Abstract

In this study, impact behavior and deformation mechanism of triply periodic minimal surface (TPMS) sheet (Schwarz’ P, Schoen’s I-WP, and Neovius) were numerically investigated. The convergence study of mesh size, sensitivity of cell number, and parametric investigation of shell thickness were performed. Three different collapse modes “$\bigvee +\bigwedge =\mathrm{X},$” “$/+\backslash =\mathrm{X},$” and “Whole-X” were experienced corresponding to Schwarz’ P, Schoen’s I-WP, and Neovius sheets, respectively. Comparison between the anisotropic 2D circular honeycomb and isotropic 3D TPMS were conducted. The results show that TPMS sheets perform excellent mechanical properties due to their isotropic smooth surface transitions and open-cell connectivity.

• Highlights

• Cell number sensitivity of TPMS structures is investigated and Mesh size convergence study of TPMS structure is performed.

• Systematic regular TPMS patterns are obtained and collapse mechanisms related to deformation mode are revealed.

• Comparison between TPMS structure and the representative 2D cellular circular honeycomb structure is conducted, better performance in withstanding uniaxial compression is confirmed.

摘要

在这项研究中，对三重周期最小表面 (TPMS) 板（Schwarz' P、Schoen's I-WP 和 Neovius）的冲击行为和变形机制进行了数值研究。进行了网格尺寸、单元数敏感性和壳厚度参数研究的收敛性研究。三种不同的折叠模式“$\bigvee +\bigwedge =\mathrm{X},$” “$/+\backslash =\mathrm{X},$”和“Whole-X”分别对应于 Schwarz 的 P、Schoen 的 I-WP 和 Neovius 表。进行了各向异性 2D 圆形蜂窝和各向同性 3D TPMS 之间的比较。结果表明，TPMS 片材由于其各向同性的光滑表面过渡和开孔连通性而具有优异的机械性能。

• 强调

• 研究了TPMS结构的细胞数敏感性，并进行了TPMS结构的网格尺寸收敛性研究。

• 获得了系统的规则 TPMS 模式，并揭示了与变形模式相关的坍塌机制。

• TPMS 结构与具有代表性的 2D 蜂窝圆形蜂窝结构之间进行了比较，证实了在承受单轴压缩方面具有更好的性能。