Non-ordinary State-based Peridynamic Simulation of Damage and Failure Process of Polymer Bonded Explosives

doi:10.3969/j.issn.1000-1093.2018.05.008

Abstract

Abstract: The dynamic relaxation method for obtaining the steady-state solutions of equilibrium equations in non-ordinary state-based peridynamic theory is studied. The hourglass force is incorporated to suppress the zero-energy modes. In the foundation of considering the influence of damage on force state, an influence function damage defining method is proposed, in which the effects of damage on approximate deformation gradient and shape tensor are calculated. Therefore, the problem of stress release in damaged region is overcome. The non-ordinary state-based peridynamic theory is applied to the simulation of damage and failure behaviors of polymer bonded explosives in Brazilian disc experiment. It shows that the simulated results of the modified method are in better accordance with the experimental results.Key

Key words: polymerbondedexplosive, peridynamics, damage, zero-energymode

CLC Number:

TQ564.4⁺2

LI Pan, HAO Zhi-ming, LIU Yong-ping, ZHEN Wen-qiang. Non-ordinary State-based Peridynamic Simulation of Damage and Failure Process of Polymer Bonded Explosives[J]. Acta Armamentarii, 2018, 39(5): 893-900.

References

［1］黄丹, 章青, 乔丕忠, 等. 近场动力学方法以及应用[J].力学进展, 2010, 40(4): 448-459.
HUANG Dan, ZHANG Qing, QIAO Pi-zhong, et al. A review on peridynamics method and its applications[J]. Advances in Mechanics, 2010, 40(4):448-459. (in Chinese)
[2］ Gerstle W, Sau N, Silling S A. Peridynamic modeling of concrete structures[J]. Nuclear Engineering and Design, 2007, 237(12/13):1250-1258.
[3］ Silling S A. Reformulation of elasticity theory for discontinuities and long-range forces[J]. Journal of the Mechanics and Physics of Solids, 2000, 48(1):175-209.
[4］ Silling S A, Epton M, Weckner O, et al. Peridynamic states and constitutive modeling[J]. Journal of Elasticity, 2007, 88(2):151-184.
[5］ Breitenfeld M S, Geubelle P H, Weckner O, et al. Non-ordinary state-based peridynamic analysis of stationary crack problems[J]. Computer Methods in Applied Mechanics and Engineering, 2014, 272(11):233-250.
[6］ Silling S A. Stability of peridynamic correspondence material models and their particle discretizations[J]. Computer Methods in Applied Mechanics and Engineering,2017, 322(15):42-57.
[7］ Foster J T, Silling S A, Chen W W. Viscoplasticity using peridynamics[J]. International Journal for Numerical Methods in Engineering, 2010, 81(10):1242-1258.
[8］ Foster J T. Dynamic crack initiation toughness: experiments and peridynamic modeling[D]. Lafayette, IN, US: Puedue University, 2009.
[9］ Tupek M R, Rimoli J J, Radovitzky R. An approach for incorporating classical continuum damage models in state-based peridynamics[J]. Computer Methods in Applied Mechanics and Engineering,2013, 263(24):20-26.

[10］ Fan H, Bergel G L, Li S. A hybrid peridynamics-SPH simulation of soil fragmentation by blast loads of buried explosive[J]. International Journal of Impact Engineering, 2016, 87(1):14-27.
[11］ Lai X, Ren B, Fan H F, et al. Peridynamics simulations of geomaterial fragmentation by impulse loads[J]. International Journal for Numerical and Analytical Methods in Geomechanics, 2015, 39(12):1304-1330.
[12］ Ren B, Fan H F, Bergel G L, et al. A peridynamics-SPH coupling approach to simulate soil fragmentation induced by shock waves[J]. Computational Mechanics, 2015, 55(2):287-302.
[13］ Zhou X P, Wang Y T, Xu X M. Numerical simulation of initiation, propagation and coalescence of cracks using the non-ordinary state-based peridynamics[J]. International Journal of Fracture, 2016, 201(2):213-234.
[14］ Zhou X P, Wang Y T, Qian Q H. Numerical simulation of crack curving and branching in brittle materials under dynamic loads using the extended non-ordinary state-based peridynamics[J]. European Journal of Mechanics A/Solids, 2016, 60(5):277-299.
[15］ Zhou X P, Wang Y T. Numerical simulation of crack propagation and coalescence in pre-cracked rock-like Brazilian disks using the non-ordinary state-based peridynamics[J]. International Journal of Rock Mechanics and Mining Sciences, 2016, 89(5):235-249.
[16］ Wang Y T, Zhou X P, Xu X. Numerical simulation of propagation and coalescence of flaws in rock materials under compressive loads using the extended non-ordinary state-based peridynamics[J]. Engineering Fracture Mechanics, 2016, 163(20):248-273.
[17］谷新保. 近场动力学理论及其在岩石类材料变形过程的数值模拟[D].重庆: 重庆大学, 2015.
GU Xin-bao. Peridynamic theory and its numerical simulation in the deformation and damage process of the rock-like materials[D]. Chongqing: Chongqing University, 2015. (in Chinese)
[18］黄西成, 李尚昆, 魏强, 等. 基于XFEM与Cohesive模型分析PBX裂纹产生与扩展[J]. 含能材料, 2017, 25(8):694-700.
HUANG Xi-cheng, LI Shang-kun, WEI Qiang, et al.Analysis of crack initiation and growth in PBX energetic material using XFEM-based cohesive method[J]. Chinese Journal of Energetic Materials, 2017, 25(8):694-700. (in Chinese)
[19］王竟成, 罗景润. 不同细观力学方法预测高聚物粘结炸药有效弹性模量的比较[J]. 兵工学报, 2017, 38(6):1106-1112.
WANG Jing-cheng, LUO Jing-run. Comparison of effective moduli of polymer bonded explosive predicted by different micromechanical methods[J]. Acta Armamentarii, 2017, 38(6):1106-1112. (in Chinese)
[20］ Kilic B. Peridynamic theory for progressive failure prediction in homogeneous and heterogeneous materials[D]. Ann Arbor, MI, US: The University of Arizona, 2008.
[21］ Kilic B, Agwai A, Madenci E. Peridynamic theory for progressive damage prediction in center-cracked composite laminates[J]. Composite Structures, 2009, 90(2): 141-151.
[22］ Tan H, Liu C, Huang Y, et al. The cohesive law for the particle/matrix interfaces in high explosives[J]. Journal of the Mechanics and Physics of Solids, 2005, 53(8):1892-1917.
[23］ Liu C, Brownign R. Fracture in PBX 9501 at low rates[C]∥Proceedings of the 12th International Detonation Symposium. San Diego, CA, US: Office of Naval Research, 2002: 11-16.
[24］ Zhou Z B, Chen P W, Guo B Q, et al. Quasi-static tensile deformation and fracture behavior of a highly particle-filled compo-site using digital image correlation method[J]. Theoretical and Applied Mechanics Letters, 2011(5):10-13.
[25］ Liu C, Thompson D G. Macroscopic crack formation and extension in pristine and artificially aged PBX 9501[R]. Santa Fe, NM, US: Los Alamos National Laboratory, 2010.

