3D打印高拉伸负泊松比超材料设计及力学行为

doi:10.7527/S1000-6893.2025.32361

Abstract

Abstract:

This paper focuses on the origami metamaterials with both negative Poisson’ s ratio effect and high tensile performance. The research is conducted by combining experiments and numerical simulations. Parametric models are established using HyperMesh， and finite element simulations are carried out with Ls-Dyna. Nylon PA2200 specimens are fabricated by Selective Laser Sintering （SLS）， and quasi-static tensile tests are performed to systematically investigate their mechanical behavior and regulation mechanism. The research shows that the unit cell geometric parameters （level， gap width） have a significant regulatory effect on the material properties： the tensile performance of the three-level structure （N3） is 413% higher than that of the one-level structure （N1）， and the maximum negative Poisson’ s ratio reaches -0.25； reducing the gap width can increase the negative Poisson’ s ratio effect by 38%. The material exhibits a unique “spoon-shaped” Poisson’ s ratio evolution law， and the negative Poisson’s ratio effect of the high-level structures （N2， N3） can be maintained over a strain range of more than 100%. When the design is extended to three-dimensional tubular structures， it is found that they have novel deformation modes such as progressive strengthening and smooth failure. This study provides theoretical and experimental basis for the development of programmable negative Poisson’ s ratio high-tensile metamaterials， which have important application potential in fields such as flexible electronics and aerospace.

Key words: paper-cutting metamaterials, negative Poisson' s ratio, high stretchability, 3D printing, finite element simulation

CLC Number:

V214.9

Yi WANG, Hua LIU, Jialing YANG, Xianfeng YANG. Design and mechanical behavior of 3D printed high tensile negative Poisson’ s ratio metamaterials[J]. Acta Aeronautica et Astronautica Sinica, 2025, 46(21): 532361.

