基于渐进均匀化的平纹编织复合材料低速冲击多尺度方法

张洁皓; 段玥晨; 侯玉亮; 铁瑛; 李成

doi:10.6052/0459-1879-19-133

基于渐进均匀化的平纹编织复合材料低速冲击多尺度方法

郑州大学机械工程学院, 郑州 450001

基金项目: 1) 国家自然科学基金资助项目(U1333201);国家自然科学基金资助项目(U1833116);国家自然科学基金资助项目(11402234)

详细信息

通讯作者:
李成

中图分类号: TB332
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出版历程
- 收稿日期: 2019-05-21
- 刊出日期: 2019-09-17

MULTI-SCALE METHOD OF PLAIN WOVEN COMPOSITES SUBJECTED TO LOW VELOCITY IMPACT BASED ON ASYMPTOTIC HOMOGENIZATION

School of Mechanical Engineering, Zhengzhou University, Zhengzhou 450001, China

摘要

摘要: 针对平纹编织复合材料低速冲击响应和损伤问题,提出了一种多尺度分析方法. 首先, 建立微观尺度单胞模型,引入周期性边界条件,采用最大主应力失效准则和直接刚度退化模型表征纤维丝和基体的损伤起始与演化,预测了纤维束的弹性性能和强度性能. 其次,将这些性能参数代入介观尺度单胞模型,基于Hashin和Hou的混合失效准则以及连续介质损伤模型对介观尺度单胞进行6种边界条件下的渐进损伤模拟.然后采用渐进均匀化方法,以介观尺度单胞为媒介预测了0$^\circ$和90$^\circ$子胞的性能参数,并建立平纹编织复合材料的子胞模型,进而扩展成为材料的宏观尺度低速冲击模型. 在此基础上,研究了平纹编织复合材料低速冲击下的力学响应与损伤特征.结果表明：宏观冲击仿真和试验吻合较好, 验证了多尺度方法的正确性;最大接触力、材料吸能和分层面积均随冲击能量的增大而增大,分层损伤轮廓逐渐从椭圆形向圆形转化;基体拉伸和压缩损伤的长轴方向分别与子胞材料主方向正交和一致,损伤面积前者远大于后者.
- 平纹编织复合材料 /
- 渐进均匀化 /
- 低速冲击 /
- 多尺度
Abstract: A multi-scale approach was presented to analyze low velocity impact response and damage of plain woven composites. Firstly, by using the maximum principal stress failure criterion and direct stiffness degradation model to characterize the damage initiation and damage evolution of fiber and matrix, micro-scale unit cell under the periodical boundary condition was established to predict the elastic and strength properties of fiber bundles, which were substituted into the meso-scale unit cell. After that, the progressive damage simulation of meso-scale unit cell under six boundary conditions was carried out based on the mixed failure criteria of Hashin and Hou, and continuum damage model. Then the effective properties of 0$^\circ$and 90$^\circ$subcell were predicted based on the asymptotic homogenization method by using meso-scale unit cell as the media, and the subcell model of plain woven composites was established. The subcell model was then extended into a macro-scale low velocity impact model. Based on the above methods, the mechanical response and damage characteristics of plain woven composites under low velocity impact were studied. The results show that macro-scale impact simulation results agree well with experimental results, which verifies the correctness of multi-scale approach. The maximum contact force, absorbed energy and delamination area increase with the increasing impact energy, and the delamination damage morphology gradually transforms from ellipse to circle.The long axis direction of matrix tensile damage and matrix compressive damage are orthogonal and consistent with the material principal direction of subcell respectively, and the damage area of the former is much larger than that of the latter.
- plain woven composites /
- asymptotic homogenization /
- low velocity impact /
- multi-scale

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参考文献(1)

