Abstract Failure analyses of reinforced concrete slabs under impact loading are essential to evaluate the impact resistance of structures accurately; further, these analyses help reasonably design and construct engineering structures. In this paper, we propose a novel three-dimensional (3D) coupled Eulerian-Lagrangian method to simulate projectile penetration into the reinforced concrete slab. In this method, the entire computational domain is covered with Eulerian cells. The reinforcing bar is also covered with Lagrangian particles to avoid numerical oscillations. The physical quantities of the Eulerian cells and Lagrangian particles are mapped to each other by their topological relationships. Different materials do not embed owing to the combination of the fixed cells and single-valued mapping. Numerical simulations of projectile penetration into the concrete slab are compared with the corresponding experimental data and previous numerical results to verify the effectiveness of the coupled Eulerian-Lagrangian method. Then, the deformation history of the reinforcing bar, and the influence of initial penetration velocity, reinforcing bar, and the uniaxial compressive strength and thickness of concrete on the penetration performance are conducted. Numerical results demonstrate that the 3D Eulerian-Lagrangian method can effectively simulate projectile penetration into the reinforced concrete slab.

中文翻译：

---

冲击荷载作用下钢筋混凝土板失效分析新数值方法

摘要 钢筋混凝土板在冲击荷载作用下的失效分析是准确评价结构抗冲击性能的关键；此外，这些分析有助于合理设计和构建工程结构。在本文中，我们提出了一种新颖的三维 (3D) 耦合欧拉-拉格朗日方法来模拟弹丸穿透钢筋混凝土板。在这种方法中，整个计算域都被欧拉单元覆盖。钢筋还覆盖有拉格朗日粒子以避免数值振荡。欧拉单元和拉格朗日粒子的物理量通过它们的拓扑关系相互映射。由于固定单元和单值映射的组合，不同的材料不会嵌入。将射弹穿透混凝土板的数值模拟与相应的实验数据和先前的数值结果进行比较，以验证耦合欧拉-拉格朗日方法的有效性。然后，进行了钢筋的变形历程，以及初始贯入速度、钢筋、混凝土单轴抗压强度和厚度对贯入性能的影响。数值结果表明，3D Eulerian-Lagrangian 方法可以有效地模拟弹丸穿透钢筋混凝土板。并研究了初始贯入速度、钢筋、混凝土单轴抗压强度和厚度对贯入性能的影响。数值结果表明，3D Eulerian-Lagrangian 方法可以有效地模拟弹丸穿透钢筋混凝土板。并研究了初始贯入速度、钢筋、混凝土单轴抗压强度和厚度对贯入性能的影响。数值结果表明，3D Eulerian-Lagrangian 方法可以有效地模拟弹丸穿透钢筋混凝土板。