基于一元二次函数的层联机织预制体细观结构表征

doi:10.13475/j.fzxb.20201100108

纺织学报 ›› 2021, Vol. 42 ›› Issue (08): 76-83.doi: 10.13475/j.fzxb.20201100108

基于一元二次函数的层联机织预制体细观结构表征

任丽冰¹^,², 陈利¹^,²(), 焦伟¹^,²

1.天津工业大学纺织科学与工程学院, 天津 300387
2.天津工业大学先进纺织复合材料教育部重点实验室, 天津 300387

收稿日期:2020-11-02 修回日期:2021-03-12 出版日期:2021-08-15 发布日期:2021-08-24
通讯作者: 陈利
作者简介:任丽冰(1994—),女,硕士生。主要研究方向为立体机织复合材料。
基金资助:
山西省科技重大专项资助项目(20181102022);天津市科技重大专项与工程项目(18ZXJMTG00190);天津市高等学校创新团队培养计划项目(TD13-5043)

Microstructure characterization of multi-layer interlocked woven preforms based on quadratic functions

REN Libing¹^,², CHEN Li¹^,²(), JIAO Wei¹^,²

1. School of Textile Science and Engineering, Tiangong University, Tianjin 300387, China
2. Key Laboratory of Advanced Textile Composites Materials, Ministry of Education, Tiangong University, Tianjin 300387, China

Received:2020-11-02 Revised:2021-03-12 Published:2021-08-15 Online:2021-08-24
Contact: CHEN Li

摘要/Abstract

摘要：

织物预制体结构参数之间的相互关系是高性能复合材料设计需要解决的关键问题。为建立层联机织预制体的细观几何关系,通过显微观察和结构分析提出基于一元二次函数的抛物线凸透镜形纬纱横截面、抛物线形经纱路径等假设,通过研究典型的多层平纹层间联锁结构层联机织预制体,建立预制体全厚度单胞模型,推导其细观结构参数的几何表达,获得纱线横截面变异系数、预制体厚度和纤维体积含量的计算方法,从而实现预制体结构的细观设计。通过实测值和理论预测值的对比,验证了该细观模型的有效性和合理性,并确定了层联机织平纹预制体的纱线填充因子取值区间为0.73~0.87。

关键词: 层联机织预制体, 细观结构, 结构参数, 厚度, 纤维体积含量, 复合材料

Abstract:

The relationship between the structural parameters of textile preforms is a key factor to the design of high-performance composite materials. In order to establish the microstructural relationship of the multi-layer interlocked woven preform, the assumptions that the weft cross section is a parabolic biconvex lens and the warp path is a parabolic wave based on the quadratic function were proposed through microscopic observation and structural analysis. The multi-layer interlocked woven preform with the typical layer-to-layer interlocked plain woven structure was studied and a through-thickness cell model was established. Then the relationship between the microstructure parameters was obtained, and the variation coefficient of the yarn cross-section, preform thickness and fiber volume fraction were able to be calculated. Then the microstructure of preforms was designed through above analysis and calculation. The validity and rationality of the microstructural model were verified through the comparison between the experimental data and the theoretical results. The yarn packing factor of the multi-layer interlocked woven preform was confirmed in the range of 0.73 to 0.87.

Key words: multi-layer interlocked woven preform, microstructure, structure parameter, thickness, fiber volume fraction, composite material

中图分类号:

TB332

任丽冰, 陈利, 焦伟. 基于一元二次函数的层联机织预制体细观结构表征[J]. 纺织学报, 2021, 42(08): 76-83.

REN Libing, CHEN Li, JIAO Wei. Microstructure characterization of multi-layer interlocked woven preforms based on quadratic functions[J]. Journal of Textile Research, 2021, 42(08): 76-83.