[1]	Zhao ZQ, Dang HY, Zhang C , et al. A multi-scale modeling framework for impact damage simulation of triaxially braided composites. Composites Part A : Applied Science and Manufacturing, 2018,110:113-125
[2]	马丕波, 蒋高明, 高哲等. 纺织结构复合材料冲击拉伸研究进展. 力学进展, 2013,43(3):329-357
[2]	( Ma Pibo, Jiang Gaoming, Gao Zhe , et al. Advances in impact tensile properties of 3-D textile structural composites. Advances in Mechanics, 2013,43(3):329-357(in Chinese))
[3]	郭洪宝, 王波, 贾普荣等. 平纹编织陶瓷基复合材料面内剪切细观损伤行为研究. 力学学报, 2016,48(2):361-368
[3]	( Guo Hongbao, Wang Bo, Jia Purong , et al. Mesoscopic danage behaviors of plain woven ceramic composite under in-plane shear loading. Chinese Journal of Theoretical and Applied Mechanics, 2016,48(2):361-368(in Chinese))
[4]	Zhou Y, Lu ZX, Yang ZY . Progressive damage analysis and strength prediction of 2D plain weave composites. Composites Part B : Engineering, 2013,47:220-229
[5]	郭洪宝, 贾普荣, 王波等. 基于迟滞行为的2D-SiC/SiC复合材料组份力学性能分析. 力学学报, 2015,47(2):260-269
[5]	( Guo Hongbao , JiaPurong, Wang Bo, et al. Study on constituent properties of a 2D-SiC/SiC composite by hysteresis measurments. Chinese Journal of Theoretical and Applied Mechanics, 2015,47(2):260-269(in Chinese))
[6]	杨成鹏, 矫桂琼, 王波等. 2D-C/SiC复合材料的单轴拉伸力学行为及其强度. 力学学报, 2011,43(2):330-337
[6]	( Yang Chengpeng, Jiao Guiqiong, Wang Bo , et al. Uniaxial tensile stress-strain behavior and strength of plain woven C/SiC composite. Chinese Journal of Theoretical and Applied Mechanics, 2011,42(2):330-337(in Chinese))
[7]	Bandaru AK, Chavan VV, Ahmad S , et al. Low velocity impact response of 2d and 3d kevlar/polypropylene composites. International Journal of Impact Engineering, 2016,93:136-143.
[8]	Grasso M, Xu YG, Ramji A , et al. Low-velocity impact behaviour of woven laminate plates with fire retardant resin, Composites Part B: Engineering, 2019,171:1-8
[9]	Wang Y, Chen XG, Young R , et al. Finite element analysis of effect of inter-yarn friction on ballistic impact response of woven fabrics. Composite Structures, 2016,135:8-16
[10]	Palta E, Fang H . On a multi-scale finite element model for evaluating ballistic performance of multi-ply woven fabrics. Composite Structures, 2019,207:488-508
[11]	Carpenter AJ, Anderson CE, Chocron S . Mesoscale simulations of high-velocity impact on plain-weave and 3-D weave S-2 glass targets. Procedia Engineering, 2015,103:60-67
[12]	李裕春, 徐全军, 刘强等. 平头弹冲击作用下平纹织物的动态响应分析. 材料科学与工程学报, 2010,28(3):379-384
[12]	( Li Yuchun, Xu Quanjun , Liu qiang, et al. Dynamic response of plain-woven fabricsubjected to ballistic impact of a flat-nosed projectile. Journal of Materials Science & Engineering, 2010,28(3):379-384(in Chinese))
[13]	Cousigné O, Moncayo D, Coutellier D , et al. Numerical modeling of nonlinearity, plasticity and damage in CFRP-woven composites for crash simulations. Composite Structures, 2014,115:75-88
[14]	Yang B, Wang ZQ, Zhou LM , et al. Experimental and numerical investigation of interply hybrid composites based on woven fabricsand PCBT resin subjected to low-velocity impact. Composite Structures, 2015,132:464-476
[15]	Kinvi-Dossou G, Matadi BR, Bonfoh N , et al. A numerical homogenization of E-glass/acrylic woven composite laminates: Application to low velocity impact. Composite Structures, 2018,200:540-554
