RVE Size Εffect and Homogenizing Response of Directional Modulus in Stochastic Multi-scale Chopped Carbon Fiber Composite Structure Model

Yijian QIU; Ping ZHENG; Xiangping CHENG; Yusong GUO

doi:10.12382/bgxb.2021.0835

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RVE Size Εffect and Homogenizing Response of Directional Modulus in Stochastic Multi-scale Chopped Carbon Fiber Composite Structure Model

更新时间：2025-08-18

- RVE Size Εffect and Homogenizing Response of Directional Modulus in Stochastic Multi-scale Chopped Carbon Fiber Composite Structure Model
- Acta Armamentarii Vol. 44, Issue 3, Pages: 702-717(2023)
- 作者机构：
  
  1. 江西省科学院应用物理研究所，江西南昌 330001
  2. 南昌师范学院，江西南昌 330032
- 作者简介：
- 基金信息：
- DOI：10.12382/bgxb.2021.0835
  CLC：
- Received：08 December 2021，
  
  Published：28 March 2023
- 稿件说明：
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Yijian QIU, Ping ZHENG, Xiangping CHENG, et al. RVE Size Εffect and Homogenizing Response of Directional Modulus in Stochastic Multi-scale Chopped Carbon Fiber Composite Structure Model[J]. Acta Armamentarii, 2023, 44(3): 702-717.
DOI：

Yijian QIU, Ping ZHENG, Xiangping CHENG, et al. RVE Size Εffect and Homogenizing Response of Directional Modulus in Stochastic Multi-scale Chopped Carbon Fiber Composite Structure Model[J]. Acta Armamentarii, 2023, 44(3): 702-717. DOI： 10.12382/bgxb.2021.0835.

摘要

采用一种新型的多尺度短切纤维填充树脂均匀化方法，目的在于探寻随机短切纤维离散角度对复合结构方向模量的均一化响应，同时研究卷曲短切碳纤维(CCF)单元在具有代表体积元(RVE)结构中随机分布所引起的复合材料结构性能变化。在均一化方法中使用一种基于高斯定理的RVE结构子域后处理方案，用于提取三维结构的平均应变和应力。利用X射线计算机断层扫描方法确定2阶张量取向角和剪切纤维长度在测试样品中的概率分布信息，设计比较3种尺寸的RVE模型，通过实验和计算研究CCF多尺度复合模型应力影响区衰减长度的影响因素和该均匀化方法引起的带有旋转角度的RVE方向模量均匀化响应。研究结果表明，复合结构的剪切模量比正轴模量相对旋转角度更为敏感，衰减长度与RVE尺寸、单胞结构和纤维扭曲度等因素相关。因此，研究随机短纤维的离散性对宏观复合结构方向模量的设计，铺层角度的优化等领域具有十分重要的应用。

Abstract

A new homogenization method of multi-scale chopped fiber filling resin matrix was adopted with the purpose of exploring the effect of the discrete angle of stochastic chopped fiber on the homogenizing response of directional modulus of the composite structure. We also studied the changes of composite structure performance caused by the random distribution of the crimp chopped carbon fiber (CCF) unit in the representative volume element (RVE) structure. In the homogenization method

a RVE subdomain post-processing scheme based on Gauss theorem was used to extract the average strain and stress of the three-dimensional structure. In addition

X-ray computed tomography (CT) was employed to determine the second-order tensor orientation angle and the probability distribution information of chopped fiber length in the test sample. The RVE models of three dimensions were designed and compared. The influencing factors of attenuation length in stress-affected zone of multi-scale CCF composite model and the homogenizing response of RVE directional modulus with rotation angle caused by this homogenization method were studied by experiments and calculations. The results showed that the shear modulus of the composite structure is more sensitive to rotation angle than the positive axial modulus

and that the attenuation length is related to RVE size

unit cell (UC) structure and fiber tortuosity. Therefore

it is of practical significane to study the discreteness of stochastic chopped carbon fiber for the design of directional modulus of macroscopic composite structures and the optimization of layering angle.

