The lattice sandwich structure has become a focus of research in aerospace and other fields because of its light weight and high impact resistance. However, research on the impact resistance of lattice sandwich structures is still focused on simulations and experiments and presently lacks theoretical models. In this paper, we proposed a toughening design method based on the failure modes of lattice sandwich structures. The toughening model was established, the dimensional effect was analysed, and the mechanism of synergistic toughening was studied. The results show that the mass of the sandwich structure we designed is reduced by 67.7% compared with the solid part, which has the same outline sizes, and its impact toughness is increased by 119.0%.

格子夹层结构以其重量轻、抗冲击能力强等优点成为航空航天等领域的研究热点。然而，目前对格子夹层结构抗冲击性的研究主要集中在模拟和实验上，缺乏理论模型。在本文中，我们提出了一种基于格子夹层结构失效模式的增韧设计方法。建立增韧模型，分析尺寸效应，研究协同增韧机理。结果表明，我们设计的夹层结构与外形尺寸相同的实体件相比，质量减轻了67.7%，冲击韧性提高了119.0%。