A Comparison of Damage Effectivenesses of Reinforced Concrete Beams by Single-point and Three-point Array Damage Patterns

doi:10.12382/bgxb.2023.0021

Abstract

Abstract:

The single-point and three-point array contact explosion tests and numerical simulations of reinforced concrete beams are investigated to obtain the destruction law and the gain effect of three-point array contact explosion. The local failure characteristics under the same total mass of explosives were observed, and the effects on the local damage effect under different damage patterns were analyzed. The results show that, when the total mass of explosives is the same, multiple blast compressive waves propagate inside the beam member during the explosion of the three-point array and occur a coupling enhancement effect, effectively enhancing the damage power. Four local damage patterns of front cratering, side breakdown, back collapsing and section punching occur in the three-point array damage, and three local damage patterns of front cratering, side breakdown and back collapsing occur in the single-point damage under the action of contact explosion load. Combined with the finite element simulation results, it is found that,the depth of destruction in the beam span is higher, but the damage area of blast-face decreases as the distance between the explosives decreases; and the damage area of blast-face increases, but the damage depth decreases accordingly as the quantity of explosives increases. This indicates that the damage of reinforced concrete beams under contact blast loads is not only related to the distance of charge array and the quantity of charges, but also to the mass of individual explosives in the array. The research results can provide a certain reference for studying the efficient damage of reinforced concrete beams and improving the utilization of explosive energy.

Key words: three-point array, contact explosion, reinforced concrete beam, local failure, damage pattern, dynamic response, numerical analysis

CLC Number:

O383

XIA Liu, WU Weichao, PAN Aigang, WANG Yafei, WANG Qiang, YAN Shen. A Comparison of Damage Effectivenesses of Reinforced Concrete Beams by Single-point and Three-point Array Damage Patterns[J]. Acta Armamentarii, 2023, 44(12): 3851-3861.

Figures/Tables 19

Fig.1 Structure sizes and reinforcing bars and location diagram of strain gauge and other sensors of beam

Table 1 Test conditions of reinforced concrete beams

工况编号	爆炸方式	放置位置	炸药数量/颗	单节点装药量/kg	药间距/mm	起爆方式
梁1	接触	顶部	1	1.5		单点起爆
梁2	接触	顶部	3	0.5	200	同时起爆

Fig.2 Top view of explosive placement position and layout of explosion test site

Fig.3 Failure modes of Beam 1 and Beam 2

Table 2 Comparison of damage characteristics

编号	爆炸坑深度/mm	混凝土最大破坏长度/mm	跨中位移/ mm	迎爆面钢筋最大水平位移/mm	迎爆面钢筋最大纵向位移/mm	暴露箍筋数量/ 根
梁1	270	960	32	80	45	4
梁2	400(贯穿)	1100	197	346	148	7

Fig.4 Strain variation process of different sections of Beam 1

Fig.5 Strain change

Fig.6 Acceleration change process diagram

Fig.7 Finite element model of reinforced concrete beam

Fig.8 Failure criteria for concrete material models[20]

Table 3 Numerical simulation material model and parameters

材料	本构模型	输入参数	数值
		泊松比	0.2
混凝土	*MAT_CONCRETE_DAMAGE_REL3(MAT_72)	密度/(g·cm^-3)	2.4
		混凝土强度/MPa	31
		泊松比	0.3
纵筋	*MAT_PLASTIC_KINEMATIC(MAT_003)	杨氏模量/GPa	200
		屈服应力/MPa	450
		极限应变	0.1
		泊松比	0.3
箍筋	*MAT_PLASTIC_KINEMATIC(MAT_003)	杨氏模量/GPa	200
		屈服应力/MPa	400
		极限应变	0.1
		密度/(g·cm^-3)	1.695
炸药	*MAT_HIGH_EXPLOSIVE_BURN(MAT_008)	爆速/(m·s^-2)	8300
		爆压/GPa	30

Fig.9 Comparison of test and numerically simulated damage results of Beam 1

Fig.10 Comparison of test and numerically simulated results of Beam 2

Fig.11 Comparison of test and numerically simulated accelerations

Table 4 Experiment and numerical simulation conditions of reinforced concrete beam

