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三重周期极小曲面晶格在三点弯曲下的机械强度

Mechanical Strength of Triply Periodic Minimal Surface Lattices Subjected to Three-Point Bending.

作者信息

Lin Zo-Han, Pan Jyun-Hong, Li Hung-Yuan

机构信息

Department of Mold and Die Engineering, National Kaohsiung University of Science and Technology, No. 415 Jiangong Rd., Kaohsiung 807618, Taiwan.

出版信息

Polymers (Basel). 2022 Jul 16;14(14):2885. doi: 10.3390/polym14142885.

DOI:10.3390/polym14142885
PMID:35890660
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9318031/
Abstract

Sandwich panel structures (SPSs) with lattice cores can considerably lower material consumption while simultaneously maintaining adequate mechanical properties. Compared with extruded lattice types, triply periodic minimal surface (TPMS) lattices have light weight but better controllable mechanical properties. In this study, the different types of TPMS lattices inside an SPS were analysed comprehensively. Each SPS comprised two face sheets and a core filled with 20×5×1 TPMS lattices. The types of TPMS lattices considered included the Schwarz primitive (SP), Scherk's surface type 2 (S2), Schoen I-graph-wrapped package (I-WP), and Schoen face-centred cubic rhombic dodecahedron (F-RD). The finite element method was applied to determine the mechanical performance of different TPMS lattices at different relative densities inside the SPS under a three-point bending test, and the results were compared with the values calculated from analytical equations. The results showed a difference of less than 21% between the analytical and numerical results for the deformation. SP had the smallest deformation among the TPMS lattices, and F-RD can withstand the highest allowable load. Different failure modes were proposed to predict potential failure mechanisms. The results indicated that the mechanical performances of the TPMS lattices were mainly influenced by the lattice geometry and relative density.

摘要

带有晶格芯的夹芯板结构（SPSs）能够在保持足够力学性能的同时显著降低材料消耗。与挤压晶格类型相比，三重周期极小曲面（TPMS）晶格重量轻但力学性能更易于控制。在本研究中，对SPS内部不同类型的TPMS晶格进行了全面分析。每个SPS由两个面板和一个填充有20×5×1 TPMS晶格的芯组成。所考虑的TPMS晶格类型包括施瓦茨原始晶格（SP）、舍尔曲面2型（S2）、舍恩I型图包裹结构（I-WP）和舍恩面心立方菱形十二面体（F-RD）。应用有限元方法来确定在三点弯曲试验下SPS内部不同相对密度的不同TPMS晶格的力学性能，并将结果与根据解析方程计算的值进行比较。结果表明，解析结果与数值结果在变形方面的差异小于21%。在TPMS晶格中，SP的变形最小，而F-RD能够承受最高的允许载荷。提出了不同的失效模式来预测潜在的失效机制。结果表明，TPMS晶格的力学性能主要受晶格几何形状和相对密度的影响。

https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/23b34cb5223e/polymers-14-02885-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/33148d1ed532/polymers-14-02885-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/4191f4fd8a56/polymers-14-02885-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/55ea5409bcda/polymers-14-02885-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/20305b17df62/polymers-14-02885-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/13de8819a0b7/polymers-14-02885-g005a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/236823786f45/polymers-14-02885-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/70856aa05d44/polymers-14-02885-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/22a4a4fd6ba1/polymers-14-02885-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/bfe91d7307db/polymers-14-02885-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/c566485c08be/polymers-14-02885-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/afa29254238b/polymers-14-02885-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/69e55550982c/polymers-14-02885-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/23b34cb5223e/polymers-14-02885-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/33148d1ed532/polymers-14-02885-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/4191f4fd8a56/polymers-14-02885-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/55ea5409bcda/polymers-14-02885-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/20305b17df62/polymers-14-02885-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/13de8819a0b7/polymers-14-02885-g005a.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/236823786f45/polymers-14-02885-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/70856aa05d44/polymers-14-02885-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/22a4a4fd6ba1/polymers-14-02885-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/bfe91d7307db/polymers-14-02885-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/c566485c08be/polymers-14-02885-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/afa29254238b/polymers-14-02885-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/69e55550982c/polymers-14-02885-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/0042/9318031/23b34cb5223e/polymers-14-02885-g013.jpg

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