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references

MALLICK P K . Thermoset matrix composites for lightweight automotive structures [J ] . Materials, Design and Manufacturing for Lightweight Vehicles , 2021 , 51 : 229 - 263 .

TANG H B , CHEN Z X , XU H Y , et al. Computational micromechanics model based failure criteria for chopped carbon fiber sheet molding compound composites [J ] . Composites Science and Technology , 2020 , 48 : 200 .

CHEN Z X , TANG H B , SHAO Y , et al. Failure of chopped carbon fiber sheet molding compound(SMC) composites under uniaxial tensile loading: computational prediction and experimental analysis [J ] . Composites Part A: Applied Science and Manufacturing , 2019 , 118 : 117 - 130 . DOI: 10.1016/j.compositesa.2018.12.021 http://doi.org/10.1016/j.compositesa.2018.12.021 https://linkinghub.elsevier.com/retrieve/pii/S1359835X18304895 https://linkinghub.elsevier.com/retrieve/pii/S1359835X18304895

TANG H B , CHEN Z X , AVINESH O , et al. Notch insensitivity in fatigue failure of chopped carbon fiber chip-reinforced composites using experimental and computational analysis [J ] . Composite Structures , 2020 , 244 : 112 - 128 .

NAVA F , HERAEZ M , LOPES C S , et al. Computational micromechanics of fiber kinking in unidirectional FRP under different environmental conditions [J ] . Composites Science and Technology , 2017 , 144 : 26 - 35 . DOI: 10.1016/j.compscitech.2017.03.014 http://doi.org/10.1016/j.compscitech.2017.03.014 https://linkinghub.elsevier.com/retrieve/pii/S0266353817300416 https://linkinghub.elsevier.com/retrieve/pii/S0266353817300416

PIMENTA S , GUTKIN R , PINHO S T , et al. A micromechanical model for kink-band formation: Part I - experimental study and numerical modelling [J ] . Composites Science and Technology , 2009 , 69 : 948 - 955 . DOI: 10.1016/j.compscitech.2009.02.010 http://doi.org/10.1016/j.compscitech.2009.02.010 https://linkinghub.elsevier.com/retrieve/pii/S026635380900061X https://linkinghub.elsevier.com/retrieve/pii/S026635380900061X

SAVVAS D , STEFANOU G , PAPADOPOULOS V , et al. Effect of waviness and orientation of carbon nanotubes on random apparent material properties and RVE size of CNT reinforced composites [J ] . Composite Structures , 2016 , 152 : 870 - 882 . DOI: 10.1016/j.compstruct.2016.06.009 http://doi.org/10.1016/j.compstruct.2016.06.009 https://linkinghub.elsevier.com/retrieve/pii/S0263822316307942 https://linkinghub.elsevier.com/retrieve/pii/S0263822316307942

HSIAO H M , DANIEL I M . Elastic properties of composites with fiber waviness [J ] . Composites Part A , 1996 , 27 (A): 931 - 941 . DOI: 10.1016/1359-835X(96)00034-6 http://doi.org/10.1016/1359-835X(96)00034-6 https://linkinghub.elsevier.com/retrieve/pii/1359835X96000346 https://linkinghub.elsevier.com/retrieve/pii/1359835X96000346

HILL R . On constitutive macro-variables for heterogeneous solids at finite strain [J ] . Proceedings of the Royal Society of London , 1972 , 326 ( 1565 ): 131 - 147 .

OGDEN R W . On the overall moduli of non-linear elastic composite materials [J ] . Journal of the Mechanics & Physics of Solids , 1974 , 22 ( 6 ): 541 - 553 .

