In-plane compression properties of foam-filled anti-tetrachiral structure and re-entrant structure
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摘要: 负泊松比蜂窝结构具有优良的力学性能，包括抗压痕性、抗冲击性、吸能性。为了更好地研究负泊松比结构的力学性能，分别选取了内凹结构和四韧带反手性结构两种负泊松比结构进行对比分析。为了提高蜂窝结构的力学性能，在结构中填充聚氨酯泡沫材料。并对填充后的内凹结构和四韧带反手性结构的变形模式和力学性能进行了试验研究。此外通过对填充四韧带反手性结构进行参数研究，分析了壁厚t和节点半径r对结构吸能性和泊松比的影响。研究结果表明：四韧带反手性结构比内凹结构的吸能性好、承载能力强。对两种结构分别进行填充后，结构具有更高的的刚度和吸能性，但是“拉胀”效应减弱。随着壁厚t和节点半径r的增加，填充四韧带反手性结构的刚度和能量吸收能力增强，泊松比值增大，“拉胀”效应减弱。但是壁厚过大会使结构脆性破坏增强，其比吸能性降低。另外随着壁厚t增大、节点半径减小，填充四韧带反手性结构的压实应变减小。Abstract: Negative Poisson's ratio honeycomb structure has excellent mechanical properties including indentation resistance, impact resistance and energy absorption. In order to better study the mechanical properties of negative Poisson's ratio structure, this paper selects two kinds of negative Poisson's ratio structure: Anti-tetrachiral structure and re-entrant structure for comparative analysis. In order to improve the mechanical properties of honeycomb structure, polyurethane foam was filled in the structure. The deformation modes and mechanical properties of the foam-filled anti-tetrachiral structure and re-entrant structure were experimentally studied. In addition, through the parametric study of the foam-filled anti-tetrachiral structure, the effects of wall thickness ‘t’ and node radius ‘r’ on the energy absorption and Poisson's ratio of the structure were analyzed. The results show that the energy absorption and bearing capacity of anti-tetrachiral structure is better than that of the re-entrant structure. After filling the two kinds of structures respectively, the structure has higher stiffness and energy absorption, but the ‘auxetics’ effect is weakened. With the increase of wall thickness ‘t’ and node radius ‘r’, the stiffness and energy absorption capacity of the foam-filled anti-tetrachiral structure increase, the Poisson's ratio increases, and the ‘auxetics’ effect decreases. However, the brittle failure of the structure is enhanced and its specific energy absorption is weakened when the wall thickness is too thick. In addition, the compaction strain of the four-ligament backhand structure decreases with the increase of the wall thickness ‘t’ and the decrease of the node radius ‘r’.
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图 2 不同负泊松比结构单胞示意图
Figure 2. Unit cell schematic of different negative Poisson's ratio structures
a—Horizontal rib length; t1—Wall thickness of RS; h—Height; θ—Angle of inclination of the ribs; L—Horizontal and vertical center-to-center distance between ATC cells; t2—Wall thickness of ATC; r—Radius of the circular node; ATC—Anti-tetrachiral structure; RS—Re-entrant structure
图 3 内凹结构、四韧带反手性结构3D打印结构示意图(a)和聚氨酯泡沫填充结构示意图(b)
Figure 3. 3D printing structure diagram of re-entrant structure and anti-tetrachiral structure (a) and polyurethane foam filling structure diagram (b)
图 4 测量试件泊松比的标记点示意图
Figure 4. Marking point images for measuring Poisson's ratio of specimen
图 5 准静态压缩试验下RS结构填充前(a)、填充后(b)的变形模式
Figure 5. Deformation mode of RS structure before (a) and after (b) filling under quasi-static compression test
图 6 内凹结构(RS)(a)、四韧带反手性结构(ATC)(b)填充前后的应力-应变关系曲线
H—Hollow; F—Filling
Figure 6. Stress-strain relationship curves of the re-entrant structure (RS) (a) and the anti-tetrachiral structure (ATC) of four ligaments (b) before and after filling
图 7 准静态压缩试验下ATC3结构填充前后的变形模式
Figure 7. Deformation mode of ATC3 structure before and after filling under quasi-static compression test
图 8 准静态压缩试验下四韧带反手性结构和内凹结构的比吸能(ESA)-应变关系曲线(a)、泊松比曲线(b)
Figure 8. Specific energy absorption (ESA)-strain curves (a) and Poisson's ratio curves (b) of the anti-tetrachiral structure and re-entrant structure under quasi-static compression test
图 9 准静态压缩试验下不同参数ATC结构的变形模式
Figure 9. Deformation modes of ATC structures with different parameters under quasi-static compression test
图 10 不同壁厚(a)、不同节点半径(b)的ATC结构应力-应变关系曲线
Figure 10. Stress-strain curves of ATC structures with different wall thicknesses (a) and different joint radii (b)
图 11 不同壁厚(a)、不同节点半径(b)的ATC结构ESA-应变曲线
Figure 11. ESA-strain curves of ATC structures with different wall thicknesses (a) and different joint radii (b)
图 12 不同壁厚(a)、不同节点半径(b)的ATC结构泊松比变化曲线
Figure 12. Poisson's ratio curves of ATC structures with different wall thicknesses (a) and different joint radii (b)
表 1 不同参数ATC结构的准静态压缩试验能量吸收指标
Sample class ATC1 ATC2 ATC3 ATC4 ATC5 ATC6 εD 0.63 0.56 0.61 0.62 0.60 0.56 SEA/(J·kg-1) 2566 2712 2810 3690 3260 2513 σmax/MPa 1.59 2.06 2.55 3.28 4.40 5.75 
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表 1 四韧带反手性结构(ATC)参数
Table 1. Anti-tetrachiral structure (ATC) parameters
Sample L/mm r/mm t/mm ATC1 12.50 4.00 0.75 ATC2 12.50 3.50 1.00 ATC3 12.50 4.00 1.00 ATC4 12.50 4.50 1.00 ATC5 12.50 4.00 1.25 ATC6 12.50 4.00 1.50
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表 2 内凹结构(RS)参数
Table 2. Re-entrant structure (RS) parameters
Sample a/mm h/mm θ/(°) t/mm RS 25 25 55 2
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表 3 C-UV9400 E的材料性能
Table 3. Material properties of C-UV9400 E
Materials Strength of extension/MPa Young's modulus/MPa Elongation at break/% Density/(g·cm−3) C-UV9400 E 56 2650 12 1.19
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表 4 不同参数ATC结构的准静态压缩试验能量吸收指标
Table 4. Energy absorption indexes of quasi-static compression test of ATC structures with different parameters
Sample εD ESA/(J·kg−1) σmax/MPa ATC1 0.63 2566 1.59 ATC2 0.56 2712 2.06 ATC3 0.61 2810 2.55 ATC4 0.62 3690 3.28 ATC5 0.60 3260 4.40 ATC6 0.56 2513 5.75
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