基于混合韦伯分布的碳纤维针刺毡结构表征
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摘要
为研究碳纤维针刺毡的结构并对其参数化表征,基于混合韦伯(Weibull)分布分析了3种碳纤维针刺毡的结构参数。对碳纤维针刺毡的纤维长度分布进行了拟合,并分析了造成纤维长度分布规律不同的原因。采用纯弯梁模型模拟碳纤维在针刺毡中的弯曲状态,并对弯曲参数进行了统计分析。结果表明,采用混合Weibull分布模型分析碳纤维针刺毡的内部结构,可真实反映参数指标的分布规律。无论是纤维长度还是纤维的弯曲参数,拟合曲线都有较高的拟合度。此外,采用纯弯梁模型模拟弯曲的碳纤维,不仅可模拟纤维在针刺毡中的弯曲形貌,还可将测量结果用于碳纤维针刺毡的参数化建模。
To study the structure of carbon fiber needled felts and characterize parameterized,we studied the structure parameters of three kinds of carbon fiber needled felts based on mixed Weibull distribution.The fitting curves of fiber length distributions were obtained,and the differences were discussed. The beam under pure bending model was used to simulate the curved fiber,and the bending parameters were obtained. The results show that the mixed Weibull distribution could be used to analyze the structure of carbon fiber needled felts. The fitting curves are well consonant with the observation data. In addition,by regarding the curved carbon fiber as beam under pure bending,the structure of curved fibers could be simulated,which could be used to generate the 3-D geometric model of carbon fiber needled felts.
To study the structure of carbon fiber needled felts and characterize parameterized,we studied the structure parameters of three kinds of carbon fiber needled felts based on mixed Weibull distribution.The fitting curves of fiber length distributions were obtained,and the differences were discussed. The beam under pure bending model was used to simulate the curved fiber,and the bending parameters were obtained. The results show that the mixed Weibull distribution could be used to analyze the structure of carbon fiber needled felts. The fitting curves are well consonant with the observation data. In addition,by regarding the curved carbon fiber as beam under pure bending,the structure of curved fibers could be simulated,which could be used to generate the 3-D geometric model of carbon fiber needled felts.
引文
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[2]CHEN Xiaoming,CHEN Li,ZHANG Chunyan,et al.Three-dimensional needle-punching for composites:A review[J].Composites Part A,2016,85:12-30.
[3]LEE Seung-hwan,NOGUCHI Hiroshi,KIM Young-bae.Effect of interleaved nonwoven carbon tissue on interlaminar fracture toughness of laminated composites:part I:mode II[J].Journal of Composite Materials,2002,36(18):2153-2168.
[4]XU Huajie,ZHANG Litong,CHENG Laifei.Effects of yarn size and Z-yarn density on the interlaminar shear properties of two Z-reinforced 3D C/Si C composites[J].Materials and Design,2014,64(9):434-440.
[5]HEARLE J W S,PURDY A T.The structure of needle punched fabric[J].Fibre Science and Technology,1971,4(2):81-100.
[6]CHEN Zhen,FANG Guodong,XIE Junbo,et al.Experimental study of high-temperature tensile mechanical properties of 3D needled C/C-Si C composites[J].Materials Science and Engineering A,2016,654:271-277.
[7]YANG Bei,ZHOU Xingui,YU Jinshan.The properties of Cf/Si C composites prepared from different precursors[J].Ceramics International,2015,41:4207-4213.
[8]LI Diansen,LUO Gan,YAO Qianqian,et al.High temperature compression properties and failure mechanism of 3D needle-punched carbon/carbon composites[J].Materials Science and Engineering A,2015,621:105-110.
[9]XU Huajie,ZHANG Litong,CHENG Laifei.The yarn size dependence of tensile and in-plane shear properties of three-dimensional needled textile reinforced ceramic matrix composites[J].Materials and Design,2015,67:428-435.
[10]XIE Junbao,LIANG Jun,FANG Guodong,et al.Effect of needling parameters on the effective properties of 3D needled C/C-Si C composites[J].Composites Science and Technology,2015,117:69-77.
[11]HAO Mingyang,LUO Ruiying,XIANG Qiao,et al.Effects of fiber-type on the microstructure and mechanical properties of carbon/carbon composites[J].New Carbon Materials,2014,29(6):444-453.
[12]JI Alin,CUI Hong,LI Hejun,et al.Performance analysis of a carbon cloth/felt layer needled perform[J].New Carbon Materials,2011,26(2):109-116.
[13]CHEN Tengfei,LIAO Jiqiao,LIU Genshan,et al.Effects of needle-punched felt structure on the mechanical properties of carbon/carbon composites[J].Carbon,2003,41:993-999.
[14]林倩,严广松,郁崇文.棉纤维长度分布密度函数的非参数核估计[J].纺织学报,2008,29(11):22-25.LIN Qian,YAN Guangsong,YU Chongwen.Nonparameter kernel estimation of density function of cotton fiber length[J].Journal of Textile Research,2008,29(11):22-25.
[15]严广松.基于密度函数方法的纤维长度分布影响研究[D].上海:东华大学,2009:20-32.YAN Guangsong.Study on the influence of fiber length distribution based on Probabilistic density funetion[D].Shanghai:Donghua University,2009:20-32.
[16]匡雪琴,杨建平,郁崇文.混合Weibull分布在棉纤维长度分布表征上的应用[J].纺织学报,2014,35(6):35-39.KUANG Xueqin,YANG Jianping,YU Chongwen.Application of mixed Weibull distribution in discription of cotton fiber length distribution[J].Journal of Textile Research,2014,35(6):35-39.
[17]KUANG Xueqin,HU Yuanbo,YANG Jianping,et al.Application of finite mixture model in cotton fiber length probability distribution[J].Journal of the Textile Institute,2015,106(2):146-151.
[18]KUANG Xueqin,YU Chongwen.Generating cotton fiber length probability density function from fiber length parameters by finite mixture model[J].Journal of the Textile Institute,2015,106(6):655-662.
[19]胡琪,田艳红,张学军,等.碳纤维用环氧树脂上胶剂的改性研究[J].北京化工大学学报(自然科学版),2013,40(1):69-73.HU Qi,TIAN Yanhong,ZHANG Xuejun,et al.The effect of a curing agent on epoxy resin emulsion sizing of carbon fibers[J].Journal of Beijing University of Chemical Technology(Natural Science Edition),2013,40(1):69-73.