Deformation Mode and Energy Absorption of Modularized Cellular Structures
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摘要: 模块化多孔结构相较于传统一体式结构能够更加灵活地满足装配需求，研究其变形模式和吸能特性，可为多孔结构在工程中的应用提供新思路。选用具有正泊松比效应的正六边形和具有负泊松比效应的内凹形作为模块化多孔结构的填充单元，共设计了8种结构，并进行了准静态压缩实验。实验结果与有限元模拟计算结果吻合良好。研究发现：不同填充方式的结构具有不同的变形模式，其中正六边形填充表现出明显的剪切破坏带，交替填充能较好地保持单元的初始形状；2层填充多孔结构的压缩力峰值均大于3层填充结构，2层结构的比吸能也大于对应的3层填充结构；正六边形填充结构的总吸能、平均压缩力和比吸能在4种填充方式中均最小；内凹形填充结构的总吸能和平均压缩力均最大，且其比吸能保持在稳定且较高的水平。Abstract: Compared with the traditional integrated structures, modularized cellular structures can meet the assembly requirements more flexibly. The deformation modes and energy absorption were studied to provide new ideas for the application of cellular structures in engineering, the regular hexagon with positive Poisson’s ratio effect and the re-entrant hexagon with negative Poisson’s ratio effect were selected as the infill units of the modularized cellular structures in this paper, and eight kinds of structures were designed for quasi-static compression experiments. The experimental results were in good agreement with the simulation results. The cellular structures with different infill approaches had different deformation modes under the compression experiments, in which the regular hexagon infill units showed obvious shear failure bands, and the alternate infill approaches can maintain the original units shape. The peak force of the two-layer infill cellular structures were greater than the three-layer infill structures, and the specific absorption energy were greater than the corresponding three-layer infill structures. The total absorption energy, average compression force and specific absorption energy of the hexagon infill structures were always the smallest among the four infill approaches, while the total absorption energy and average compression force of the re-entrant hexagon infill structures were always the largest and the specific absorption energy was kept at a stable and high level.
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图 1 2种典型填充单元的基本尺寸（单位：mm）
Figure 1. Two typical infill units and their basic dimensions (Unit: mm)
图 2 2层和3层正六边形、内凹形交替填充的多孔结构（单位：mm）
Figure 2. Infill cellular structures of two and three layers hexagon alternating with re-entrant (Unit: mm)
图 6 2层填充多孔结构的变形模式
Figure 6. Deformation modes of two layers infill cellular structures
图 7 3层填充多孔结构的变形模式
Figure 7. Deformation modes of three layers infill cellular structures
图 8 2层和3层多孔结构的压力-位移曲线
Figure 8. Force-displacement curves of two and three layers cellular structures
图 12 2层填充多孔结构的应力云图
Figure 12. Stress diagrams of two layers infill cellular structures
图 13 3层填充多孔结构的应力云图
Figure 13. Stress diagrams of three layers infill cellular structures
图 14 填充多孔结构的力-位移实验与数值模拟曲线
Figure 14. Force-displacement experimental and simulation curves of infill cellular structures
图 15 正六边形填充多孔结构的剪切破坏条带
Figure 15. Shear failure strips of hexagon infill cellular structures
图 16 2层正六边形填充多孔结构的力-位移曲线及总能量吸收
Figure 16. Force-displacement curve and total energy absorption of two layers hexagon infilled cellular structure
表 1 8种多孔结构的内部填充
Table 1. Internal infill of eight cellular structures
Layer number Structural style H R H/R R/H 2 
3 
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表 2 8种多孔结构的吸能指标
Table 2. Energy absorption index of eight cellular structures
Structure Layer Ea/J Esa/(J·g−1) Fp/kN Fa/kN H 2 537.421 6.796 20.676 26.871 R 730.291 7.373 16.635 36.515 H/R 550.843 6.445 16.774 27.542 R/H 693.729 7.853 17.780 34.687 H 3 540.071 4.728 15.236 18.002 R 948.612 7.263 15.576 31.620 H/R 719.230 6.164 13.764 23.974 R/H 647.934 5.396 11.957 21.598
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