基于多尺度及ECPL模型的平纹机织复合材料胶-螺混合连接承载性能分析

doi:10.3901/JME.2023.22.287

摘要/Abstract

摘要： 采用多尺度的方法对平纹机织复合材料胶-螺混合连接接头在拉伸载荷下的承载性能进行数值模拟和试验研究。首先从纤维束的微细观尺度出发，根据纤维丝六角形堆积方式和铺层中纤维束的卷曲结构，建立纤维束微观代表性体积单元(Representative volume element，RVE)模型和平纹机织复合材料铺层的细观RVE模型，并基于连续损伤力学模型和三维Hashin失效准则对RVE模型进行有限元仿真分析。然后根据局部均匀化方法，引入一种能够反映铺层间0°和90°纤维束交叉方式的等效交叉层合板(Equivalent cross-ply laminates，ECPL)模型，将细观RVE的性能参数等效为ECPL模型中0°和90°子胞的性能参数。最后，将ECPL模型进行扩展，建立不同搭接参数的平纹机织复合材料胶-螺混合连接宏观尺度有限元模型并进行仿真分析，得到接头的位移-载荷曲线和损伤过程。研究表明，增大搭接长度和宽度均可明显提高接头的峰值载荷和平均刚度；在单螺栓到四螺栓的变化范围内，混合接头的峰值载荷随螺栓数量的增多而增大，平均刚度随之减小；单螺栓搭接接头的承载性能随螺栓直径的增大呈现出先增大后减小的趋势，在这个过程中接头的破坏形式由复合材料板的面内剪切破坏向挤压破坏转变。

关键词: 平纹机织复合材料, 多尺度, 胶-螺混合连接, 承载性能

Abstract: A multi-scale approach is used to numerically simulate and experimentally investigate the load-carrying performance of the hybrid bonded-bolted joints of plain woven composite under tensile loading. Firstly, the micro-scale RVE model of the fiber bundle and the meso-scale RVE model of the cross-ply of plain woven composite are created based on the hexagonal stacking of fiber filaments and the curl structure of fiber bundles in the ply. The finite element analysis of the RVE model is performed based on the continuum damage mechanics model and the 3D Hashin failure criterion. Then an equivalent cross-ply laminates(ECPL) model, representing the 0° and 90° fiber bundles crossing pattern between plies is proposed based on the local homogenization method. The properties of the mesoscale RVE are equated to those of the 0° and 90° subcells in the ECPL model. Finally, the ECPL model is extended to build a macro-scale finite element model of the hybrid bonded-bolted joint for plain woven composite with different lap parameters and simulated to obtain the displacement-load curves and damage process of the joints. The study shows that increasing the lap length and width can significantly improve the peak load and average rigidity of the joints; in the range of single bolt to four bolts, the peak load increases with the increase of the number of bolts but the average rigidity decreases; the load-carrying performance of the single bolt lap joint shows a trend of increasing and then decreasing with the increase of the bolt diameter, and the damage form of the joints changes from in-plane shear damage to extrusion damage in this process.

Key words: plain woven composites, multi-scale, hybrid bonded-bolted joint, load-carrying performance

中图分类号:

TB332

杨亚旭, 时建纬, 李成, 陈栋. 基于多尺度及ECPL模型的平纹机织复合材料胶-螺混合连接承载性能分析[J]. 机械工程学报, 2023, 59(22): 287-301.

YANG Yaxu, SHI Jianwei, LI Cheng, CHEN Dong. Multi-scale and ECPL Model Based Loading Capacity Analysis of Hybrid Bond-bolted Joint for Plain Woven Composite[J]. Journal of Mechanical Engineering, 2023, 59(22): 287-301.

