The underground concrete silo, designed as a hollow cylinder with a large aspect ratio and thin walls, is highly susceptible to failure caused by intentional or accidental soil explosions. To enhance its protection, this study investigates the dynamic tensile responses and failure mechanisms of underground concrete silos subjected to high-yield soil explosions. The concept of nominal crack width is proposed to quantitatively describe the degree of overall bending-induced tensile responses and failure of the concrete silo. The influences of explosive weights, standoff distances, and the aspect ratios and thicknesses of the underground concrete silo are quantitatively explored first. On this basis, a dimensionless number combining these major influencing factors is derived using dimensional analysis. The derived dimensionless number has a clear physical meaning, reflecting three aspects: the inertia of the blast loading, the resistance ability of concrete material to bending responses and failure, and the resistance ability of silo structure to bending responses and failure. The results demonstrate that the proposed dimensionless number effectively correlates with the overall bending-induced tensile responses and failure of silo structures across various geometries and explosion scenarios, exhibiting a good linear relation with the dimensionless nominal crack width of the concrete silo. With its solid physical foundation, the dimensionless number offers practical applications in scaling analysis and fast damage assessment. Specific examples of these applications are presented and discussed in this study.

中文翻译：

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为地下混凝土筒仓的动态拉伸响应和土壤爆炸失效提供无量纲数的建议


地下混凝土筒仓设计为具有大纵横比和薄壁的空心圆柱体，极易因有意或无意的土壤爆炸而失效。为了增强其保护，本研究研究了地下混凝土筒仓在高产土爆炸下的动态拉伸响应和失效机制。名义裂缝宽度的概念被提出来定量描述混凝土筒仓的整体弯曲引起的拉伸响应和破坏的程度。首先定量探讨了炸药重量、对距离以及地下混凝土筒仓的纵横比和厚度的影响。在此基础上，使用量纲分析得出了组合这些主要影响因素的无量纲数。推导出的无量纲数具有明确的物理意义，反映了三个方面：爆炸载荷的惯性、混凝土材料对弯曲响应和破坏的抵抗能力、筒仓结构对弯曲响应和破坏的抵抗能力。结果表明，所提出的无量纲数与各种几何形状和爆炸情景下筒仓结构的整体弯曲诱导的拉伸响应和失效有效相关，与混凝土筒仓的无量纲标称裂缝宽度表现出良好的线性关系。凭借其坚实的物理基础，这个无量纲数字在缩放分析和快速损伤评估方面提供了实际应用。本研究提供并讨论了这些应用的具体示例。