CASTANEDA P P . Second-order homogenization estimates for nonlinear composites in corporating field fluctuations:I-theory [J ] . Journal of the Mechanics and Physics of Solids , 2002 , 50 ( 4 ): 737 - 757 . DOI: 10.1016/S0022-5096(01)00099-0 http://doi.org/10.1016/S0022-5096(01)00099-0 https://linkinghub.elsevier.com/retrieve/pii/S0022509601000990 https://linkinghub.elsevier.com/retrieve/pii/S0022509601000990

CASTANEDA P P . Exact second-order estimates for the effective mechanical properties of nonlinear composite materials [J ] . Journal of the Mechanics and Physics of Solids , 1996 , 44 ( 6 ): 827 - 862 . DOI: 10.1016/0022-5096(96)00015-4 http://doi.org/10.1016/0022-5096(96)00015-4 https://linkinghub.elsevier.com/retrieve/pii/0022509696000154 https://linkinghub.elsevier.com/retrieve/pii/0022509696000154

KOUZNETSOVA V , GEERS M G D , BREKELMANS W A M . Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy [J ] . Computer Methods in Applied Mechanics and Engineering , 2004 , 193 ( 48-51 ): 5525 - 5550 . DOI: 10.1016/j.cma.2003.12.073 http://doi.org/10.1016/j.cma.2003.12.073 https://linkinghub.elsevier.com/retrieve/pii/S0045782504002853 https://linkinghub.elsevier.com/retrieve/pii/S0045782504002853

CHEN L L , GU B , TAO J H , et al. The average response and isotropy of 3D representative volume elements for random distributed short fibers rein forced elastomer [J ] . Composite Structures , 2019 , 216 : 279 - 289 . DOI: 10.1016/j.compstruct.2019.02.049 http://doi.org/10.1016/j.compstruct.2019.02.049 https://linkinghub.elsevier.com/retrieve/pii/S0263822318312315 https://linkinghub.elsevier.com/retrieve/pii/S0263822318312315

CAYLAK I , PENNER E , MAHNKEN R . Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters [J ] . Computer Methods in Applied Mechanics and Engineering , 2021 , 373 : 241 - 265 .

TIAN W L , QI L H , ZHOU J M , et al. Representative volume element for composites reinforced by spatially randomly distributed discontinuous fibers and its applications [J ] . Composite Structures , 2015 , 131 : 366 - 373 . DOI: 10.1016/j.compstruct.2015.05.014 http://doi.org/10.1016/j.compstruct.2015.05.014 https://linkinghub.elsevier.com/retrieve/pii/S0263822315003797 https://linkinghub.elsevier.com/retrieve/pii/S0263822315003797

GE J , QI L H , XU J C , et al. The effects of interphase parameters on transverse elastic properties of Carbon-Carbon composites based on FE model [J ] . Composite Structures , 2021 , 268 ( 14 ): 113961 . DOI: 10.1016/j.compstruct.2021.113961 http://doi.org/10.1016/j.compstruct.2021.113961 https://linkinghub.elsevier.com/retrieve/pii/S0263822321004219 https://linkinghub.elsevier.com/retrieve/pii/S0263822321004219

CHEN L L , GU B Q , TAO J H , et al. The average response and isotropy of 3D representative volume elements for random distributed short fibers reinforced elastomer [J ] . Composite Structures , 2019 , 216 : 279 - 289 . DOI: 10.1016/j.compstruct.2019.02.049 http://doi.org/10.1016/j.compstruct.2019.02.049 https://linkinghub.elsevier.com/retrieve/pii/S0263822318312315 https://linkinghub.elsevier.com/retrieve/pii/S0263822318312315

ISMAIL C , EDUARD P , ROLF M . Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters [J ] . Computer Methods in Applied Mechanics and Engineering , 2021 , 373 : 113439 . DOI: 10.1016/j.cma.2020.113439 http://doi.org/10.1016/j.cma.2020.113439 https://linkinghub.elsevier.com/retrieve/pii/S0045782520306241 https://linkinghub.elsevier.com/retrieve/pii/S0045782520306241

