Dynamic Responses and Cumulative Damage of the Underground Cavern under Cyclic Explosion
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摘要: 为研究循环爆炸对地下洞室的影响，基于相似模型试验，采用通用有限元软件ABAQUS对比研究了洞室拱顶高水平单次爆炸和低水平10次循环爆炸作用下地下洞室围岩的应力波衰减规律、损伤累积规律及洞壁位移和环向应变分布特征。结果表明：循环爆炸中，洞室围岩的应力波衰减速度随着爆炸次数的增加先减小后增大。单次爆炸中，洞壁环向峰值应变从拱顶至直墙脚由拉应变转为压应变；循环爆炸中，随着爆炸次数的增加，拱顶环向峰值应变由压应变转为拉应变。爆炸荷载总水平相同时，低水平循环爆炸中洞室围岩的损伤面积和程度比高水平单次爆炸大。循环爆炸中，围岩的损伤累积呈现不可逆的逐级增加趋势，且累积损伤和爆炸次数之间呈明显的非线性关系。Abstract: To assess the effect of cyclic explosion on underground caverns, based on a similarity model test, the finite element software ABAQUS was utilized to analyze the dynamic responses and cumulative damage of underground caverns under cyclic explosion at low levels and a single explosion at high level. The stress wave attenuation characteristics and the cumulative damage evolution laws of the surrounding rock were presented. Besides, the displacement of the vault and the circumferential strain of the cavern wall were compared and analyzed. The results indicate that, with the increase of explosion times, the stress wave attenuation speed of the surrounding rock under cyclic explosion decreases first and then increases. In the single explosion, the peak circumferential strain of the cavern walls changes from tensile strain to compressive strain from the vault to corner. In the cyclic explosion, the peak circumferential strain of the vault changes with the increase of explosion times from compressive strain to tensile strain. Under the same explosion loading in total, the damage of the surrounding rock is greater in the low-level cyclic explosion than that in the high-level single explosion in terms of area and degree. In addition, the cumulative damage of surrounding rock under cyclic explosion presents an irreversible and step-by-step increase, and shows a dramatic nonlinear relationship with explosion times.
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Key words:
- underground cavern /
- cyclic explosion /
- dynamic responses /
- cumulative damage /
- numerical analysis
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图 3 单次爆炸下测点的应力时程曲线对比
Figure 3. Comparison of the stress time curves of the measuring points of single explosion
图 4 压应力峰值-比例距离拟合曲线
Figure 4. Fitting curves of the peak pressure and the scaled distance
图 5 循环爆炸模型中测点的应力-时程曲线
Figure 5. Stress-time curves of the measuringpoints of cyclic explosion
图 6 压应力峰值-爆心距拟合曲线
Figure 6. Fitting curves of the peak pressure and the distance from the explosion source
图 9 单次爆炸时洞壁的环向应变峰值(单位：10–6)
Figure 9. Peak circumferential strain distribution of the cavern wall under single explosion (Unit: 10–6)
图 10 循环爆炸时洞壁的环向应变峰值（单位：10–6）
Figure 10. Peak circumferential strain distribution of the cavern wall under cyclic explosion (Unit: 10–6)
图 11 循环爆炸作用下洞室的损伤分布
Figure 11. Damage distribution of underground cavern under cyclic explosion
图 12 单次爆炸洞室的损伤分布
Figure 12. Damage distribution of the underground cavern under single explosion
图 13 洞室最大受拉累积损伤面积
Figure 13. The maximum tensile cumulative damage area of the underground cavern
图 14 单次爆炸下各测点的损伤时程曲线
Figure 14. Damage time curves of the measuring points under single explosion
图 15 循环爆炸下各测点的损伤时程曲线
Figure 15. Damage time curves of the measuring points under cyclic explosion
图 16 洞室围岩的损伤累积和爆炸次数拟合曲线
Figure 16. Fitting curves of the cumulative damage of the surrounding rock and explosion times
表 1 CDP模型相关参数
Table 1. Parameters of the CDP model
Density of concrete/(kg·m−3) E/GPa Dilation angle /(°) Eccentricity Kc Viscosity parameter 1800 2.03 0.16 25 0.1 1.16 0.6667 0 
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