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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     Next 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

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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-3）2 607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"

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