Study on the mechanical properties of negative poisson’s ratio honeycomb prepared by equibiaxial compression method

LI Yuwei; SU Buyun; QIU Ji; SHU Xuefeng; LI Zhiqiang

您当前的位置：

首页 >

文章列表页 >

Study on the mechanical properties of negative poisson’s ratio honeycomb prepared by equibiaxial compression method

更新时间：2025-01-10

- Study on the mechanical properties of negative poisson’s ratio honeycomb prepared by equibiaxial compression method
- Journal of Mechanical Strength Pages: 1-8(2025)
- 作者机构：
  
  1.太原理工大学机械与运载工程学院，太原 030024
  2.太原理工大学航空航天学院，太原 030024
- 作者简介：
  
  SU Buyun, E-mail: subuyun@tyut.edu.cn
- 基金信息：
  
  National Natural Science Foundation of China(12102289;12302477);Youth Science Research Project(202203021222081)
- DOI：
  CLC： O342;TB383
- Published Online：10 January 2025，
  
  Received：11 March 2024，
  
  Revised：23 April 2024，
- 稿件说明：
移动端阅览
李育伟，苏步云，邱吉等.基于等双轴压缩法制备的负泊松比蜂窝的力学性能研究［J］.机械强度，DOI：10.16579/j.issn.1001.9669.XXXX.XX.001.

LI Yuwei，SU Buyun，QIU Ji，et al.Study on the mechanical properties of negative poisson’s ratio honeycomb prepared by equibiaxial compression method［J］.Journal of Mechanical Strength，DOI：10.16579/j.issn.1001.9669.XXXX.XX.001.
李育伟，苏步云，邱吉等.基于等双轴压缩法制备的负泊松比蜂窝的力学性能研究［J］.机械强度，DOI：10.16579/j.issn.1001.9669.XXXX.XX.001. DOI：

LI Yuwei，SU Buyun，QIU Ji，et al.Study on the mechanical properties of negative poisson’s ratio honeycomb prepared by equibiaxial compression method［J］.Journal of Mechanical Strength，DOI：10.16579/j.issn.1001.9669.XXXX.XX.001. DOI：

摘要

目的

负泊松比材料因其具有拉伸时膨胀、压缩时收缩的独特性能，在各个领域均有着广泛的应用。

方法

通过对二维Voronoi模型进行等双轴压缩获得了一种负泊松比蜂窝材料，并通过数值仿真研究了不同压缩比对其静态拉伸/压缩力学性能的影响。

结果

结果表明，采用上述方法制备的二维负泊松比蜂窝，其拉伸和压缩应力应变曲线均具有典型的多孔材料“三阶段”变形特征，且呈现出显著的拉压强度非对称性。在单轴拉伸下材料表现出明显的负泊松比现象，随着压缩比的增大，其弹性模量和弹性泊松比逐渐减小，屈服强度和平台应力逐渐增大。随着拉伸应变的逐步增大，材料的塑性泊松比呈现出由负到零再到正的变化规律。然而，由于材料内部棱壁之间的相互接触，导致其向内的变形受限。因此，材料在单轴压缩下表现出正泊松比行为，且其弹性模量、屈服强度、弹/塑性泊松比和平台应力都随压缩比的增大而增大。此外，该负泊松比材料在拉伸下表现为各向异性，而在压缩下表现出各向同性。

Abstract

Objective

Negative Poisson’s ratio materials are widely used in various fields because of their unique properties of expansion in tension and contraction in compression.

Methods

A honeycomb material with negative Poisson’s ratio was obtained by equal biaxial compression of the two-dimensional Voronoi model

and the effects of different compression ratios on its static tensile/compressive mechanical properties were studied by numerical simulation.

Results

The results show that the tensile and compressive stress-strain curves of the two-dimensional negative Poisson’s ratio honeycomb prepared by the above method have typical "three-stage" deformation characteristics of porous materials

and show significant tensile and compressive strength asymmetry. Under uniaxial tension

the material shows obvious negative Poisson’s ratio phenomenon. With the increase of compression ratio

the elastic modulus and elastic Poisson’s ratio gradually decrease

and the yield strength and platform stress gradually increase. With the gradual increase of tensile strain

the plastic Poisson’s ratio of the material changes from negative to zero and then to positive. However

due to the mutual contact between the inner edges of the material

the inward deformation of the material is limited. Therefore

the material exhibits positive Poisson’s ratio behavior under uniaxial compression

and its elastic modulus

yield strength

elastic/plastic Poisson’s ratio and platform stress increase with the increase of compression ratio. In addition

the negative Poisson’s ratio material is anisotropic in tension and isotropic in compression.

关键词

负泊松比蜂窝变形模态弹/塑性泊松比平台应力拉压非对称

Keywords

Negative Poisson’s ratio honeycombDeformation modesElastic/plastic Poisson’s ratioPlateau stressTension-compression asymmetry

references

于靖军，谢岩，裴旭. 负泊松比超材料研究进展［J］. 机械工程学报， 2018，54（13）：1-14.

YU Jingjun， XIE Yan， PEI Xu. State-of-art of metamaterials with negative Poisson’s ratio ［J］. Journal of Mechanical Engineering， 2018，54（13）：1-14.（In Chinese）

卢子兴，李康. 负泊松比蜂窝动态压溃行为的有限元模拟［J］. 机械强度， 2016，38（6）：1237-1242.