[16]	杨扬, 徐绯, 张岳青等. 平纹编织C/SiC复合材料低速冲击数值模拟. 爆炸与冲击, 2015,35(1):22-28
[16]	( Yang Yang, Xu Fei, Zhang Yueqing , et al. Numerical simulation on low-speed impact responseof 2D plain-woven C/SiC composite. Explosion and Shock Waves, 2015,35(1):22-28(in Chinese))
[17]	Wang H, Wang ZW . Quantification of effects of stochastic feature parameters of yarn on elastic properties of plain-weave composite---Part 1: Theoretical modeling. Composites Part A : Applied Science and Manufacturing, 2015,78:84-94
[18]	Wang H, Wang ZW . Quantification of effects of stochastic feature parameters of yarn on elastic properties of plain-weave composite---Part 2: Statistical predictions vs. mechanical experiments. Composites Part A : Applied Science and Manufacturing, 2016,84:147-157
[19]	费庆国, 姜东, 陈素芳等. 高温下编织复合材料热相关参数识别方法研究. 力学学报, 2018,50(3):53-63
[19]	( Fei Qingguo, Jiang Dong, Chen Sufang , et al. Thermal-related parameter identification of braided composites at high temperature. Chinese Journal of Theoretical and Applied Mechanics, 2018,50(3):53-63(in Chinese))
[20]	Dixit A, Mali HS, Misra RK . Unit cell model of woven fabric textile composite for multiscale analysis. Procedia Engineering, 2013,68:352-358
[21]	王新峰 . 机织复合材料多尺度渐进损伤研究. [博士论文]. 南京:南京航空航天大学, 2007
[21]	( Wang Xinfeng . Multi-scale analyses of damage evolution in woven composite materials. [PhD Thesis]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2007(in Chinese))
[22]	Xia ZH, Zhou CW, Yong QL , et al. On selection of repeated unitcell model and application of unified periodic boundary conditions in micro-mechanical analysis of composites. International Journal of Solids and Structures, 2006,43(2):266-278.
[23]	Wang C, Zhong YC, Adaikalaraj PF , et al. Strength prediction for bi-axial braided composites by a multi-scale modelling approach. Journal of Materials Science, 2016,51(12):6002-6018
[24]	Hashin Z . Failure criteria for unidirectional fiber composites. Journal of Applied Mechanics, 1980,47(2):329-334
[25]	Hou JP, Petrinic N, Ruiz C , et al. Prediction of impact damage incomposite plates. Composites Science and Technology, 2000,60(2):273-281
[26]	Tie Y, Hou YL, LI C , et al. An insight into the low-velocity impact behavior of patch-repaired CFRP laminates using numerical and experimental approaches. Composite Structures, 2018,190:179-188
[27]	孙振辉, 铁瑛, 侯玉亮等. 相对冲击位置和补片层数对胶接修理CFRP复合材料层合板抗冲击性能的影响. 复合材料学报, 2019,36(5):1114-1123
[27]	( Sun Zhenhui, Tie Ying, Hou Yuliang , et al. Effect of relative impact location and patch layer number on impact resistance of adhesive repaired CFRP composite laminates. Acta Materiae Compositae Sinica, 2019,36(5):1114-1123(in Chinese))
[28]	Mulay SS , Udhayaraman R. On the constitutive modelling and damage behaviour of plain woven textile composite. International Journal of Solids and Structures, 2019, 156- 157:73-86
[29]	Matadi BR, Coulibaly M, Khabouchi A , et al. Glass fibres reinforced acrylic thermoplastic resin-based tri-block copolymers composites: low velocity impact response at various temperatures. Composite Structures, 2017,160:939-951
[30]	Chamis CC . Mechanics of composites materials: past,present and future. Journal of Composites Technology and Research, 1989,11(1):3-14

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