摘要:
为建立考虑长径比影响的混凝土中柱形装药爆炸应力波时程曲线简化计算方法,本文基于改进的Kong-Fang混凝土本构模型与多物质ALE算法,开展了不同长径比柱形装药在混凝土中爆炸的数值模拟研究。重点讨论了不同比例爆距下峰值应力衰减规律、升压时间和等冲量作用时间的演化规律。结果表明:峰值应力在各破坏分区内遵循幂函数衰减规律,随长径比增大,衰减指数显著上升,衰减系数下降,破裂区范围扩大;升压时间在爆炸近区随测点距离线性增长,进入破裂区后趋于稳定;等冲量作用时间在爆炸近区随距离线性增加,在破裂区则呈下降趋势,反映了混凝土损伤对应力波传播的影响。基于等冲量原则,提出适用于工程抗爆分析的等效三角形应力波简化方法,并分区段拟合推导出考虑长径比影响的峰值应力、升压时间及等冲量作用时间的实用化计算公式,为混凝土中柱形装药内部爆炸作用下应力波的工程计算提供参数确定方法。
Abstract:
To establish a simplified calculation method for the explosion stress wave time-history curve induced by cylindrical charge explosions in concrete considering the influence of aspect ratio, this paper presents a numerical simulation study on cylindrical charges with varying aspect ratios detonated in concrete. The study is based on an enhanced version of the Kong-Fang concrete constitutive model and the multi-material ALE algorithm, following validation of the model’s reliability against existing experimental data. The analysis focuses on the attenuation law of peak stress, the rise time, and the evolution of the constant impulse action time under different scaled distances. Results reveal that the peak stress follows a power-law decay pattern across various damage zones. With increasing aspect ratio, the attenuation index increases significantly, the attenuation coefficient decreases, and the extent of the cracked zones expands. In the proximity of the explosion, the stress rising time of the explosion stress wave increases linearly with distance, and the rate of this increase becomes more pronounced as the aspect ratio grows. Once the stress wave enters the cracked zone, its waveform is influenced by reflections and scatterings at crack interfaces, leading to a gradual flattening of the waveform and a subsequent stabilization in stress rising time. The equivalent impulse duration increases linearly with distance in the near zone but exhibits a decreasing trend within the fracture zone, reflecting the modulating effect of concrete damage on explosion stress wave propagation. Based on the principle of impulse equivalence, a simplified triangular explosion stress wave model is proposed, suitable for engineering-level anti-explosion analysis. Through segmented regression analysis, practical formulas are derived to estimate the peak stress, stress rising time, and equivalent impulse duration, explicitly incorporating the aspect ratio as a key parameter. These formulas offer a parametric tool for engineering calculations of explosion stress waves generated by internal cylindrical charge explosions in concrete structures.