Prediction of anisotropic coefficient of thermal expansion for laminated composite using multiscale numerical models

WAN Pei; XIA Hui; LIU Chen; JIA Jilong; HE Xue; DING Anxin

doi:10.13801/j.cnki.fhclxb.20220331.001

Volume 40 Issue 2

Feb. 2023

Turn off MathJax

Article Contents

Article Navigation > Acta Materiae Compositae Sinica > 2023 > 40(2): 1208-1217

WAN Pei, XIA Hui, LIU Chen, et al. Prediction of anisotropic coefficient of thermal expansion for laminated composite using multiscale numerical models[J]. Acta Materiae Compositae Sinica, 2023, 40(2): 1208-1217. doi: 10.13801/j.cnki.fhclxb.20220331.001

Citation:

WAN Pei, XIA Hui, LIU Chen, et al. Prediction of anisotropic coefficient of thermal expansion for laminated composite using multiscale numerical models[J]. Acta Materiae Compositae Sinica, 2023, 40(2): 1208-1217. doi: 10.13801/j.cnki.fhclxb.20220331.001

Citation:

PDF( 4912 KB)

Prediction of anisotropic coefficient of thermal expansion for laminated composite using multiscale numerical models

doi: 10.13801/j.cnki.fhclxb.20220331.001

WAN Pei¹,
XIA Hui¹,
LIU Chen¹,
JIA Jilong¹,
HE Xue²,
DING Anxin^{2
,
,}

1.
Department of PLA, Nanjing 210000, China
2.
School of Materials Science and Engineering, Wuhan University of Technology, Wuhan 430070, China

Funds: National Natural Science Foundation of China (11902231)

Received Date: 2022-02-17
Accepted Date: 2022-03-17
Rev Recd Date: 2022-03-13

Available Online: 2022-04-01

Publish Date: 2023-02-15

Abstract

Abstract

Representative volume element (RVE) in lamina and laminate levels were build based on the arrays of fiber into resin and stacking sequences in laminated composites. In combination with the specified boundary conditions in RVE models, coefficient of thermal expansions (CTEs) and engineering constants for lamina were predicted, followed by an evaluation of anisotropic CTEs for laminate using multiscale method. The results show that numerically predicted CTEs match well with experimental data as compared to theoretically calculated value as a whole, especially for the numerically predicated CTEs of unidirectional T300/5208, P75/934 and C6000/Pi carbon fiber reinforced epoxy resin matrix composites with a difference of 3%, 1% and 2%, respectively. And the predicted engineering constants using RVE model for unidirectional ECR/Derakane 510C glass fiber reinforced vinyl ester resin matrix composites were also in good agreement with experimentally measured results, with a maximum difference of 7.5%. Meanwhile, the difference between experimental results and forecasted CTEs in through-thickness direction for cross-ply AS4/8552 carbon fiber reinforced resin matrix composites using RVE model of laminated composites is nearly negligible with a difference of 0.08%. Finally, the equivalent CTEs of laminated composite with different stacking sequences were estimated using RVE models of lamina and laminate levels for cross-ply composite structures in large large-scale structures, and the results reveal that CTEs in through-thickness direction are weakly related to the ratio of stacking sequences in hoop direction.
- RVE,
- numerical simulation,
- laminate,
- cross-ply,
- multiscale
Long Abstrsct
Innovation Points

FullText(HTML)

References(27)

