Nonlinear equivalent calculation of the zero Poisson ratio honeycomb structure based on FE-RVE method

SUN Shiyong; HAN Xiaochan; YANG Rui

doi:DOI：10.16579/j.issn.1001.9669.2025.11.004

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Nonlinear equivalent calculation of the zero Poisson ratio honeycomb structure based on FE-RVE method

·Design·Calculation· | 更新时间：2025-11-26

- Nonlinear equivalent calculation of the zero Poisson ratio honeycomb structure based on FE-RVE method
- Journal of Mechanical Strength Vol. 47, Issue 11, Pages: 26-32(2025)
- 作者机构：
  
  大连理工大学机械工程学院，大连 116024
- 作者简介：
  
  SUN Shiyong, E-mail: sunshy@dlut.edu.cn
- 基金信息：
  
  National Natural Science Foundation of China(51975085);National Key Research and Development Program of China(2020YBB1506704)
- DOI：DOI：10.16579/j.issn.1001.9669.2025.11.004
  CLC： TB122
- Received：24 January 2024，
  
  Revised：2024-03-16，
  
  Published：15 November 2025
- 稿件说明：
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孙士勇，韩晓缠，杨睿. 基于FE-RVE方法的零泊松比蜂窝结构非线性等效计算［J］. 机械强度，2025，47（11）：26-32.

SUN Shiyong，HAN Xiaochan，YANG Rui. Nonlinear equivalent calculation of the zero Poisson ratio honeycomb structure based on FE-RVE method［J］. Journal of Mechanical Strength，2025，47（11）：26-32.
孙士勇，韩晓缠，杨睿. 基于FE-RVE方法的零泊松比蜂窝结构非线性等效计算［J］. 机械强度，2025，47（11）：26-32. DOI： DOI：10.16579/j.issn.1001.9669.2025.11.004.

SUN Shiyong，HAN Xiaochan，YANG Rui. Nonlinear equivalent calculation of the zero Poisson ratio honeycomb structure based on FE-RVE method［J］. Journal of Mechanical Strength，2025，47（11）：26-32. DOI： DOI：10.16579/j.issn.1001.9669.2025.11.004.

摘要

零泊松比蜂窝结构在变形设计过程中存在非线性现象，对其等效弹性性能的预测分析造成了困难。为此提出了一种基于有限元（Finite Element

FE）方法与代表体元（Representative Volume Element

RVE）方法的零泊松比蜂窝结构等效计算模型。首先，通过位移约束的周期性边界条件建立RVE模型计算其等效弹性模量，并对比了壳单元和实体单元的适用性；然后，采用刚度更新方法进行蜂窝结构等效模型的非线性仿真计算，与现有理论、数值方法以及试验进行对比，验证了计算结果的准确性。最后，分析了蜂窝单胞几何参数对手风琴蜂窝结构几何非线性等效弹性模量的影响，为零泊松比蜂窝结构的非线性等效分析提供了一种高效的计算方法。

Abstract

The zero Poisson ratio honeycomb structure exhibits nonlinear phenomena in the deformation design process

which makes it difficult to predict and analyze its equivalent elastic performance. A zero Poisson ratio honeycomb structure equivalent calculation model based on the finite element (FE) method and the representative volume element (RVE) method was proposed. The RVE model was established using periodic boundary conditions with displacement constraints

and the applicability of shell elements and solid elements was compared. The stiffness updating method was used for nonlinear simulation calculation of the honeycomb structure equivalent model

and the accuracy of the calculation results was verified by comparison with existing theories

numerical methods and experiments. The influence of unit cell geometry parameters on the geometric nonlinear equivalent elastic modulus of accordion honeycomb structure was analyzed

providing an efficient calculation method for the nonlinear equivalent analysis of the zero Poisson ratio honeycomb structure.

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references

BUBERT E A ， WOODS B K S ， LEE K ， et al . Design and fabrication of a passive 1D morphing aircraft skin ［J］. Journal of Intelligent Material Systems and Structures ， 2010 ， 21 （ 17 ）： 1699 - 1717 .

