中文摘要：

运用一维非线性塑性冲击波模型和细观有限元模型对密度梯度多胞牺牲层的抗爆炸性能进行了分析。基于率无关的刚性-塑性硬化模型,建立了描述冲击波在多胞牺牲层中传播的控制方程,分别给出了正、负密度梯度多胞材料在指数型爆炸载荷作用下的响应特性。研究了可正好吸收爆炸能量的梯度多胞牺牲层的临界厚度与载荷强度、覆盖层质量、多胞材料的密度梯度等参数之间的关系,给出了以临界厚度和支撑端应力峰值为指标的密度梯度设计图。运用二维细观有限元模型验证了基于非线性塑性冲击波模型的抗爆炸分析的有效性。

英文摘要：

The blast mitigation behavior of a density-graded cellular sacrificial cladding is investigated by using a nonlinear plastic shock model and a cell-based finite element model. Based on a rate-inde- pendent, rigid-plastic hardening idealization, a theoretical approach is applied to analyze the propaga- tion of shock wave in density-graded cellular rods subjected to blast loading. The influences of the in- tensity of blast load, the cover mass and the density gradient parameter of the cellular material on the critical thickness, which is the minimum thickness of the core layer when the energy of explosion is fully absorbed, are investigated. A design guide of density-gradient is provided which considers the critical thickness of the cellular core as well as the peak stress at the support end. The validity of the anti-blast analysis of the graded cellular sacrificial cladding based on the nonlinear plastic shock model is verified by using cell-based finite element models.