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参考文献 11

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预制体编号	经纱线密度/tex	纬纱线密度/tex	纱线体积密度/ (g·cm^-3)	经密/ (根·cm^-1)	纬密/ (根·cm^-1)	经纱层数	纬纱层数
J8W2.50	890	890	1.79	8	2.50	10	11
J8W3.00	890	890	1.79	8	3.00	10	11
J8W3.15	890	890	1.79	8	3.15	9	10

预制体编号	S₁/mm²	S₂/mm²	S₃/mm²	S/mm²	ε₁	ε₂	ε₃
J8W2.50	0.660 7	0.667 1	0.666 1	0.497 2	0.750	0.745	0.746
J8W3.00	0.587 1	0.585 2	0.583 4	0.497 2	0.847	0.850	0.852
J8W3.15	0.603 7	0.602 5	0.602 8	0.497 2	0.824	0.825	0.825

预制体编号	横截面厚度W/mm			横截面变异系数μ/mm
预制体编号	实测值	理论值	文献[6]值	实测值	理论值	文献[6]值
J8W2.50	0.525	0.530	0.442	2.383	2.361	2.828
J8W3.00	0.473	0.468	0.442	2.647	2.678	2.828
J8W3.15	0.473	0.482	0.442	2.646	2.595	2.828

预制体编号	横截面厚度 D/mm			横截面变异系数λ/mm
预制体编号	实测值	理论值	文献[6]值	实测值	理论值	文献[6]值
J8W2.50	0.537	0.529	0.533	3.634	3.559	2.857
J8W3.00	0.565	0.545	0.545	2.930	2.954	2.727
J8W3.15	0.580	0.575	0.542	2.763	2.736	2.691

预制体编号	横截面厚度 d/mm			横截面变异系数τ/mm
预制体编号	实测值	理论值	文献[6]值	实测值	理论值	文献[6]值
J8W2.50	0.220	0.226	0.533	13.756	13.306	2.857
J8W3.00	0.229	0.236	0.545	11.567	10.752	2.727
J8W3.15	0.242	0.250	0.542	10.320	9.972	2.691

基于一元二次函数的层联机织预制体细观结构表征

Microstructure characterization of multi-layer interlocked woven preforms based on quadratic functions

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参考文献 11

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预制体编号	厚度					纤维体积含量
预制体编号	实测值/mm	理论值/mm	相对误差/%	文献 [6]值/mm	文献[6]相对误差/%	实测值/%	理论值/%	相对误差/%	文献 [6]值/%	文献[6]相对误差/%
J8W2.50	11.628	11.574	-0.46	11.164	-3.99	51.52	51.56	0.08	53.38	3.62
J8W3.00	10.978	10.989	0.10	11.295	2.89	58.31	58.36	0.07	58.28	-0.05
J8W3.15	10.522	10.401	-1.15	10.281	-2.29	58.01	57.47	-0.93	58.82	1.39

预制体编号	经纬纱填充因子ε	厚度			纤维体积含量
预制体编号	经纬纱填充因子ε	理论值/mm	实测值/mm	误差/%	理论值/%	实测值/%	误差/%
J8W2.50	0.700	12.431	11.628	6.91	48.67	51.52	-5.54
	0.725	11.988		3.10	50.09		-2.77
	0.750	11.575		-0.46	51.53		0.03
	0.775	11.190		-3.77	52.98		2.83
	0.800	10.831		-6.85	54.42		5.64
	0.825	10.490		-9.79	55.90		8.50
	0.850	10.174		-12.50	57.36		11.33
	0.875	9.874		-15.08	58.83		14.19
	0.900	9.595		-17.48	60.29		17.02
J8W3.00	0.700	13.482	10.978	22.81	50.02	58.31	-14.22
	0.725	12.989		18.32	51.38		-11.88
	0.750	12.532		14.16	52.75		-9.53
	0.775	12.107		10.28	54.13		-7.17
	0.800	11.710		6.67	55.51		-4.80
	0.825	11.339		3.29	56.90		-2.42
	0.850	10.991		0.12	58.30		-0.02
	0.875	10.664		-2.86	59.70		2.38
	0.900	10.357		-5.66	61.10		4.79