参考文献

[1] 马志阳,高丽敏,徐吉峰. 复合材料在大飞机主承力结构上的应用与发展趋势[J]. 航空制造技术, 2021, 64(11):24-30. MA Zhiyang, GAO Limin, XU Jifeng. Application and development for composite primary structure in large aircraft[J]. Aeronautical Manufacturing Technology, 2021, 64(11):24-30.
[2] 黄志超,陈伟达,程雯玉,等. 复合材料连接技术进展[J]. 华东交通大学学报, 2013, 30(4):1-6. HUANG Zhichao, CHEN Weida, CHENG Wenyu, et al. Development of composite connection techniques[J]. Journal of East China Jiaotong University, 2013, 30(4):1-6.
[3] 马毓,赵启林. 复合材料胶-螺混合连接接头承载力分析[J]. 复合材料学报, 2011, 28(4):225-230. MA Yu, ZHAO Qilin. Analysis of the bonded-bolted hybrid composite joints' carrying capacity[J]. Acta Materiae Compositae Sinica, 2011, 28(4):225-230.
[4] 赵馨怡,黄盛楠,冯鹏,等. 复合材料胶栓混合连接机理的试验研究[J]. 工程力学, 2015, 32(S1):314-321. ZHAO Xinyi, HUANG Shengnan, FENG Peng, et al. Experimental research on hybrid connecting method for FRP constructional elements[J]. Engineering Mechanics, 2015, 32(S1):314-321.
[5] KWEON J H, JUNG J W, KIM T H, et al. Failure of carbon composite-to-aluminum joints with combined mechanical fastening and adhesive bonding[J]. Composite Structures, 2006, 75(1):192-198.
[6] ZHANG Hongzhuang, LI Changyou, XU Mengtao, et al. A novel method for damage analysis of CFRP single-lap bolted, bonded and hybrid joints under compression[J]. Composite Structures, 2020, 251:112636.
[7] KELLY G. Quasi-static strength and fatigue life of hybrid (bonded/bolted) composite single lap joints[J]. Composite Structures, 2006, 72(1):119-129.
[8] ROSKOWICZ M, GODZIMIRSKI J, KOMOREK A, et al. Influence of the arrangement of mechanical fasteners on the static strength and fatigue life of hybrid joints[J]. Materials, 2020, 13(23):5308.
[9] 程小全,汪源龙,张纪奎,等. 平面编织复合材料胶螺混合连接接头拉伸性能分析[J]. 固体力学学报, 2011, 32(4):346-352. CHENG Xiaoquan, WANG Yuanlong, ZHANG Jikui, et al. Tensile performance analysis of combined adhesive and bolted joints for plain woven composites[J]. Chinese Journal of Solid Mechanics, 2011, 32(4):346-352.
[10] 陈洋. 二维三轴混合编织复合材料和钢板单搭接接头的力学性能研究[D]. 重庆:重庆大学, 2019. CHEN Yang. Study on the mechanical properties of single lap joints made by two-dimensional triaxial hybrid braided composites and steel sheet[D]. Chongqing:Chongqing University, 2019.
[11] MULAY S S, UDHAYARAMAN R. On the constitutive modelling and damage behaviour of plain woven textile composite[J]. International Journal of Solids and Structures, 2019, 156:73-86.
[12] 王新峰,周光明,周储伟,等. 基于周期性边界条件的机织复合材料多尺度分析[J]. 南京航空航天大学学报, 2005, 37(6):730-735. WANG Xinfeng, ZHOU Guangming, ZHOU Chuwei, et al. Multi-scale analyses of woven composite based on periodical boundary condition[J]. Journal of Nanjing University of Aeronautics and Astronautics, 2005, 37(6):730-735.
[13] LIAO Binbin, TAN Huancheng, ZHOU Jianwu, et al. Multi-scale modelling of dynamic progressive failure in composite laminates subjected to low velocity impact[J]. Thin-Walled Structures, 2018, 131:695-707.
[14] ZHOU Yuan, LU Zixing, YANG Zhenyu. Progressive damage analysis and strength prediction of 2D plain weave composites[J]. Composites Part B:Engineering, 2013, 47:220-229.
[15] 王新峰. 机织复合材料多尺度渐进损伤研究[D]. 南京: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.
[16] UDHAYARAMAN R, MULAY S S. Multi-scale approach based constitutive modelling of plain woven textile composites[J]. Mechanics of Materials, 2017, 112:172-192.