郭瑜超，艾森，尹维龙，等 . 复合式柔性蒙皮的弹性表皮和蜂窝夹芯连接方案设计［J］. 机械强度， 2023 ， 45 （ 2 ）： 499 - 503 .

GUO Yuchao ， AI Sen ， YIN Weilong ， et al . Design of elastic skin and honeycomb sandwich connection scheme for composite flexible skin ［J］. Journal of Mechanical Strength ， 2023 ， 45 （ 2 ）： 499 - 503 . （In Chinese）

BARBARINO S ， GANDHI F ， WEBSTER S D . Design of extendable chord sections for morphing helicopter rotor blades ［J］. Journal of Intelligent Material Systems and Structures ， 2011 ， 22 （ 9 ）： 891 - 905 .

BISHAY P L ， BURG E ， AKINWUNMI A ， et al . Development of a new span-morphing wing core design ［J］. Designs ， 2019 ， 3 （ 1 ）： 12 .

张明明，吴宏伟，王帅，等 . 蜂窝机翼结构计算与优化设计［J］. 机械强度， 2017 ， 39 （ 5 ）： 1151 - 1157 .

ZHANG Mingming ， WU Hongwei ， WANG Shuai ， et al . Simulation and optimization design of airfoil honeycombs structure ［J］. Journal of Mechanical Strength ， 2017 ， 39 （ 5 ）： 1151 - 1157 . （In Chinese）

OLYMPIO K R ， GANDHI F . Zero Poisson’s ratio cellular honeycombs for flex skins undergoing one-dimensional morphing ［J］. Journal of Intelligent Material Systems and Structures ， 2010 ， 21 （ 17 ）： 1737 - 1753 .

LIU W D ， ZHU H ， ZHOU S Q ， et al . In-plane corrugated cosine honeycomb for 1D morphing skin and its application on variable camber wing ［J］. Chinese Journal of Aeronautics ， 2013 ， 26 （ 4 ）： 935 - 942 .

宫晓博 . 基于变刚度蒙皮和零泊松比蜂窝的变弯度机翼结构研究［D］. 哈尔滨：哈尔滨工业大学， 2017 ： 74 - 108 .

GONG Xiaobo . Research on variable camber wing structure based on variable stiffness morphing skin and zero Poisson’s ratio cellular structure ［D］. Harbin ： Harbin Institute of Technology ， 2017 ： 74 - 108 . （In Chinese）

QIU K P ， WANG Z ， ZHANG W H . The effective elastic properties of flexible hexagonal honeycomb cores with consideration for geometric nonlinearity ［J］. Aerospace Science and Technology ， 2016 ， 58 ： 258 - 266 .

葛萌 . 航天器含空腔结构的力学分析方法及力学性能研究［D］. 哈尔滨：哈尔滨工业大学， 2021 ： 77 - 96 .

GE Meng . Mechanical analysis method and mechanical property of spacecraft structure containing cavity ［D］. Harbin ： Harbin Institute of Technology ， 2021 ： 77 - 96 . （In Chinese）

SONG L P ， YIN Z Y ， WANG T X ， et al . Nonlinear mechanics of a thin-walled honeycomb with zero Poisson’s ratio ［J］. Mechanics Based Design of Structures and Machines ， 2023 ， 51 （ 9 ）： 4977 - 4999 .

CATAPANO A ， MONTEMURRO M . A multi-scale approach for the optimum design of sandwich plates with honeycomb core.Part I：homogenisation of core properties ［J］. Composite Structures ， 2014 ， 118 ： 664 - 676 .

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 ）： 25 - 42 .

MALEK S ， GIBSON L . Effective elastic properties of periodic hexagonal honeycombs ［J］. Mechanics of Materials ， 2015 ， 91 （ 1 ）： 226 - 240 .

OMAIREY S L ， DUNNING P D ， SRIRAMULA S . Development of an ABAQUS plugin tool for periodic RVE homogenisation ［J］. Engineering with Computers ， 2019 ， 35 （ 2 ）： 567 - 577 .

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