Abstract: To obtain the novel cellular structures with high load-bearing and energy-absorption characteristics,a design of hollow cellular structures and its mechanical analyzing method were proposed based on Triply Periodic Minimal Surfaces (TPMS).The design process was realized by Boolean operation of I-Wrapped Package (I-WP) TPMS with different level parameters.The numerical homogenization method was applied to evaluate the effective properties of hollow cellular structures.The finite element method was performed to analyze the static mechanical performance.The compression experiment was finally carried out to reveal the compressive and energy-absorption characteristics of the hollow cellular structures.Compared with the I-WP basic cellular structures,the I-WP hollow cellular structures had a higher effective bulk modulus.Static simulations and dynamic experiments had also revealed a stronger static load-bearing capacity as well as better dynamic compression and energy absorption characteristics.

Key words: triply periodic minimal surfaces, hollow cellular structure, mechanical properties, numerical homogenization method, finite element method

摘要： 为了获得具有高承载和吸能特性的新型多孔结构,提出了基于三周期极小曲面的空心多孔结构设计与力学性能分析方法。通过将不同水平参数的I-Wrapped Package(I-WP)型三周期极小曲面进行布尔运算,实现空心多孔结构设计,基于数值均匀化法评估了空心多孔结构的等效属性,采用有限元法分析了空心多孔结构的静态力学性能,通过压缩实验分析了空心多孔结构的压缩和吸能特性。相对于I-WP型基础结构,I-WP型空心多孔结构具有更高的等效体积模量,在静态载荷下承载能力更强,在动态载荷下压缩和吸能特性更优。

关键词: 三周期极小曲面, 空心多孔结构, 力学性能, 数值均匀化法, 有限元法