[17] HASHIN Z. Failure criteria for unidirectional fiber composites[J]. Journal of Applied Mechanics, 1980, 47(2):329-334
[18] HOU Jingping, PETRINIC N, RUIZ C, et al. Prediction of impact damage in composite plates[J]. Composites Science Technology, 2000, 60(2):273-281.
[19] 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(3):271-278. ZHOU Xihui, TIE Ying, LI Cheng, et al. Effects of patch parameters on anti-impact damage performance of adhesive repaired carbon fiber laminates[J]. Journal of Vibration and Shock, 2019, 38(3):271-278.
[20] TIE Ying, HOU Yuliang, LI Cheng, et al. An insight into the low-velocity impact behavior of patch-repaired CFRP laminates using numerical and experimental approaches[J]. Composite Structures, 2018, 190:179-188.
[21] 薛亚红,陈继刚,闫世程,等. 二维机织复合材料力学分析中的周期性边界条件研究[J]. 纺织学报, 2016, 37(9):70-77. XUE Yahong, CHEN Jigang, YAN Shicheng, et al. Periodic boundary conditions for mechanical property analysis of 2-D woven fabric composite[J]. Journal of Textile Research, 2016, 37(9):70-77.
[22] WANG Chen, ZHONG Yucheng, JI Xianbai, et al. Strength prediction for bi-axial braided composites by a multi-scale modelling approach[J]. Journal of Materials Science, 2016, 51(12):6002-6018.
[23] CHAMIS C C. Mechanics of composites materials:past, present and future[J]. Journal of Composites Technology and Research, 1989, 11(1):3-14.
[24] CAMPILHO R D S G, BANEA M D, NETO J A B P, et al. Modelling adhesive joints with cohesive zone models:Effect of the cohesive law shape of the adhesive layer[J]. International Journal of Adhesion and Adhesives, 2013, 44(7):48-56.
[25] HOU Yuliang, TIE Ying, LI Cheng, 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.
[26] 冯振宇,李恒晖,刘义,等. 中低应变率下7075-T7351铝合金本构与失效模型对比[J]. 材料导报, 2020, 34(12):12088-12093. FENG Zhenyu, LI Henghui, LIU Yi, et al. Comparison of constitutive and failure models of 7075-7351 alloy at intermediate and low strain rates[J]. Materials Reports, 2020, 34(12):12088-12093.
[27] HUANG Weibo, ZHANG Yimin, DAI Weibing, et al. Mechanical properties of 304 austenite stainless steel manufactured by laser metal deposition[J]. Materials Science and Engineering:A, 2019, 758:60-70.
[28] ZHANG Hanyu, ZHANG Lei, LIU Zhao, et al. Research in failure behaviors of hybrid single lap aluminum-CFRP (plain woven) joints[J]. Thin-Walled Structures, 2021, 161:107488.
[29] MEHRABIAN M, BOUKHILI R. 3D-DIC strain field measurements in bolted and hybrid bolted-bonded joints of woven carbon-epoxy composites[J]. Composites Part B:Engineering, 2021, 218:108875.
[30] ZHAO Libin, AN Xin, LIU Fengrui, et al. Secondary bending effects in progressively damaged single-lap, single-bolt composite joints[J]. Results in Physics, 2016, 6:704-711.
[31] 王涛,侯玉亮,铁瑛,等. 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, et al. 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.
[32] 马晓龙,李成,铁瑛,等. 搭接长度对平纹机织复合材料胶接结构连接性能影响的多尺度分析[J]. 机械工程学报, 2020, 56(22):101-111. MA Xiaolong, LI Cheng, TIE Ying, et al. Multiscale analysis on the effect of lap length on bonding strength of adhesively bonding structures of plain weave composites[J]. Journal of Mechanical Engineering, 2020, 56(22):101-111.
[33] SUN Ligang, TIE Ying, HOU Yuliang, et al. Prediction of failure behavior of adhesively bonded CFRP scarf joints using a cohesive zone model[J]. Engineering Fracture Mechanics, 2020, 228:106897.