Explosive Damage Law and Rapid Calculation Model for RC Bridge Piers

doi:10.12382/bgxb.2024.0966

Abstract

Abstract:

For the prediction of damage effect of reinforced concrete (RC)bridge piers subjected to explosion,the effects of explosive equivalent,explosion distance,explosion height,pier diameter,longitudinal reinforcement rate,hoop reinforcement rate,axial compression ratio and other parameters on the damage pattern and residual bearing capacity of RC bridge piers are discussed in detail through numerical simulation,and the damage law and residual bearing performance of a typical land-based RC bridge pier under the action of explosion load are obtained.As the explosion height increases,the ground reflection effect is weakened so that the residual bearing capacity increases,and an appropriate increase in the axial compression ratio can enhance the residual bearing capacity of bridge pier.By using the sub-coefficient method and taking the residual bearing capacity of RC bridge piers after explosion as an indicator,a formula considering a wide range of explosion parameters,the bridge pier component parameters and the initial stress state is proposed for calculating the damage effect of round RC bridge piers,which can quickly predict the damage of typical bridge piers subjected to explosion.

Key words: bridge pier, damage effect, numerical simulation, residual bearing capacity, rapid prediction

JIANG Haojie, PENG Yong, SUN Yuyan, WANG Ziguo, XU Jiapei. Explosive Damage Law and Rapid Calculation Model for RC Bridge Piers[J]. Acta Armamentarii, 2024, 45(S2): 305-316.

Figures/Tables 27

Fig.1 Finite element model

Table 1 Concrete material model parameters

密度/(kg·m^-3)	泊松比	抗压强度/MPa
2400	0.3	40

Table 2 Reinforcing steel material model parameters

密度/ (kg·m^-3)	弹性模量/ GPa	泊松比	屈服应力/ MPa	C/s^-1	P
7800	160/180	0.3	400/300	40	5

Table 3 TNT material model parameters

密度/ (kg·m^-3)	爆速/ (m·s^-1)	爆压/ GPa	A/ GPa	B/ GPa	R₁	R₂	ω	e₀/ (J·m^-3)
1630	6930	21	373.8	3.747	4.15	0.9	0.35	7×10⁹

Table 4 Air material model parameters

密度/ (kg·m^-3)	E₀/ (J·m^-3)	C₀,C₁,C₂, C₃,C₆,	C₄,C₅,
1.29	6930	0	0.4

Fig.2 Schematic diagram of RC bridge pier[13]

Fig.3 Test setup and modeling[13]

Fig.4 Comparison of pier damage test results and numerically simulated results

Fig.5 Comparison of axial residual bearing capacities

Fig.6 Damage and failure patterns of bridge piers with different explosive equivalents

Fig.7 Axial force-displacement curves of bridge piers with different explosive equivalents

Fig.8 Damage and failure patterns of bridge piers with different explosion distances

Fig.9 Axial force-displacement curves of bridge piers with different explosion distances

Fig.10 Damage and failure patterns of bridge piers with different explosion heights

Fig.11 Axial force-displacement curves of bridge piers with different explosion heights

Fig.12 Damage and failure patterns of bridge piers with different diameters

Fig.13 Axial force-displacement curves of bridge piers with different diameters

Fig.14 Damage and failure patterns of bridge piers with different longitudinal reinforcement ratios

Fig.15 Axial force-displacement curves of bridge piers with different longitudinal reinforcement ratios

Fig.16 Damage and failure patterns of bridge piers with different hoop reinforcement ratios

Fig.17 Axial force-displacement curves of bridge piers with different hoop reinforcement ratios

Fig.18 Damage and failure patterns of bridge piers with different axial pressure ratios

Fig.19 Axial force-displacement curves of bridge piers with different axial pressure ratios

Fig.20 Blast distance-explosive charge-residual bearing capacity indicator DZ

Fig.21 Influence of variables on residual bearing capacity indicator D

Fig.22 Typical numerically simulated results versus predicted results

Table 5 Comparison of predicted results and experi mental results

工况	公式预测	试验结果	相对误差/%
A-0.5	0.75	0.85	-12
A-1.0	0.57	0.43	+33
A-2.0	0.24	0.27	-11

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