Graded core sandwich structures have great potential for designing and optimization under special requirement. In the present work, the dynamic response of clamped square sandwich panel (SP) with layered-gradient metal foam core subjected to blast loading was investigated. A new yield criterion of SP with three-layer metal foam core was proposed, and the analytical solutions for maximum deflection over the center point of the panels were obtained. Furthermore, the corresponding results of finite element simulations and experiments were compared to validate the theoretical model. The numerical simulation and experimental results both show good agreements with theoretical predictions. It is shown that the uniform core SP is better than that of the gradient core one and the negative gradient SP is superior to that with positive gradient core in blast resistance for the same equivalent mass. Finally, the minimum mass designs of three-layer SP are stated by constructing geometry optimization diagram according to analytical formula. The theoretical analysis established is of great important in guiding engineering application of sandwich structure with multi-layer core under air-blast loading.

梯度芯夹芯结构在特殊要求下具有很大的设计和优化潜力。在目前的工作中，研究了层状渐变金属泡沫芯夹心方形夹芯板（SP）在爆炸载荷作用下的动力响应。提出了一种新的三层泡沫金属芯SP的屈服准则，并求出了面板中心最大挠度的解析解。此外，比较了有限元模拟和实验的相应结果，以验证理论模型。数值模拟和实验结果均与理论预测吻合良好。结果表明，在相同当量质量下，均匀核SP优于梯度核1，负梯度SP优于正梯度核。最后，通过根据解析公式构造几何优化图，说明了三层SP的最小质量设计。建立的理论分析对指导多层夹芯结构在高风速作用下的工程应用具有重要意义。