
多向拉胀折纸超材料的力学行为研究
邹凯, 赵昌方, 刘浩, 刘洋佐, 张克斌
多向拉胀折纸超材料的力学行为研究
Study on Mechanical Behaviours of Multi-directional Auxetic Origami Meta-materials
力学折纸超材料以折纸思想为基础,通过设计巧妙的特征结构来实现表观材料的特殊力学行为。为进一步融合折纸超材料和拉胀超材料的性能优势,受折纸范式启发设计一种多向的拉胀折纸超材料(AOMM)。基于静定结构承载变形机制,分析多向AOMM的负泊松比效应,建立相对密度、折叠效率、弹性等效本构以及载荷平台的理论模型,通过曲面响应揭示几何参数对多向AOMM折叠载荷的影响规律。采用热塑性聚氨酯(TPU)基材3D打印多向AOMM试件,通过准静态压缩实验进行变形、承载和吸能特性的分析。结果表明:TPU AOMM具有一定的形状恢复能力、负泊松比效应和稳定的吸能平台,平台门槛应变和相对密度的理论值与实验结果吻合较好。研究结果可为拉胀折纸超材料的设计和应用提供参考。
Based on the idea of origami, mechanical origami meta-materials can realize the special mechanical behaviour at the apparent material level by designing ingenious characteristic structures. To further integrate the performance advantages of origami and auxetic meta-materials, a novel multi-directional auxetic origami meta-material (AOMM) inspired by the origami paradigm was designed. Based on the load-bearing deformation mechanism of the stationary structure, the negative Poisson's ratio effect of the multi-directional AOMM was analyzed, the theoretical models of relative density, folding efficiency, equivalent elastic constitutivity and load plateau were established, and the influence law of geometric parameters on the folding load was revealed by the surface response. The multi-directional AOMM specimen was 3D printed using thermoplastic polyurethane (TPU) as the base material, and the deformation, load bearing and energy absorption characteristics were analyzed by quasi-static compression experiment. The results show that TPU AOMM has a certain shape recovery ability, a negative Poisson's ratio effect and a stable energy absorption plateau, and the theoretical values of the threshold strain entering load plateau and the relative density are in good agreement with the experimental results. The present research results can provide a reference for the design and application of auxetic origami meta-materials.
折纸超材料 / 拉胀超材料 / 负泊松比 / 等效力学 / 热塑性聚氨酯
Origami meta-materials / Auxetic meta-materials / Negative poisson's ratio / Equivalent mechanics / Thermoplastic polyurethane
O342 / TB303
1 |
|
2 |
赵昌方,朱宏伟,任杰,等.复合材料负泊松比结构的冲击力学性能[J].青岛科技大学学报:自然科学版,2021,42(5):75-80.
|
3 |
赵峰,霍亚奇,陈鹿民,等.双对斜杆负刚度机制的恒值QZS隔振器研究[J].振动与冲击,2024,43(2):52-59.
|
4 |
王昱,吕恩利,王亚娟,等.负泊松比负热膨胀超材料微结构拓扑优化设计[J].上海理工大学学报,2016,38(6):551-556.
|
5 |
方虹斌,吴海平,刘作林,等.折纸结构和折纸超材料动力学研究进展[J].力学学报,2022,54(1):1-38.
|
6 |
|
7 |
|
8 |
|
9 |
|
10 |
|
11 |
|
12 |
|
13 |
|
14 |
|
15 |
|
16 |
|
17 |
|
18 |
|
19 |
|
20 |
陈耀,叶王杰,史佳遥,等.三浦折纸超材料结构数字化设计与模型验证[J].力学学报,2022,54(7):2019-2029.
|
21 |
姚宽.折纸型力学超材料结构单元设计及性能研究[D].南京:东南大学,2020.
|
22 |
夏进军,李洁,张雨萌,等.折纸结构及其特性的工程应用策略[J].材料导报,2021,35(11):11197-11208.
|
23 |
赵昌方,
|
24 |
|
25 |
|
26 |
刘明金.负泊松比蜂窝芯结构的力学特性研究[D].合肥:中国科学技术大学,2012.
|
27 |
|
28 |
王海瑞,申薛靖,王宙恒,等.折纸超材料折展稳态特性研究[J].力学学报,2022,54(10):2726-2732.
|
29 |
|
30 |
|
31 |
|
/
〈 |
|
〉 |