基于ECPL模型的平纹机织复合材料低速冲击多尺度模拟

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振动与冲击 ›› 2020, Vol. 39 ›› Issue (20) : 295-304.

论文

王涛，侯玉亮，铁瑛，李成

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Multi-scale simulation of low-velocity impact on plain woven composites based on an ECPL model

WANG Tao, HOU Yuliang, TIE Ying, LI Cheng

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文章历史 +

摘要

本文采用多尺度方法对平纹机织复合材料低速冲击损伤进行了数值模拟。首先建立E玻璃纤维束的微观单胞模型，计算出纤维束的等效刚度和强度；然后建立平纹机织复合材料的细观单胞模型，并基于连续损伤力学模型和三维Hashin失效准则对细观模型进行损伤演化模拟；最后，本文提出一种新的基于体积平均法的局部均匀化方法，将细观模型转化为含有0°和90°单层的等效交叉层合板（ECPL）模型，同时将建立的ECPL模型扩展成宏观模型并对其低速冲击损伤进行数值模拟，得出冲击能量为30J下平纹机织复合材料的力位移曲线及能量曲线并与文献中的试验结果进行了对比。结果表明，由于层合板未发生穿孔破坏，力和位移均呈现先增大后减小的趋势，数值模拟峰值力为5621N，与试验值误差为1.3％；并且层合板失效形式主要为纤维和基体拉伸损伤及层间分层损伤。宏观ECPL低速冲击模型的数值与试验结果吻合较好，验证了局部均匀化方法和多尺度模型的有效性。

Abstract

In this work, a multi-scale approach has been proposed to investigate the low-velocity impact damage of plain woven composites. First, the microscale representative volume element (RVE) was established to predict the effective properties of E-glass yarns. Second, the mesoscale RVE of the plain woven composites was constructed and the damage evolution of the mesoscale RVE was analyzed based on a continuous damage mechanics (CDM) model and the 3D Hashin failure criterion. Finally, a new local homogenization method based on the volume averaging method was proposed, which transforms the mesoscale model into the equivalent cross ply laminate (ECPL) model with 0° and 90° layers. The ECPL model was extended to a macroscale model, and low-velocity impact simulations have been performed to investigate the damage behaviors of plain woven composites. The force-displacement and energy curves of plain woven composites with impact energy of 30 J were obtained and compared with experimental results in literature. The results show that the numerical simulation peak force is 5 621 N, the deviation from the experimental value is 1.3%; Moreover, the failure modes within laminates are mainly fiber and matrix tensile damages and delamination. The numerical results of the low-velocity impact model based on the ECPL approach are in good agreement with the experimental results, which validates the local homogenization approach and the multi-scale modeling strategy.

导出引用

王涛，侯玉亮，铁瑛，李成. 基于ECPL模型的平纹机织复合材料低速冲击多尺度模拟[J]. 振动与冲击, 2020, 39(20): 295-304

WANG Tao, HOU Yuliang, TIE Ying, LI Cheng. Multi-scale simulation of low-velocity impact on plain woven composites based on an ECPL model[J]. Journal of Vibration and Shock, 2020, 39(20): 295-304

