LDPM numerical analysis of hard projectile penetration in thick plain concrete target response
FENG Jun1,2LIWen-bin1XULei 3 CHENYu 1 CHENXi 4
1. National Key Laboratory of Transient Physics, Nanjing University of Science & Technology, Nanjing 210094, China;
2. School of Mechanical Engineering, Nanjing University of Science & Technology, Nanjing 210094, China;
3. College of Water Conservancy & Hydropower Engineering, Hohai University, Nanjing 210098, China;
4. Department of Artillery Reconnaissance, Nanjing Artillery Academy, Nanjing 211132, China
Based on a mesoscale discrete method titled Lattice Discrete Particle Model (LDPM), this work established a numerical simulation model for plain concrete thick target penetration. A brief introduction of LDPM basic assumptions and mesoscale constitutive laws was presented, which was followed by LDPM parameters calibration according to the hydrostatic compression and triaxial compression tests data. The proposed numerical model was validated for the concrete penetration problem in terms penetration depth and projectile deceleration curves during penetration process. With the calibrated LDPM parameters for 23 MPa strength concrete, this paper derived the penetration resistive force by conducting LDPM deep penetration simulations. Combining the Forrestal equation, the target static resistance was then obtained which indicates that either the CRH nor the penetration velocity hardly affects the target static resistance, meanwhile projectiles with 3 times, 6 times and 8 times maximum aggregate size suffer 260 MPa, 175 MPa, 163 MPa target static resistance.
[1] 张雄, 廉艳平, 刘岩, 等. 物质点法[M]. 北京: 清华大学出版社, 2013.
[2]Durban D, Masri R. Dynamic spherical cavity expansion in a pressure sensitive elastoplastic medium[J]. International Journal of Solids & Structures, 2004, 41(41):5697-5716.
[3] 刘志林,孙巍巍,王晓鸣,等. 基于盖帽模型的混凝土动态球形空腔膨胀模型和侵彻阻力分析[J]. 兵工学报,2015, 36(12): 2209-2216.
LiuZhi-lin, SunWei-wei, WangXiao-ming, et al. Spherical cavity-expansion model for concrete targets based on Cap model and penetration resistance analysis[J]. Acta Armamentarii, 2015, 36(12): 2209-2216.
[4] Feng J, Li W B, Pan G W, et al. Cavitation analysis of spherical shock wave evolution in concrete medium[J]. ActaMechanica, 2016: 1-14.
[5] Kirane K, Su Y, Bažant Z P. Strain-rate-dependent microplane model for high-rate comminution of concrete under impact based on kinetic energy release theory[C]//Proc. R. Soc. A. The Royal Society, 2015, 471(2182): 20150535.
[6]顾鑫, 章青, 黄丹. 基于近场动力学方法的混凝土板侵彻问题研究[J]. 振动与冲击, 2016, 35(6):52-58.
Gu Xin, Zhang Qing, Huang Dan, Peridynamics used in solving penetration problem of concrete slabs[J]. Journal of vibration and shock, 2016, 35(6):52-58.
[7] 刘志林,孙巍巍,王晓鸣. 基于颗粒流离散元模型的弹丸侵彻细观混凝土数值模拟方法研究[J]. 振动与冲击,2016,35(4):162-169.
LiuZhi-lin, SunWei-wei, WangXiao-ming. Numerical simulation for projectile penetrating meso-scale concrete based on particle flow discrete element model [J]. Journal ofvibration and shock, 2016, 35(4): 162-169.
[8] Shiu W, Donzé F V, Daudeville L. Penetration prediction of missiles with different nose shapes by the discrete element numerical approach[J]. Computers & Structures, 2008, 86(21): 2079-2086.
[9] 陈俊, 黄晓明. 基于三维离散元法的沥青混合料断裂过程模拟[J]. 华南理工大学学报:自然科学版, 2012, 40(7):21-26.
Chen Jun, Huang Xiao-ming. Simulation of fracture process of asphalt mixture using three-dimension discrete element method[J]. Journal of south China university of technology (Nature science edition), 2012, 40(7):21-26.
[10] 杨利福, 常晓林, 周伟,等. 基于变形离散元法的重力坝地震开裂分析[J]. 振动与冲击, 2016, 35(7).
Yang Li-fu, Chang Xiao-lin, Zhou Wei, et al. Seismic cracking analysis of a gravity dam based on deformable discrete element method[J]. Journal ofvibration and shock,2016, 35(7).
[11] Cusatis G, Pelessone D, Mencarelli A. Lattice Discrete Particle Model (LDPM) for failure behavior of concrete. I: Theory[J]. Cement and Concrete Composites, 2011,33(9): 881-890.
[12] Cusatis G, Mencarelli A, Pelessone D, et al. Lattice Discrete Particle Model (LDPM) for failure behavior of concrete. II: Calibration and validation[J]. Cement and Concrete composites, 2011,33(9): 891-905.
[13] Smith J, Cusatis G, Pelessone D, et al. Discrete modeling of ultra-high-performance concrete with application to projectile penetration[J]. International Journal of ImpactEngineering, 2014,65: 13-32.
[14] FengJ, SunW, LiuZ, et al. An armour-piercing projectile penetration in a double-layered target of ultra-high-performance fiber reinforced concrete and armour steel: Experimental and numerical analyses[J]. Materials & Design, 2016, 102: 131-141.
[15] WanL, WendnerR, LiangB,et al.Analysis of the behavior of ultra high performance concrete at early age[J]. Cement and Concrete Composites, 2016, 74: 120-135.
[16] G. Cusatis, E. Schauffert, Discontinuous cell method (DCM) for cohesive fracturepropagation, in: Proceedings of the 7th International Conference onFracture Mechanics of Concrete and Concrete Structures (FraMCos 7), KoreaConcrete Institute, Jeju, South Korea, 2010, pp. 23e28.
[17] Rezakhani R,Cusatis G. Asymptotic expansion homogenization of discrete fine-scale models with rotational degrees of freedom for the simulation of quasi-brittle materials[J]. Journal of the Mechanics and Physics of Solids, 2016, 88: 320-34.
[18]Cusatis G. Strain-rate effects on concrete behavior[J]. International Journal of Impact Engineering, 2011, 38(4):162-170.
[19]Warren T L, Fossum A F, Frew D J. Penetration into low-strength (23MPa) concrete: target characterization and simulations[J]. International Journal of Impact Engineering, 2004, 30(5): 477-503.
[20]Forrestal M J, Frew D J, Hickerson J P, et al. Penetration of concrete targets with deceleration-time measurements[J]. International Journal of Impact Engineering, 2003, 28(5): 479-497.
[21] Frew D J, Hanchak S J, Green M L, et al. Penetration of concrete targets with ogive-nose steel rods[J]. International Journal of Impact Engineering, 1998, 21(6):489-497.
[22]FengJ, LiW, WangX, et al. Dynamic spherical cavity expansion analysis of rate-dependent concrete material with scale effect [J]. International Journal of Impact Engineering, 2015, 84: 24-37.