LU Zixing，LI Kang.Dynamic crushing of honeycombs with a negative Poisson’s ratio——a finite element study［J］.Journal of Mechanical Strength，2016，38（6）：1237-1242.（In Chinese）

吴小莉，李兆凯. 新型负泊松比材料等效性能与吸能性能研究［J］. 机械强度，2023，45（4）：826-837.

WU Xiaoli， LI Zhaokai. Study on the equivalent properties and energy absorption properties of a novel material with negative Poisson’s ratio［J］. Journal of Mechanical Strength， 2023，45（4）：826-837.（In Chinese）

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 Xin， ZHANG Xiangyu， XIE Yimin. Research progress in auxetic materials and structures［J］. Chinese Journal of Theoretical and Applied Mechanics， 2019，51（3）：656-687.（In Chinese）

GIBSON I J，ASHBY M F. The mechanics of three-dimensional cellular materials［J］. Proceedings of the royal society of London.A.Mathematical and Physical Sciences， 1982，382（1782）：43-59.

叶建华，李东煜，林佳，等. 负泊松比内凹多孔骨微结构设计与力学性能分析［J］. 机械强度， 2022，44（6）：1380-1386.

YE Jianhua， LI Dongyu， LIN Jia， et al. Microstructure design and mechanical properties analysis of porous bone with negative Poisson’s ratio［J］. Journal of Mechanical Strength， 2022，44（6）：1380-1386.（In Chinese）

王振，陈国平，惠旭龙，等. 基于旋转内凹六边形的负泊松比结构力学性能研究［J］. 机械强度， 2023，45（1）：124-130.

WANG Zhen， CHEN Guoping， HUI Xulong， et al. Mechanical performance of negative Poisson’s ratio structures based on rotating concave hexagon［J］. Journal of Mechanical Strength， 2023，45（1）：124-130.（In Chinese）

郭之熙，肖俊华. 多弧段曲边内凹蜂窝可调泊松比结构的力学性能研究［J］. 工程力学， 2023，40（10）：204-212.

GUO Zhixi， XIAO Junhua. Mechanical properties of multi-arc concave honeycomb structure with adjustable Poisson’s ratio［J］. Engineering Mechanics， 2023，40（10）：204-212.（In Chinese）

尤泽华，肖俊华. 弧边内凹蜂窝负泊松比结构的面内冲击动力学数值研究［J］. 工程力学， 2022，39（12）：248-256.

YOU Zehua， XIAO Junhua. Numerical study on in-plane impact dynamics of concave honeycomb structure with negative Poisson’s ratio［J］. Engineering Mechanics， 2022，39（12）：248-256.（In Chinese）

万武举，肖俊华，郭之熙. 双材料曲边内凹负泊松比多胞结构的力学性能研究［J/OL］. 工程力学， 2024：1-13［2024-04-23］.http：//kns.cnki.net/kcms/detail/11.2595.O3.20231118.1803.004.htmlhttp://kns.cnki.net/kcms/detail/11.2595.O3.20231118.1803.004.html.

WAN Wuju， XIAO Junhua， GUO Zhixi. Mechanical properties of arc concave multicell structures of bimaterials with negative Poisson’s ratio［J/OL］. Engineering Mechanics， 2024：1-13［2024-04-23］.http：//kns.cnki.net/kcms/detail/11.2595.O3.20231118.1803.004.html.http://kns.cnki.net/kcms/detail/11.2595.O3.20231118.1803.004.html.（In Chinese）

LAKES R. Foam structures with a negative Poisson’s ratio［J］. Science， 1987，235（4792）：1038-1040.

SCARPA F， PASTORINO P， GARELLI A， et al. Auxetic compliant flexible PU foams：static and dynamic properties［J］. Physica Status Solidi （b）， 2005，242（3）：681-694.

POZNIAK A A， SMARDZEWSKI J， WOJCIECHOWSKI K W. Computer simulations of auxetic foams in two dimensions［J］. Smart Materials and Structures， 2013，22（8）：084009.

GAO R C， LI D， DONG L， et al. Numerical analysis of the mechanical properties of 3D random Voronoi structures with negative Poisson’s ratio［J］. Physica Status Solidi （b）， 2019，256（7）：1800539.

LI D， DONG L， YIN J H， et al. Negative Poisson’s ratio in 2D Voronoi cellular solids by biaxial compression：a numerical study［J］. Journal of Materials Science， 2016，51（14）：7029-7037.

ZHU H X， HOBDELL J R， WINDLE A H. Effects of cell irregularity on the elastic properties of open-cell foams［J］. Acta Materialia， 2000，48（20）：4893-4900.

林伟，杨凤双，石迎雨. 基于Voronoi方法的梯度点阵结构力学性能的研究［J］. 机械强度， 2023，45（2）：399-406.

LIN Wei， YANG Fengshuang， SHI Yingyu. Research on mechanical properties of gradient lattice structures based on Voronoi method［J］. Journal of Mechanical Strength， 2023，45（2）：399-406.（In Chinese）

ZHANG J J， LU G X， WANG Z H， et al. Large deformation of an auxetic structure in tension： experiments and finite element analysis［J］. Composite Structures， 2018，184：92-101.

苏步云，周志伟，张建军，等. 基于剖球模型的开孔泡沫金属动态力学行为研究［J］. 稀有金属材料与工程， 2016，45（3）：671-676.

SU Buyun， ZHOU Zhiwei， ZHANG Jianjun， et al. Dynamic crushing behaviors of open-cell foams based on sphere-subtracted models ［J］. Rare Metal Materials and Engineering， 2016，45（3）：671-676.（In Chinese）

Views

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

No data

Related Author

No data

Related Institution

No data

⁰