Figures/Tables 27

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Table 1

Basic parameters of a single unit-cell

基本参数	N1	N2	N3
b/mm	2.0	1.2	0.88
t/mm	1.5	0.9	0.66
$ρ ¯$ /%	60.88	58.49	57.83

Table 1

Fig.12

Fig.13

Fig.14

Table 2

Parameter Settings for different normalized gap widths in N1

模型	N1T1	N1T2	N1T3	N1T4
$t ¯$	0.060	0.050	0.043	0.033

Table 2

Fig.15

Fig.16

Fig.17

Table 3

Parameter setting for different normalized gap widths in N2

模型	N2T1	N2T2	N2T3	N2T4
$t ¯$	0.060	0.050	0.043	0.033

Table 3

Fig.18

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References 26

[1]	FAN J X， ZHANG L， WEI S S， et al. A review of additive manufacturing of metamaterials and developing trends［J］. Materials Today， 2021， 50： 303-328.
[2]	REN X， DAS R， TRAN P， et al. Auxetic metamaterials and structures： a review［J］. Smart Materials and Structures， 2018， 27（2）： 023001.
[3]	任鑫，张相玉，谢亿民. 负泊松比材料和结构的研究进展［J］. 力学学报， 2019， 51（3）： 656-687.
	REN X， ZHANG X Y， XIE Y M. Research progress in auxetic materials and structures［J］. Chinese Journal of Theoretical and Applied Mechanics， 2019， 51（3）： 656-687 （in Chinese）.
[4]	XIN X Z， LIU L W， LIU Y J， et al. 4D printing auxetic metamaterials with tunable， programmable， and reconfigurable mechanical properties［J］. Advanced Functional Materials， 2020， 30（43）： 2004226.
[5]	ZHANG Y， REN X， HAN D， et al. Static and dynamic properties of a perforated metallic auxetic metamaterial with tunable stiffness and energy absorption［J］. International Journal of Impact Engineering， 2022， 164： 104193.
[6]	MA M H， WU Y D， YU Y L， et al. Ballistic resistance of biomimetic ceramic composite armor： An integrated analysis of impact dynamics and structural response［J］. Finite Elements in Analysis and Design， 2024， 240： 104209.
[7]	KIM W， BANG J， YANG Y， et al. Highly stretchable and conductive kirigami-like double-layer electrodes for motion-insensitive wearable electronics［J］. Composites Part B： Engineering， 2024， 283： 111655.
[8]	LI X， WANG Q S， YANG Z Y， et al. Novel auxetic structures with enhanced mechanical properties［J］. Extreme Mechanics Letters， 2019， 27： 59-65.
[9]	ROGERS J A， SOMEYA T， HUANG Y G. Materials and mechanics for stretchable electronics［J］. Science， 2010， 327（5973）： 1603-1607.
[10]	ZHOU W X， YAO S S， WANG H Y， et al. Gas-permeable， ultrathin， stretchable epidermal electronics with porous electrodes［J］. ACS Nano， 2020， 14（5）： 5798-5805.
[11]	BAO Z N， CHEN X D. Flexible and stretchable devices［J］. Advanced Materials， 2016， 28（22）： 4177-4179.
[12]	MUTH J T， VOGT D M， TRUBY R L， et al. 3D printing： Embedded 3D printing of strain sensors within highly stretchable elastomers （adv. mater. 36/2014）［J］. Advanced Materials， 2014， 26（36）： 6202.
[13]	GIBSON L J， ASHBY M F， SCHAJER G S，et al. The mechanics of two-dimensional cellular materials［J］ Proceedings of the Royal Society of London， 1982，382（1782）： 43-59.
[14]	GRIMA J N， EVANS K E. Auxetic behavior from rotating squares［J］. Journal of Materials Science Letters， 2000， 19（17）： 1563-1565.
[15]	GRIMA J N， EVANS K E. Auxetic behavior from rotating triangles［J］. Journal of Materials Science， 2006， 41（10）： 3193-3196.
[16]	LAKES R. Deformation mechanisms in negative Poisson’s ratio materials： Structural aspects［J］. Journal of Materials Science， 1991， 26（9）： 2287-2292.
[17]	ROSSITER J， TAKASHIMA K， SCARPA F， et al. Shape memory polymer hexachiral auxetic structures with tunable stiffness［J］. Smart Materials and Structures， 2014， 23（4）： 045007.
[18]	GRIMA J N， GATT R. Perforated sheets exhibiting negative Poisson’s ratios［J］. Advanced Engineering Materials， 2010， 12（6）： 460-464.
[19]	TANG Y C， YIN J. Design of cut unit geometry in hierarchical kirigami-based auxetic metamaterials for high stretchability and compressibility［J］. Extreme Mechanics Letters， 2017， 12： 77-85.
[20]	PARK J， WANG S D， LI M， et al. Three-dimensional nanonetworks for giant stretchability in dielectrics and conductors［J］. Nature Communications， 2012， 3： 916.
[21]	HUANG S H， LIU P， MOKASDAR A， et al. Additive manufacturing and its societal impact： A literature review［J］. The International Journal of Advanced Manufacturing Technology， 2013， 67（5）： 1191-1203.
[22]	NGO T D， KASHANI A， IMBALZANO G， et al. Additive manufacturing （3D printing）： A review of materials， methods， applications and challenges［J］. Composites Part B： Engineering， 2018， 143： 172-196.
[23]	党乐，张梦雨，成艳娜，等. 3D打印技术在复合材料中的应用与发展［J］科技创新与应用， 2022， 12（24）： 166-169.
	DANG L， ZHANG M Y， CHENG Y N，et al. The application and development of 3D Printing Technology in Composite Materials［J］. Technology Innovation and Application， 2022， 12（24）： 166-169 （in Chinese）.
[24]	BEHARIC A， RODRIGUEZ EGUI R， YANG L. Drop-weight impact characteristics of additively manufactured sandwich structures with different cellular designs［J］. Materials & Design， 2018， 145： 122-134.
[25]	YUAN S Q， SHEN F， BAI J M， et al. 3D soft auxetic lattice structures fabricated by selective laser sintering： TPU powder evaluation and process optimization［J］. Materials & Design， 2017， 120： 317-327.
[26]	LI B， LIU H， ZHANG Q， et al. Crushing behavior and energy absorption of a bio-inspired bi-directional corrugated lattice under quasi-static compression load［J］. Composite Structures， 2022， 286： 115315.

Design and mechanical behavior of 3D printed high tensile negative Poisson’ s ratio metamaterials

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