CHAO X J , QI L H , CHENG J , et al. Numerical evaluation of the effect of pores on effective elastic properties of carbon/carbon composites [J ] . Composite Structures , 2018 , 196 : 108 - 116 . DOI: 10.1016/j.compstruct.2018.05.014 http://doi.org/10.1016/j.compstruct.2018.05.014 https://linkinghub.elsevier.com/retrieve/pii/S0263822317336619 https://linkinghub.elsevier.com/retrieve/pii/S0263822317336619

GHABOUSSI B J . Knowledge-based modeling of material behavior with neural networks [J ] . Journal of Engineering Mechanics , 1991 , 117 : 132 - 153 . DOI: 10.1061/(ASCE)0733-9399(1991)117:1(132) http://doi.org/10.1061/(ASCE)0733-9399(1991)117:1(132) https://ascelibrary.org/doi/10.1061/%28ASCE%290733-9399%281991%29117%3A1%28132%29 https://ascelibrary.org/doi/10.1061/%28ASCE%290733-9399%281991%29117%3A1%28132%29

LEFIK M , SCHREFLER B A . Artificial neural network as an incremental non-linear constitutive model for a finite element code [J ] . Computer Methods in Applied Mechanics and Engineering , 2003 , 192 : 3265 - 3283 . DOI: 10.1016/S0045-7825(03)00350-5 http://doi.org/10.1016/S0045-7825(03)00350-5 https://linkinghub.elsevier.com/retrieve/pii/S0045782503003505 https://linkinghub.elsevier.com/retrieve/pii/S0045782503003505

JUNG S , GHABOUSSI J . Neural network constitutive model for rate-dependent materials [J ] . Computers & Structures , 2006 , 84 : 955 - 963 . DOI: 10.1016/j.compstruc.2006.02.015 http://doi.org/10.1016/j.compstruc.2006.02.015 https://linkinghub.elsevier.com/retrieve/pii/S0045794906000563 https://linkinghub.elsevier.com/retrieve/pii/S0045794906000563

贺体人 , 刘刘 , 徐吉峰 . 数字图像相关方法辅助的 IM7/8552 碳纤维/环氧树脂复合材料单向带层合板沿厚度方向非线性本构参数识别 [J ] . 复合材料学报 , 2021 , 38 ( 1 ): 177 - 185 .

HE T R , LIU L , XU J F . Digital image correlation aided method for identification of nonlinear constitutive parameters of IM7/8552 carbon fiber/epoxy composite unidirectional laminate along thickness directionction [J ] . Acta Materiae Compositae Sinica , 2021 , 38 ( 1 ): 177 - 185 . (in Chinese)

MARTIN J , OSBORNE C P . Equilibrium in Hotelling's model of spatial competition [J ] . Econometrica Society , 1987 , 55 : 911 - 922 .

HALPIN J C , KARDOS J L . The Halpin-Tsai equations: a review [J ] . Polymer Engineering and Science , 1976 , 15 : 69 - 72 .

SHANG S , YUN G J . Stochastic finite element with material uncertainties: implementation in a general purpose simulation program [J ] . Finite Elements in Analysis and Design , 2013 , 64 : 65 - 78 . DOI: 10.1016/j.finel.2012.10.001 http://doi.org/10.1016/j.finel.2012.10.001 https://linkinghub.elsevier.com/retrieve/pii/S0168874X12001837 https://linkinghub.elsevier.com/retrieve/pii/S0168874X12001837

ANUMANDLA V , GIBSON R F . A comprehensive closed form micromechanics model for estimating the elastic modulus of nanotube-reinforced composites [J ] . Composites Part A:Applied Science and Manufacturing , 2006 , 37 : 2178 - 2185 . DOI: 10.1016/j.compositesa.2005.09.016 http://doi.org/10.1016/j.compositesa.2005.09.016 https://linkinghub.elsevier.com/retrieve/pii/S1359835X05003830 https://linkinghub.elsevier.com/retrieve/pii/S1359835X05003830

CHAMIS C C . Simplified composite micromechanics equations for hygral, thermal, and mechanical-properties. In: NASA [M ] . Houston, TE, US:NASA Technical Memorandum 83320. Composite Institute , 1984 .