工况种类	编号	接触方式	炸药位置	炸药数量/颗	单节点装药量/kg	各爆点距离/m
试验工况	L1	接触	顶部	1	1.5
	L2	接触	顶部	3	0.5	0.2
	C1	接触	顶部	3	0.5	0.1
数值模拟	C2	接触	顶部	3	0.5	0.3
	C3	接触	顶部	2	0.75	0.2
	C4	接触	顶部	5	0.3	0.2

Fig.12 Comparison of beam damages at different blast distances

Fig.13 Comparison of beam accelerations at different blast distances

Fig.14 Comparison of beam damages at different blast numbers

Fig.15 Comparison of beam accelerations at different blast numbers

References 21

[1]	徐露萍, 李邦贵, 胡米. 国外高效毁伤技术简析[J]. 飞航导弹, 2010(12): 71-75.
	XU L P, LI B G, HU M. A brief analysis of foreign high-efficiency destruction technologies[J]. Flying missiles, 2010(12): 71-75. (in Chinese)
[2]	李含健, 朱鹤, 张强, 等. 2020年国外精确制导武器战斗部和引信技术发展分析[J]. 飞航导弹, 2021(2): 14-18.
	LI H J, ZHU H, ZHANG Q, et al. Analysis of the development of precision guided weapon warhead and fuze technology abroad in 2020[J]. Air Missile, 2021(2): 14-18. (in Chinese)
[3]	冯海云, 胡宏伟, 肖川, 等. 两点阵列爆炸威力场分布及增益研究[J]. 火炸药学报, 2020, 43(3): 345-350. doi: 10.14077/j.issn.1007-7812.201911014
	FENG H Y, HONG H W, XIAO C, et al. Research on the blast power field distribution and gain of two-point array explosion[J]. Chinese Journal of Explosives & Propellants, 2020, 43(3): 345-350. (in Chinese)
[4]	MENG Z F, CAI X Y, MING F R, et al. Study on the pressure characteristics of shock wave propagating across multilayer structures during underwater explosion[J]. Shock and Vibration, 2019, 2019: 9026214.
[5]	XI H Z, KONG D R, LE G G, et al. Space conversion model of peak overpressure in near-earth air blast shockwave with cylindrical charge[J]. Chinese Journal of High Pressure Physics, 2021, 35(3): 032301.
[6]	胡宏伟, 王健, 冯海云, 等. 多点水中阵列爆炸冲击波的传播特性[J]. 含能材料, 2021, 29(5): 370-380.
	HU H W, WANG J, FENG H Y, et al. The propagation characteristics of shock wave for muti-charge underwater array explosion[J]. Chinese Journal of Energetic Materials, 2021, 29(5): 370-380. (in Chinese)
[7]	胡宏伟, 宋浦, 郭炜, 等. 地面爆炸冲击波的相互作用[J]. 高压物理学报, 2014, 28(3): 353-357.
	HU H W, SONG P, GUO W, et al. The interaction of shock waves in ground burst[J]. Chinese Journal of High Pressure Physics, 2014, 28(3): 353-357. (in Chinese)
[8]	林尚剑, 王金相, 马腾, 等. 水下多点爆炸冲击波叠加效应研究[J]. 兵工学报, 2020, 41(增刊1):39-45.
	LIN S J, WANG J X, MA T, et al. Study on the superposition effect of underwater multi-point explosion shock wave[J] Acta Armamentarii, 2020, 41(S1): 39-45. (in Chinese)
[9]	孙百连, 顾文彬, 蒋建平, 等. 浅层水中沉底的两个装药爆炸的数值模拟研究[J]. 爆炸与冲击, 2003, 23(5): 460-465.
	SUN B L, GU W B, JIANG J P, et al. Numerical simulation of explosion shock wave interaction in shallow water[J]. Explosion and Shock Wave, 2003, 23(5): 460-465. (in Chinese)
[10]	闫俊伯, 刘彦, 李臻, 等. 箍筋间距和轴压比对爆炸载荷作用下钢筋混凝土柱动态响应的影响[J]. 兵工学报, 2020, 41(增刊2): 35-43.
	YAN J B, LIU Y, LI Z, et al. Effects of transverse reinforcement ratio and axial load on the blast response of steel reinforced concrete columns[J]. Acta Armamentarii, 2020, 41(S2): 35-43. (in Chinese)
