The continuously density-graded cellular materials have great potential to mitigate the impact damage of structures under intensive loading. In this article, we theoretically and numerically investigate the uniaxial crushing of continuously density-graded cellular cores in sandwich plates subjected to impulsive loading. Four types of core density distribution are investigated: positive, negative, middle-high and middle-low. The theoretical predictions agree well with the 2D Voronoi finite element results. Based on the yield acceleration function, it is found that different shock modes may occur in the crushing core, depending strongly on the core density gradient. Discussions on maximizing the densification impulse and mitigating the back-face acceleration show that density-graded cellular materials may be helpful in optimization of the sandwich plates.

连续密度梯度蜂窝材料在减轻结构在强载荷下的冲击损伤方面具有巨大潜力。在本文中，我们从理论上和数值上研究了连续密度梯度蜂窝芯在受到冲击载荷的夹层板中的单轴破碎。研究了四种类型的核心密度分布：正、负、中高和中低。理论预测与二维 Voronoi 有限元结果非常吻合。基于屈服加速度函数，发现破碎岩心可能发生不同的冲击模式，强烈依赖于岩心密度梯度. 关于最大化致密化脉冲和减轻背面加速度的讨论表明，密度梯度蜂窝材料可能有助于夹层板的优化。