References

[1]	DING A, WANG J, NI A, et al. A new analytical solution for cure-induced spring-in of L-shaped composite parts[J]. Composites Science and Technology, 2019, 171: 1-12.
[2]	丁安心, 王继辉, 倪爱清, 等. 热固性树脂基复合材料固化变形解析预测研究进展[J]. 复合材料学报, 2018, 35(6): 1361-1376. DING Anxin, WANG Jihui, NI Aiqing, et al. A review of analytical prediction of cure-induced distortions in thermoset composites[J]. Acta Materiae Compositae Sinica, 2018, 35(6): 1361-1376(in Chinese).
[3]	李云波, 李宗利, 姚希望, 等. 含孔洞和裂隙混合缺陷的干燥水泥砂浆导热系数相互作用直推预测模型[J]. 复合材料学报, 2022, 39(1): 361-370. LI Yunbo, LI Zongli, YAO Xiwang, et al. Interaction direct deduction prediction model of thermal conductivity of dry cement mortar with mixed defects of cavities and cracks[J]. Acta Materiae Compositae Sinica, 2022, 39(1): 361-370(in Chinese).
[4]	周龙伟, 赵丽滨. 基于失效机制的单向纤维增强树脂复合材料退化模型[J]. 复合材料学报, 2019, 36(6): 1389-1397. ZHOU Longwei, ZHAO Libin. Failure mechanisms based degradation model of unidirectional fiber reinforced polymer composites[J]. Acta Materiae Compositae Sinica, 2019, 36(6): 1389-1397(in Chinese).
[5]	GAO Z, CHEN L. A review of multi-scale numerical modeling of three-dimensional woven fabric[J]. Composite Structures, 2021, 263: 113685.
[6]	FU Y, YAO X, GAO X. Micro-mesoscopic prediction of void defect in 3D braided composites[J]. Composites Part A: Applied Science and Manufacturing, 2021, 147: 106450.
[7]	SUN C, VAIDYA R. Prediction of composite properties from a representative volume element[J]. Composites Science and Technology, 1996, 56(2): 171-179.
[8]	GARNICH M R, KARAMI G. Finite element micromecha-nics for stiffness and strength of wavy fiber composites[J]. Journal of Composite Materials, 2004, 38(4): 273-292.
[9]	GARNICH M R, KARAMI G. Localized fiber waviness and implications for failure in unidirectional composites[J]. Journal of Composite Materials, 2005, 39(14): 1225-1245.
[10]	张元冲, HARDING J. 平面织物复合材料机械性能的数值细观力学分析[J]. 应用力学学报, 1989(4): 20-27, 114. ZHANG Yuanchong, HARDING J. A numerical micromechanics analysis of the mechanical properties of a plain weave composite[J]. Chinese Journal of Applied Mechanics, 1989(4): 20-27, 114(in Chinese).
[11]	吕毅, 吕国志, 吕胜利. 细观力学方法预测单向复合材料的宏观弹性模量[J]. 西北工业大学学报, 2007, 24(6): 787-790. LV Yi, LV Guozhi, LV Shengli. Semi-theoretical and engi-neering prediction of macroscopic elastic moduli of unidirectional composites[J]. Journal of Northwestern Polytechnical University, 2007, 24(6): 787-790(in Chinese).
[12]	左中鹅, 王瑞, 徐磊. 基于有限单元法的平纹织物复合材料强度预测: 1. RVE的有限元模型[J]. 纺织学报, 2009(12): 45-49. ZUO Zhong'e, WANG Rui, XU Lei. Mechanical strength prediction of plain woven fabric composite: 1. Finite element model of composite RVE[J]. Journal of Textile Research, 2009(12): 45-49(in Chinese).
[13]	LU J, ZHU P, JI Q, et al. Identification of the mechanical properties of the carbon fiber and the interphase region based on computational micromechanics and Kriging metamodel[J]. Computational Materials Science, 2014, 95: 172-180.
[14]	马学仕. 基于均匀化理论的周期性复合材料有效性能预测[D]. 南京: 南京航空航天大学, 2013. MA Xueshi. Homogenization method to calculation of effective properties for periodic composite materials[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2013(in Chinese).
[15]	GHOSH S, MUKHOPADHYAY S N. A material based finite element analysis of heterogeneous media involving dirichlet tessellations[J]. Computer Methods in Applied Mecha-nics and Engineering, 1993, 104(2): 211-247.
[16]	TRIAS D, COSTA J, MAYUGO J, et al. Random models versus periodic models for fibre reinforced composites[J]. Computational Materials Science, 2006, 38(2): 316-324.
[17]	LUCIANO R, BARBERO E J. Formulas for the stiffness of composites with periodic microstructure[J]. International Journal of Solids and Structures, 1994, 31(21): 2933-2944.
[18]	RAMM E, RANK E, RANNACHER R, et al. Error-controlled adaptive finite elements in solid mechanics[M]. Chichester: John Wiley & Sons, 2003.
[19]	赵琳. 基于单胞解析模型与渐进损伤分析的复合材料强度预报[D]. 哈尔滨: 哈尔滨工业大学, 2012. ZHAO Lin. Strength prediction of composites based on unit cell analytic model and progressive damage analysis[D]. Harbin: Harbin Institute of Technology, 2012(in Chinese).
[20]	张超, 许希武, 严雪. 纺织复合材料细观力学分析的一般性周期性边界条件及其有限元实现[J]. 航空学报, 2013, 34(7): 1636-1645. ZHANG Chao, XU Xiwu, YAN Xue. General periodic boundary conditions and their application to micromechanical finite element analysis of textile composites[J]. Acta Aeronautica et Astronautica Sinica, 2013, 34(7): 1636-1645(in Chinese)
[21]	SUN C, LIAO W. Analysis of thick section composite laminates using effective moduli[J]. Journal of Composite Materials, 1990, 24(9): 977-993.
[22]	SUN C, LI S. Three-dimensional effective elastic constants for thick laminates[J]. Journal of Composite Materials, 1988, 22(7): 629-639.
[23]	BOWLES D E, TOMPKINS S S. Prediction of coefficients of thermal expansion for unidirectional composites[J]. Jour-nal of Composite Materials, 1989, 23(4): 370-388.
[24]	SCHAPERY R A. Thermal expansion coefficients of compo-site materials based on energy principles[J]. Journal of Composite Materials, 1968, 2(3): 380-404.
[25]	CHAMIS C. Simplified composite micromechanics equations of hygral, thermal, and mechanical properties[J]. Transactions of the Asae, 1984, 39(3): 999-1004.
[26]	中国国家标准化管理委员会. 纤维增强塑料拉伸性能试验方法: GB/T 1447—2005[S]. 北京: 中国标准出版社, 2005. Standardization Administration of the People's Republic of China. Fiber-reinforced plastics composites—Determination of tensile properties: GB/T 1447—2005[S]. Beijing: China Standards Press, 2005(in Chinese).
[27]	WISNOM M R, POTTER K D, ERSOY N. Shear-lag analysis of the effect of thickness on spring-in of curved compo-sites[J]. Journal of Composite Materials, 2007, 41(11): 1311-1324.