摘要
针对复合材料低速冲击损伤模式复杂多样以及损伤评估时损伤表征参数选取和简化困难的问题,通过编写VUMAT子程序,采用三维Hashin准则和Cohesive界面单元建立了复合材料从低速冲击损伤发生到损伤后压缩破坏的全过程仿真分析模型,用于复合材料低速冲击损伤评估,考虑了复合材料损伤模式的多样性,规避了损伤表征参数的选取和简化问题。分别进行了复合材料低速冲击试验和冲击后压缩试验,从冲击响应、损伤情况和剩余强度三方面将试验结果和仿真结果进行了对比,对比效果良好,表明建立的模型适用于复合材料低速冲击损伤评估。采用该模型进一步对冲击能量和冲击角度对损伤的影响进行了探讨。
A method was established to evaluate low-velocity impact damage of composite material by constructing a simulation analysis model for the whole process of composite material starting from initial low-velocity impact damage to compressive damage through writing the subroutine of VUMAT based on the 3 D Hashin criterion and Cohesive interface element, considering the diversity of composite material's damage modes and avoiding problems of choosing and simplifying damage characterization parameters. Both composite material low-velocity impact tests and compression tests after impact were conducted. The test results were compared with those of simulation in three aspects of impact response, damage level and residual strength. They agreed well with each other. It was shown that the constructed model can effectively evaluate the low-velocity impact damage of composite material. Finally, the effects of impact energy and impact angle on damage were explored using this model.
引文
[1] 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):210-215.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):210-215.
[2] 秦建兵,韩志军,刘云雁,等.复合材料层合板侵彻行为的研究[J].振动与冲击,2013,32(24):122-126.QIN Jianbing,HAN Zhijun,LIU Yunyan,et al.Penetration behavior of composite laminated plates[J].Journal of Vibration and Shock,2013,32(24):122-126.
[3] TANG Z,HANG C,SUO T,et al.Numerical and experimental investigation on hail impact on composite panels[J].International Journal of Impact Engineering,2017,105(5):102-108.
[4] AMARO A M,REIS P N B,MAGALHAES A G,et al.The influence of the boundary conditions on low-velocity impact composite damage[J].Strain,2011,47(Sup1):220-226.
[5] PUHUI C,ZHEN S,JUNYANG W.A new method for compression after impact strength prediction of composite laminates[J].Journal of Composite Materials,2002,36(5):589-610.
[6] SOUTIS C,SMITH F C,MATTHEWS F L.Predicting the compressive engineering performance of carbon fibre-reinforced plastics[J].Composites Part A Applied Science & Manufacturing,2000,31(6):531-536.
[7] XIONG Y,POON C,STRAZNICKY P V,et al.A prediction method for the compressive strength of impact damaged composite laminates[J].Composite Structures,1995,30(4):357-367.
[8] 燕瑛,曾东.复合材料层板低速冲击剩余强度的研究[J].航空学报,2003,24(2):137-139.YAN Ying,ZENG Dong.Study on the post-impact compressive strength of composite laminates[J].Chinese Journal of Aeronautics,2003,24(2):137-139.
[9] 贾建东,丁运亮,刘晓明.复合材料层合板冲击后剩余强度的工程估算方法和有限元模拟分析[J].南京航空航天大学学报,2010,42(3):335-339.JIA Jiandong,DING Yunliang,LIU Xiaoming.Engineering and FEM methods for evaluating compressive strength after impact for composite laminates[J].Journal of Nanjing University of Aeronautics & Astronautics,2010,42(3):335-339.
[10] 王波,徐绯,刘亚各.含预置损伤复合材料加筋板的单轴压缩屈曲分析[J].应用力学学报,2013,30(1):115-119.WANG Bo,XU Fei,LIU Yage.Buckling analysis of composite stiffened panels with pre-damage under uniaxial compression[J].Chinese Journal of Applied Mechanics,2013,30(1):115-119.
[11] HASHIN Z.Failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1980,47(2):329-334.
[12] HASHIN Z.Fatigue failure criteria for unidirectional fiber composites[J].Journal of Applied Mechanics,1981,47(2):329-334.
[13] CAMANHO P P.A progressive damage model for mechanically fastened joints in composite laminates[J].Journal of Composite Materials,1999,33(24):2248-2280.
[14] ASTM D7136/D7136M-12.Standard test method for measuring the damage resistance of a fiber-reinforced polymer matrix composite to a drop-weight impact event[S].2012.
[15] ASTM D7137/D7137M-12.Standard test method for compressive residual strength properties of damaged polymer matrix composite plates[S].2012.
[16] 徐颖,温卫东,崔海坡.复合材料层合板低速冲击逐渐累积损伤预测方法[J].材料科学与工程学报,2006,24(1):77-81.XU Ying,WEN Weidong,CUI Haibo.A cumulative damage prediction of low-velocity impacts on laminated composites[J].Journal of Materials Science & Engineering,2006,24(1):77-81.
[17] 蓝友泽,朱亮,徐志伟.复合材料机翼格栅结构低速冲击损伤仿真研究[J].复合材料学报,2013,30(2):165-172.LAN Youze,ZHU Liang,XU Zhiwei.Simulation research on impact damages under low velocities of composite grid structures for aircraft wing[J].Acta Material Composite Sinica,2013,30(2):165-172.
[18] MOURA M F S F D,GON?ALVES J P M.Modelling the interaction between matrix cracking and delamination in carbon-epoxy laminates under low velocity impact[J].Composites Science & Technology,2004,64(7/8):1021-1027.
[19] 滕锦,李斌太,庄茁.z-pin增韧复合材料层合板低速冲击损伤过程研究[J].工程力学,2006,23(增刊1):209-216.TENG Jin,LI Bintai,ZHUANG Zhuo.A study on low-velocity impact damage of z-pin reinforced laminates[J].Engineering Mechanics,2006,23(Sup1):209-216.