Cargile J D,al et,1994.An empirical equation for penetration depth of ogive-nose projectiles into concrete targets[J].International Journal of Impact Engineering,15(4): 395-405.
Forrestal M J,Luk V K,1992.Penetration into soil targets[J].International Journal of Impact Engineering,12(3):427-444.
Frew D J,Forrestal M J,Hanchak S J,2000.Penetration experiments with limestone targets and ogive-nose steel projectiles[J].Journal of Applied Mechanics,67(4):841-845.
Holmquist T J,Johnson G R,Cook W H,1993.A computational constitutive model for concrete subjected to large strains,high strain rates,and high pressures[C]//The International Symposium on Ballistics.Arlington:American Defense Preparedness Association:591-600.
Kuang Yuchun,Zhu Zhipu,Jiang Haijun,al et,2012. The experimental study and numerical simulation of single-particle impacting rock[J].Acta Petrolei Sinica,33(6):1059-1063.
Liu G R,Liu M B, 2005.Smoothed Particle Hydrodynamics: A Meshfree Particle Method[M].Han Xu,Yang Gang,Qiang Hongfu,transl.Changsha:Hunan University Press.
Livingston C W,Smith F L,1951.Bomb penetration projectile[R].Golden:Colorado School of Mines Research Foundation.
Ren G M,Wu H,Fang Q,al et,2017.Parameters of Holmquist-Johnson-Cook model for high-strength concrete-like materials under projectile impact[J].International Journal of Protective Structures,8(3):352-367.
Shen Jun,Liu Ruizhao,Yang Jianchao,al et,2008.Experimental and theoretical studies of projectile penetrating rocks[J].Chinese Journal of Rock Mechanics and Engineering,27(5):946-952.
Wang Mingyang,Deng Hongjian,Qian Qihu,2005. Study on problems of near cavity of penetration and explosion in rock[J]. Chinese Journal of Rock Mechanics and Engineering,24(16):62-66.
Wang Mingyang,Li Jie,Li Haibo,al et,2018.Dynamic compression behavior of rock and simulation of damage effects of hypervelocity kinetic energy bomb[J].Explosion and Shock Waves,38(6):1200-1217.
Wang Mingyang,Rong Xiaoli,Qian Qihu,al et,2003.Calculation principle for penetration and perforation of projectiles into rock[J]. Chinese Journal of Rock Mechanics and Engineering,22(11):1811-1816.
Wen Lei,Li Xibing,Wu Qiuhong,al et,2016.Study on parameters of Holmquist-Johnson-Cook model for granite porphyry[J].Chinese Journal of Computational Mechanics,33(5):725-731.
Young C W,1967.The development of empirical equation for prediction depth of an earth penetrating projectiles[R].Albuquerque:Sandia National Laboratories.
Young C W,1997.Penetration equations[R].Albuquerque:Sandia National Laboratories.
Zhang Dezhi,Lin Junde,Tang Rundi,al et,2006.An empirical equation for penetration depth of projectiles into high-strength rock targets[J].Acta Armamentarii,27(1):15-18.
Zhang Dezhi,Zhang Xiangrong,Lin Junde,al et,2005.Penetration experiments for normal impact into granite targets with high-strength steel projectile[J].Chinese Journal of Rock Mechanics and Engineering,24(9):1612-1618.
Zhao Jian,Wu Xianzhu,Han Liexiang,al et,2013.Study on new progress of particle impact drilling technology and rock breaking numerical simulation[J].Drilling & Production Technology,36(1):1-5,7.
Н Ханукаев A,1980.Physical process of mineral rock mass blasting[M].Liu Dianzhong,transl.Beijing:Metallurgical Industry Press.
邓勇军,陈小伟,姚勇,2020.钢筋混凝土靶侵彻过程中空腔膨胀响应分区研究[J].中国科学(物理学 力学 天文学),50(2):34-51.
方秦,孔祥振,吴昊,等,2014.岩石Holmquist-Johnson-Cook模型参数的确定方法[J].工程力学,31(3):197-204.
哈努卡耶夫A H,1980.矿岩爆破物理过程[M].刘殿中,译.北京:冶金工业出版社.
况雨春,朱志镨,蒋海军,等,2012.单粒子冲击破岩实验与数值模拟[J].石油学报,33(6):1059-1063.
Liu G R,Liu M B,2005.光滑粒子流体动力学:一种无网格粒子法[M].韩旭,杨刚,强洪夫,译.长沙:湖南大学出版社.
沈俊,刘瑞朝,杨建超,等,2008.弹体侵彻岩体效应试验与理论研究[J].岩石力学与工程学报,27(5):946-952.
王明洋,邓宏见,钱七虎,2005.岩石中侵彻与爆炸作用的近区问题研究[J].岩石力学与工程学报, 24(16):62-66.
王明洋,李杰,李海波,等,2018.岩石的动态压缩行为与超高速动能弹毁伤效应计算[J].爆炸与冲击,38(6):1200-1217.
王明洋,戎晓力,钱七虎,等,2003.弹体在岩石中侵彻与贯穿计算原理[J].岩石力学与工程学报,22(11):1811-1816.
闻磊,李夕兵,吴秋红,等,2016.花岗斑岩Holmquist-Johnson-Cook本构模型参数研究[J].计算力学学报,33(5):725-731.
张德志,林俊德,唐润棣,等,2006.高强度岩石侵彻经验公式[J].兵工学报,27(1):15-18.
张德志,张向荣,林俊德,等,2005.高强钢弹对花岗岩正侵彻的实验研究[J].岩石力学与工程学报,24(9):1612-1618.
赵健,伍贤柱,韩烈祥,等,2013.粒子钻井技术新进展与破岩数值模拟研究[J].钻采工艺,36(1):1-5,7.
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