Numerical Simulation of Penetration in Concrete Sheet Based on SPH Method
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摘要: 随着混凝土结构强度的不断提高，越来越多的防护工事选择混凝土作为主要建筑材料。在光滑粒子流体动力学方法的基础上，提出了TCK-HJC复合本构模型，对锥形弹刚性侵彻过程中混凝土薄板的变形损伤进行数值模拟，采用拟流体模型处理失效的混凝土碎片，分析了不同侵彻角（0°，60°）下锥形弹侵彻混凝土薄板的变形过程，得到了薄板的压力分布以及失效混凝土碎片的飞散角度，并与实验进行对比。结果表明，数值模拟方法是合理的，为进一步研究脆性材料的力学性能奠定了技术基础。
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关键词:
- 混凝土 /
- TCK-HJC复合本构模型 /
- 光滑粒子流体动力学方法 /
- 脆性材料
Abstract: As the continuous improvement of the strength of concrete structure, more and more protective fortifications have chosen concrete as the main building material. On the basis of the smooth particle hydrodynamics method, the TCK-HJC composite constitutive model is proposed to simulate the deformation damage of the concrete target during the penetration process of the rigid conical projectile, and the pseudo-fluid model is used to describe the failed concrete fragments. The deformation process of the conical projectile penetrating into the concrete target under different penetration angles (0°, 60°) were analyzed, and the pressure on the surface of the target was also obtained. The scattering angles of the broken concrete fragments were obtained, and the comparison with experiment shows the simulation result is robust and accurate, which lays a technical foundation for further simulation of the mechanical properties of brittle materials. -
图 4 锥形弹侵彻混凝土薄板的数值模型
Figure 4. Numerical model of conical projectile penetrating concrete slab
图 5 锥形弹正侵彻混凝土薄板过程
Figure 5. Process diagram of conical projectile penetrating concrete slab
图 6 数值模拟与力学模型的对比
Figure 6. Comparison between numerical simulation and mechanical model
图 7 混凝土薄板贯穿孔洞的实验和数值模拟结果对比
Figure 7. Comparison of experimental results and numerical simulation of hole penetrations in concrete sheet
图 8 正侵彻过程中混凝土薄板表面压力分布
Figure 8. Pressure distribution of concrete during positive penetration
图 9 锥形弹斜侵彻混凝土薄板过程图
Figure 9. Process diagram of conical projectile obliquely penetrating concrete slab
图 10 斜侵彻过程中混凝土薄板表面压力分布
Figure 10. Surface pressure distribution of concrete during oblique penetration
图 11 失效混凝土碎片的飞散情况对比
Figure 11. SPH simulation results after conical projectile penetrating concrete slab
表 1 混凝土的状态方程和本构方程参数
Table 1. Parameters of equation-of-state equation and constitutive equation of concrete
G/GPa $ \rho $/(kg·m–3) $A$ $B $ $ N $ $ {\dot \varepsilon _0} $/s–1 $ C $ $ {f'_{\rm{c}}} $/MPa $ {S_{\max }} $ 14.8 2450 0.79 1.6 0.61 1.0 0.007 48 7.0 pl/MPa pc/MPa $ {\varepsilon _{\rm{f}}}$ $ {\mu _{\rm{c}}}$ $ {D_1} $ $ {D_2} $ $ {\mu _{{1}}} $ T/MPa K1/GPa 800 16.0 0.01 0.001 0.04 1.0 0.1 5 85 K2/GPa K3/GPa $v $ $\;\beta $ K/(1026 m–3) m $ {K_{{\rm{IC}}}}$/(MPa·m1/2) –171 208 0.27 0.5 1.1452 6 2.758 
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