参考文献

[1] 徐瑀童,左洪福,陆晓华, 等.复合材料低速冲击损伤评估数值分析与试验研究[J].振动与冲击,2019,38(03):149-155.
Xu Yutong, Zuo Hongfu, Lu Xiaohua ,et al. Numerical analysis and tests for low-velocity impact damage evaluation of composite material [J]. Journal of Vibration and Shock, 2019,38(03):149-155.
[2] S.L. Angioni, M. Meo, A. Foreman. A comparison of homogenization methods for 2-D woven composites [J]. Composites Part B: Engineering, 2011, 42(2): 181-189.
[3] Shantanu S. Mulay, R. Udhayaraman. On the constitutive modelling and damage behaviour of plain woven textile composite [J]. International Journal of Solids and Structures, 2019, 156: 73-86.
[4] LiChuan Zhou, MingWei Chen, Chuang Liu. A multi-scale stochastic fracture model for characterizing the tensile behavior of 2D woven composites [J]. Composite Structures, 2018, 204: 536-547.
[5] Gautier Girard, Mohamad Jrad, Slim Bahi, et al. Experimental and numerical characterization of thin woven composites used in printed circuit boards for high frequency applications [J]. Composite Structures, 2018, 193: 140-153.
[6] 王新峰. 机织复合材料多尺度渐进损伤研究[D].南京航空航天大学,2007
Wang Xinfeng. Multi-scale analyses of damage evolution in woven composites materials [D] Nanjing: Nanjing University Of Aeronautics And Astronautics, 2007.
[7] Yuan Zhou, Zixing Lu, Zhenyu Yang. Progressive damage analysis and strength prediction of 2D plain weave composites [J]. Composites Part B: Engineering, 2013, 47: 220-229.
[8] Liang Wang, Jiayi Wu, Chuanyong Chen, et al. Progressive failure analysis of 2D woven composites at the meso-micro scale [J]. Composite Structures, 2017,178: 395-405.
[9] Liang Wang, Bo Zhao, Jiayi Wu, et al Experimental and numerical investigation on mechanical behaviors of woven fabric composites under off-axial loading [J] International Journal of Mechanical Sciences, 2018,141: 157-167.
[10] Heeyoung Choi, Christian Heinrich, Wooseok Ji An efficient homogenization technique for fiber tows in textile composites with emphasis on directionally dependent nonlinear stress–strain behavior [J] Composite Structures, 2019,208: 816-825.
[11] LiChuan Zhou, XiaoHao Sun, MingWei Chen, et al Multiscale modeling and theoretical prediction for the thermal conductivity of porous plain-woven carbonized silica/phenolic composites [J] Composite Structures, 2019,215: 278-288.
[12] Luke Borkowski, Aditi Chattopadhyay Multiscale model of woven ceramic matrix composites considering manufacturing induced damage [J] Composite Structures, 2015,126: 62-71.
[13] U.A. Khashaba, Ramzi Othman. Low-velocity impact ofwoven CFRE composites under different temperature levels [J]. International Journal of Impact Engineering, 2017,108: 191-204.
[14] T. Sreekantha Reddy, P. Rama Subba Reddy, Vemuri Madhu. Low velocity impact studies of E-glass/epoxy composite laminates at different thicknesses and temperatures [J]. Defence Technology, 2018,200: 540-554.
[15] Kevin R. Hart, Patrick X.L. Chia, Lawrence E. Sheridan, et al. Mechanisms and characterization of impact damage in 2D and 3D woven fiber-reinforced composites [J]. Composites Part A: Applied Science and Manufacturing, 2017,101: 432-443.
[16] 敖文宏. 低速载荷下机织层合碳纤维复合材料损伤及其仿真研究[D].吉林大学,2018.
Ao Wenhong. Numerical and Experimental Study on Damage Behavior of Woven Carbon Fiber Laminated Composites under Low-Velocity Loading [D].JiLin university, 2018.
[17] G. Kinvi-Dossou, R. Matadi Boumbimba, N. Bonfoh, et al A numerical homogenization of E-glass/acrylic woven composite laminates: Application to low velocity impact [J] Composite Structures, 2018,200: 540-554.
[18] Bin Yang, Zhenqing Wang, Limin Zhou, et al. Experimental and numerical investigation of interply hybrid composites based on woven fabrics and PCBT resin subjected to low-velocity impact [J]. Composite Structures, 2015,132: 464-476.
[19] Xu L, Jin CZ, Ha SK. Ultimate strength prediction of braided textile composites using a multi-scale approach. J Compos Mater 2015;49(4):477–94.
[20] Zhenqiang Zhao, Haoyuan Dang, Chao Zhang. A multi-scale modeling framework for impact damage simulation of triaxially braided composites [J]. Composites Part A: Applied Science and Manufacturing, 2018, 110:113-125.
[21] R. Udhayaraman, Shantanu S. Mulay. Multi-scale approach based constitutive modelling of plain woven textile composites [J]. Computational Materials Science, 2017, 112:172-192.
[22] 周喜辉,铁瑛,李成,等.补片参数对胶接修理碳纤维层合板抗冲击损伤性能的影响[J].振动与冲击,2019,38 (03):271-278.
Zhou Xihui, Tie Ying, Li Cheng ,et al. Effect of patch parameters on anti-impact damage performance of adhesive repaired carbon fiber laminates [J]. Journal of Vibration and Shock, 2019,38 (03):271-278.
[23] 毛振刚，侯玉亮，李成，等. 搭接长度和铺层方式对 CFRP 层合板胶接结构连接性能和损伤行为的影响 [J]. 复合材料学报, 2019, 36
MAO Zhengang, HOU Yuliang, LI Cheng, et al. Effect of lap length and stacking sequence on strength and damage behaviors of adhesively bonded CFRP laminates [J]. Acta Materiae Compositae Sinica, 2019, 36.
[24] Yuliang Hou, Ying Tie, Cheng Li, et al. Low-velocity impact behaviors of repaired CFRP laminates: Effect of impact location and external patch configurations [J]. Composites Part B: Engineering, 2019, 163: 669-680.
[25] Zihui Xia, Yunfa Zhang, Fernand Ellyin. A unified periodical boundary conditions for representative volume elements of composites and applications [J]. International Journal of Solids and Structures, 2003, 40(8):1907-1921.
[26] 严雪, 许希武, 张超. 二维三轴编织复合材料的弹性性能分析[J]. 固体力学学报, 2013, 34(2):140-151.
YAN Xue, XU Xiwu, ZHANG Chao. Analysis of elastic properties of 2D triaxial braided composites [J]. Acta Mechanica Solida Sinica. 2013, 34(2):140-151.
[27] 杨光猛，万小朋，侯赤.纤维束波动效应对平纹编织复合材料损伤行为的影响[J].复合材料学报, 2019,36.
Yang Guangmeng, Wang Xiaopeng, Hou Chi..Damage behavior of plain woven composites considering the undulation effect of fiber bundles [J]. Acta Materiae Compositae Sinica,2019,36.
[28] 罗书舟,陈超,伍乾坤,等. 复合材料单搭接胶接接头低速冲击数值模拟[J].振动与冲击, 2019,38 (01):142-148+186.
Luo Shuzhou, Chen Chao, Wu Qiankun ,et al. Numerical simulation for low velocity impact performances of composite laminates single-lap adhesively bonded joints [J]. Journal of Vibration and Shock, 2019,38 (01):142-148+186.
[29] 刘万雷，常新龙，张晓军，等. 基于改进Hashin准则的复合材料低速冲击损伤研究[J]. 振动与冲击, 2016，35(12):209-214.
Liu Wanlei, Chang Xinlong, Zhang Xiaojun, et al. .Low-velocity impact analysis of composite plates based on modified Hashin criterion [J]. Journal of Vibration and Shock, 2016,35(12):209-214.型；局部均匀化；低速冲击；多尺度模型