JANG D P , FAZILY P , YON J W . Machine learning-based constitutive model for J 2 -plasticity [J ] . International Journal of Plasticity , 2021 , 138 : 122 - 135 .

UNAL B . Divergence theorems in semi-riemannian geometry [J ] . Acta Applicandae Mathematicae , 1995 , 40 : 173 - 178 . DOI: 10.1007/BF00996933 http://doi.org/10.1007/BF00996933 http://link.springer.com/10.1007/BF00996933 http://link.springer.com/10.1007/BF00996933

HILL R . Elastic properties of reinforced solids: some theoretical principles [J ] . Journal of the Mechanics and Physics of Solids , 1963 , 11 : 357 - 372 . DOI: 10.1016/0022-5096(63)90036-X http://doi.org/10.1016/0022-5096(63)90036-X https://linkinghub.elsevier.com/retrieve/pii/002250966390036X https://linkinghub.elsevier.com/retrieve/pii/002250966390036X

HARPER L T , QIAN C , TURNER T A , et al. Representative volume elements for discontinuous carbon fiber composites - Part 2: determining the critical size [J ] . Composites Science and Technology , 2012 , 72 : 204 - 210 . DOI: 10.1016/j.compscitech.2011.11.003 http://doi.org/10.1016/j.compscitech.2011.11.003 https://linkinghub.elsevier.com/retrieve/pii/S0266353811003848 https://linkinghub.elsevier.com/retrieve/pii/S0266353811003848

胡春幸 , 侯玉亮 , 铁瑛 , 等 . 基于遗传算法的碳纤维增强树脂复合材料层合板单搭胶接结构的多目标优化 [J ] . 复合材料学报 , 2021 , 38 ( 6 ): 1847 - 1858 .

HU C X , HOU Y L , TIE Y , et al. Multi-objective optimization of adhesively bonded single-lap joints of carbon fiber reinforced polymer laminates based on genetic algorithm [J ] . Acta Materiae Compositae Sinica , 2021 , 38 ( 6 ): 1847 - 1858 . (in Chinese)

WGRAF S F , KALISKE M , SICKERT J U . Recurrent neural networks for uncertain time-dependent structural behavior [J ] . Computer-Aided Civil and Infrastructure Engineering 2010 , 25 : 322 - 333 . DOI: 10.1111/mice.2010.25.issue-5 http://doi.org/10.1111/mice.2010.25.issue-5 http://blackwell-synergy.com/doi/abs/10.1111/mice.2010.25.issue-5 http://blackwell-synergy.com/doi/abs/10.1111/mice.2010.25.issue-5

于汝雨 , 张旭方 . 体积分数随机场作用下复合材料层合板固有振动特性不确定性分析 [J ] . 复合材料学报 , 2022 , 39 ( 1 ): 417 - 429 .

YU R Y , ZHANG X F . Uncertainty analysis of natural vibration characteristics of composite laminated plates with spatially varied stochastic volume fractions [J ] . Acta Materiae Compositae Sinica , 2022 , 39 ( 1 ): 417 - 429 . (in Chinese)

李森 , 黄海鸿 , 刘威豪 , 等 . 再生短碳纤维湿法取向技术及其增强性能分析 [J ] . 复合材料学报 , 2022 , 39 ( 1 ): 1 - 11 .

LI S , HUANG H H , LIU W H , et al. Wet orientation technology of recycled short carbon fiber and analysis of its reinforcement performance [J ] . Acta Materiae Compositae Sinica , 2022 , 39 ( 1 ): 1 - 11 . ( in Chinese)

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