A Comparative Study on the Finite Element Models for Projectiles Perforation into Reinforced Concrete Slabs
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摘要: 为研究钢筋对混凝土靶侵彻作用的影响，基于混合物理论，建立了钢筋混凝土的等效混合物模型，同时还建立了将钢筋等效为钢板和素混凝土板的有限元模型，并通过弹体贯穿剩余速度、靶体压力场对两种方法进行比较，分析侵彻作用过程。计算结果表明：基于混合物理论的等效钢筋混凝土混合物模型能够较好地反映侵彻时钢筋的作用，既可以满足计算精度，又能够简化建模过程，提高计算效率，是进行侵彻数值分析的有效简化方法；钢筋混凝土板自由表面附近的钢筋分布能够提高靶对弹体的阻力，但其作用效果有限。Abstract: In order to study the rebar effect on perforation into concrete targets, the equivalent mixture model of reinforced concrete is established based on the mixture theory. Meanwhile, the model of steel equivalent to steel plate and the plain concrete slab model are given. The residual velocities, the pressure fields and perforation processes for the two models are compared. The results show that the equivalent reinforced concrete mixture model based on mixture theory can better reflect the rebar effect during the penetration, which can not only meet the calculation accuracy, but also simplify the modeling process and improve the calculation efficiency. It is an effective simplified method for numerical analysis of penetration. The distribution of rebar near the free surface of reinforced concrete slab can improve the resistance of target to projectile, but its role is limited.
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Key words:
- reinforced concrete /
- mixture theory /
- perforation /
- finite element analysis
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图 1 钢筋混凝土靶板(a)和等效混合物模型(b)
Figure 1. Reinforced concrete slab target (a) and the equivalent mixture model (b)
图 3 素混凝土板上表面的损伤变化
Figure 3. Damage evolution process on the upper surface of the plain concrete slab
图 4 弹体贯穿过程
Figure 4. Penetration process of projectiles into reinforced concrete slabs
表 1 钢筋、混凝土及混合物的材料参数
Table 1. Material parameters of rebar, concrete and their mixture
Materials ${\,\rho }$0/(g·cm−3) c0/(km·s−1) s0 Ys/GPa G/GPa ${\gamma }$0 $ {V{_1}} $($ {V{_2}} $) Rebar 7.85 4.57 1.49 0.32 790.0 2 0.2 Concrete 2.20 2.33 1.51 0.08 1.7 2 0.8 Mixture 3.33 2.58 1.50 0.13 2.1 2 
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表 2 钢筋混凝土贯穿实验与数值计算结果
Table 2. Experimental and numerical simulation results for perforation into reinforced concrete slabs
Target No. Models Impact velocity/(m·s–1) Perforation velocity/(m·s–1) Deviation/% Exp. Sim. 1 Mixture equivalent slab 300 93 106 13 2 Steel layers equivalent slab 300 93 100 8 3 Plain concrete slab 300 116 129 12
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