[11]	汪剑辉, 吕林梅, 尚伟, 等. 接触爆炸载荷下钢筋混凝土梁的毁伤特性研究[J]. 防护工程, 2020, 42(2): 22-27.
	WANG J H, L Ü L M, SHANG W, et al. Study of damage characteristics of reinforced concrete beams under contact explosion load[J]. Protective Engineering, 2020, 42(2): 22-27. (in Chinese)
[12]	汪维, 刘瑞朝, 吴飚, 等. 爆炸荷载作用下钢筋混凝土梁毁伤判据研究[J]. 兵工学报, 2016, 37(8): 1421-1429. doi: 10.3969/j.issn.1000-1093.2016.08.012
	WANG W, LIU R C, WU B, et al. Damage criteria of reinforced concrete beams under blast loading[J]. Acta Armamentarii, 2016, 37(8): 1421-1429. (in Chinese) doi: 10.3969/j.issn.1000-1093.2016.08.012
[13]	刘家绮. 多点爆炸下地铁隧道衬砌结构动力响应及损伤研究[D]. 西安: 西安工业大学, 2020.
	LIU J Q. Research on dynamic response and damage of subway tunnel lining structure under multi-point explosion[D]. Xi’an: Xi’an University of Technology, 2020. (in Chinese)
[14]	张波. 高强钢带加固钢筋混凝土结构受力性能与设计方法研究[D]. 西安: 西安建筑科技大学, 2020.
	ZHANG B. Research on mechanical performance and design method of reinforced concrete structures strengthened with high-strength steel strips[D] Xi’an: Xi’an University of Architecture and Technology, 2020. (in Chinese)
[15]	刘绍华, 刘宗贤, 李森. 表板不等厚钢板混凝土梁的抗爆分析[J]. 黑龙江大学自然科学学报, 1995, 12(1): 71-74.
	LIU S H, LIU Z X, LI S. The anti-blast analysis for the composite steel-concrete beams with surface layers of nonequal thicknesses[J]. Journal of Natural Science of Heilongjiang University, 1995, 12(1):71-74. (in Chinese)
[16]	蔡林刚, 杜志鹏, 李晓彬, 等. 爆炸冲击波与破片联合作用下泡沫夹芯板的毁伤特性研究[J]. 武汉理工大学学报(交通科学与工程版), 2020, 44(2): 316-320.
	CAI L G, DU Z P, LI X B, et al. Study on damage characteristics of foam sandwich panel under combined action of explosion shock wave and fragments[J]. Journal of Wuhan University of Technology (Transportation Science and Engineering Edition), 2020, 44(2): 316-320. (in Chinese)
[17]	贾昊凯, 吴桂英. H型钢梁在爆炸荷载作用下的动力响应及破坏模式研究[J]. 重庆建筑, 2012, 11(1): 29-33.
	JIA H K, WU G Y. On dynamic response and failure mode of H-section steel beam under blast load[J]. Chongqing Architecture, 2012, 11(1):29-33. (in Chinese)
[18]	LS-DYNA R11.0. Keyword user’s manual Volume I[M]. LivermoreCA, US: Livermore Software Technology Corporation, 2018.
[19]	LI J, HAO H. Numerical study of concrete spall damage to blast loads[J]. International Journal of Impact Engineering, 2014, 68:41-55. doi: 10.1016/j.ijimpeng.2014.02.001 URL
[20]	张传爱, 方秦, 陈力. 对DYNA3D中K&C混凝土模型的探讨[J]. 工业建筑, 2010, 40(增刊1): 288-292.
	ZHANG C A, FANG Q, CHEN L. Discussion on K&C concrete model in DYNA3D[J]. Industrial Building, 2010, 40 (S1): 288-292. (in Chinese)
[21]	师燕超, 李绍琦, 李忠献, 等. 基于实测频率的钢筋混凝土柱爆炸损伤快速评估方法[J]. 建筑结构学报, 2021(11): 155-164.
	SHI Y C, LI S Q, LI Z X, et al. Rapid evaluation method for blast damage of reinforced concrete columns based on measured frequency[J]. Journal of Building Structures, 2021(11): 155-164. (in Chinese)