第39卷
第5期2018 年5月兵工学报ACTA
ARMAMENTARIIVol.39No.5May2018

[1]	WANG Ge， ZHANG Chun， LIN Zhiwei， WANG Baohua， TAN Hu， CHEN Chen. Research on's Opening Distance of AHEAD Ammunition [J]. Acta Armamentarii, 2022, 43(S1): 115-120.
[2]	XUE Shaohui， FAN Ji， TANG Xu， CHEN Xiaoming， WANG Fengge， HOU Yong， ZENG Yuyun. Density Analysis of UAV Damage Element Based on Vertebral Space [J]. Acta Armamentarii, 2022, 43(S1): 133-139.
[3]	DENG Liyuan, YANG Ping, LIU Weidong, WANG Jiangpeng. Application in Damage Effect Evaluation of Early Warning Radar of Cloudy Bayesian Network Based on Dempster Shafer/AnalyticHierarchy Process Method [J]. Acta Armamentarii, 2022, 43(4): 814-825.
[4]	LUO Liang， PEI Yang， HOU Peng， ZHANG Mengtao， LI Mingsuo. Prediction Model for Ignition Probability Function of Ullage in Aircraft Fuel Tank [J]. Acta Armamentarii, 2022, 43(2): 383-390.
[5]	XIONG Manman, YAN Wenmin, XU Cheng, QIN Bin, MA Xuejiao. Ballistic Damage Characteristics of Cowhide as Skin Surrogate [J]. Acta Armamentarii, 2022, 43(1): 29-36.
[6]	WANG Cheng， YANG Jingyu， CHI Liyuan， WANG Wanli， CHEN Tainian. On the Blast Resistance Performance of Large-scale Reinforced Concrete Wall [J]. Acta Armamentarii, 2022, 43(1): 131-139.
[7]	LI Mei, WANG Luyao, JIANG Jianwei. Comparison of Released Energy and Coupling Damageability of Typical Reactive Alloy under High-speed Impact on Target [J]. Acta Armamentarii, 2021, 42(9): 1867-1876.
[8]	CHEN Chunyan， WANG Xiaofeng， NAN Hai. Curing Reaction Kinetics and Process of PBX-based ATP [J]. Acta Armamentarii, 2021, 42(9): 1888-1894.
[9]	ZHANG Baozhen, WANG Hanping, DOU Jianzhong, CHENG Mengwen. Fluid-structure Coupling Simulation Method for the Opening Process of Fragile Front Cover of Canister Launcher [J]. Acta Armamentarii, 2021, 42(8): 1660-1669.
[10]	CHENG Yuansheng， XIE Jieke， LI Zhe， LIU Jun， ZHANG Pan. Damage Response Characteristics of UHMWPE/aluminum Foam Composite Sandwich Panel Subjected to CombinedBlast and Fragment Loadings [J]. Acta Armamentarii, 2021, 42(8): 1753-1762.
[11]	WANG Mengxin， CHEN Ruiying， WANG Jinxiang. Protective Properties of Porous Foam Aluminum Sandwich Composite Plate under the Combined Action of Fragment and ShockWave [J]. Acta Armamentarii, 2021, 42(5): 1041-1052.
[12]	LI Xin, WANG Weili, LIANG Zhengfeng, CHEN Jin, CHEN Yuanjian. Damage Effect of Composite Structural Reactive Fragments on Double-layer Targets [J]. Acta Armamentarii, 2021, 42(4): 764-772.
[13]	LI Liang， FENG Yongbao, MA Changlin, XIA Wenlong. Model and Characteristics of Jet Flow Erosion Damage to Silencer Layer in Silo Launching Process of Rocket [J]. Acta Armamentarii, 2021, 42(4): 798-807.
[14]	LIU Wensi, LU Yue, ZHOU Qingfei, CHENG Suqiu. Complex Load of Torpedo Near-field Explosion and Its Damage Mode to Ships [J]. Acta Armamentarii, 2021, 42(4): 842-850.
[15]	LIU Fei， WANG Huiming， YAN Luhui， LI Huanqiu. Damage Effect of Shallow Buried Civil Air Defense Engineering Structures under Nearby Blast Loading [J]. Acta Armamentarii, 2021, 42(3): 625-632.