二维编织碳纤维增强树脂复合材料一步法铺层展开

鲍益东; 何瑞; 宋云鹤; 罗维; 陈贵勇; 安鲁陵

doi:10.13801/j.cnki.fhclxb.20210820.003

二维编织碳纤维增强树脂复合材料一步法铺层展开

doi: 10.13801/j.cnki.fhclxb.20210820.003

1.
南京航空航天大学　机电学院，南京 210016
2.
航空工业成都飞机工业(集团)有限责任公司　复材车间，成都 501100

基金项目: 国家自然科学基金面上项目(51975280)

详细信息

通讯作者:
鲍益东，博士，副教授，硕士生导师，研究方向为有限元仿真、计算固体力学　E-mail：baoyd@nuaa.edu.cn

中图分类号: TB332
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出版历程
- 收稿日期: 2021-06-15
- 修回日期: 2021-07-27
- 录用日期: 2021-08-06
- 网络出版日期: 2021-08-20
- 刊出日期: 2022-07-30

One-step spreading for 2D woven carbon fiber reinforced plastics

1.
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
2.
Composites Workshop, Avic Chengdu Aircraft Industrial (Group) Co., Ltd., Chengdu 501100, China

摘要

摘要: 二维编织碳纤维增强树脂复合材料的铺层展开质量对铺覆过程和产品质量有直接且显著的影响。本文针对二维编织碳纤维增强树脂复合材料铺层展开问题进行了研究，建立复合材料材料、随体和全局坐标系，并基于连续介质理论根据坐标系间的转换关系构建了非正交各向异性本构模型；完成了二维编织碳纤维增强树脂复合材料力学性能试验，包括测量复合材料拉伸性能的单向拉伸试验和测量剪切性能的镜框剪切试验；开发了二维编织碳纤维增强树脂复合材料一步法铺层展开算法并基于FORTRAN语言编写了自主可控的一步法铺层展开求解器。计算了口盖零件展开构型，展开构型轮廓线与实验结果分布趋势相同且最大误差仅为5.0 mm，相对误差仅为1.9%；剪切角计算结果与实验分布趋势一致且最大误差仅为4°，验证了一步法铺层展开算法和求解器的有效性。
- 二维编织碳纤维增强树脂复合材料 /
- 预浸料铺层 /
- 本构模型 /
- 铺层展开 /
- 有限元分析(FEA)
Abstract: Draping for 2D woven carbon fiber reinforced plastics (CFRPs) influences the quality of final composite parts directly and significantly. The problems of laying reinforced carbon fibers in the manufacturing of 2D woven CFRPs were studied. A material coordinate system, a global coordinate system and a body coordinate system were built. A non-orthogonal constitutive model according to coordinate transformation relation was proposed based on continuum theory. Mechanical properties of 2D woven CFRPs were tested by uni-axial tensile tests for measuring the tensile properties and picture-frame tests for measuring the shear properties. A one-step plies spreading algorithm for 2D woven CFRPs was developed and an independent one-step plies spreading solver was developed. A cover part was spread. The result shows great consistency that the maximum error is only 5.0 mm which is a 1.9% margin of error. The carbon fiber shear angle distributions by calculation are consistent with experimental results and the maximum error is only 4°. The one-step spreading algorithm of 2D woven CFRPs was verified by calculations and experiments.
- 2D woven carbon fiber reinforced plastics /
- prepreg lay-up /
- constitutive model /
- plies spreading /
- finite element analysis (FEA)

HTML全文

图 1 复合材料一步法铺层展开算法流程图

Figure 1. Flow diagram of the one-step lay-up algorithm for composites

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图 2 复合材料一步法铺层展开算法示意图

Figure 2. Schematic diagram of the one-step lay-up algorithm for composites

C⁰—Initial configuration; C—Part configuration; p⁰ and q⁰ points on C⁰ correspond to the p and q points on C; X_p, X_q. X_p⁰ and X_q⁰—Coor-dinate vector of point p, q, p⁰ and q⁰; u_p and u_q—Displacement of point p and q; z⁰ and z—Co-ordinates along thickness direction of point q⁰ and q; n and n⁰—Normal of C and C⁰; h and h⁰—Thickness of C and C⁰

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图 3 单向拉伸试验

Figure 3. Uni-axial tensile test

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图 4 T300/Cycom970复合材料二维编织预浸料单向拉伸试验拉力-位移曲线

Figure 4. Tensile load-displacement curves of uni-axial tensile tests of 2D woven prepreg of T300/Cycom970 composites

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图 5 T300/Cycom970复合材料二维编织预浸料单向拉伸试验真实应力-真实应变曲线

Figure 5. True stress-strain curve of uni-axial tensile tests of 2D woven prepreg of T300/Cycom970 composites

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图 6 镜框剪切试验

Figure 6. Picture-frame test

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图 7 T300/Cycom970复合材料二维编织预浸料镜框剪切试验拉力-位移曲线

Figure 7. Tensile load-displacement curves of picture-frame tests of 2D woven prepreg of T300/Cycom970 composites

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图 8 镜框剪切试验试样变形示意图

Figure 8. Sample deformation diagram of the picture-frame tests

A—Vertex of the picture-frame fixture; L_frame—Length of the fixture; L_fabric—Length of the fiber sample; F_load—Tension of the test; ΔL—Displacement of A; F_s—Partial force of tension acting on the side direction of the picture-frame

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图 9 T300/Cycom970复合材料二维编织预浸料镜框剪切试验剪切应力-剪切角曲线

Figure 9. Shear stress-shear angle curve of picture-frame tests of 2D woven prepreg of T300/Cycom970 composites

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图 10 二维编织碳纤维增强树脂复合材料变形特征示意图

Figure 10. Diagram of deformation characteristics of 2D woven carbon fiber reinforced plastics

θ—Angle between the warp and the weft of the material

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图 11 二维编织碳纤维增强树脂复合材料微元应变分量示意图

Figure 11. Diagram of the strain components of element of 2D woven carbon fiber reinforced plastics

ε_x_’, ε_y_’, ε_x’y_’ and ε_y’x_’—Components of strain under the body coordinate system (x', y'); ε_ζ, ε_η, ε_ζη and ε_ηζ—Components of strain under the material coordinate system (ζ, η)

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图 12 二维编织碳纤维增强树脂复合材料应力分量示意图

Figure 12. Diagram of stress components of 2D woven carbon fiber reinforced plastics

α—Angle between the weft of the material and the x-axis of the global coordinate system; σ_ζ, σ_η—Components of strain caused by yarn stretch; σ_m1, σ_m2—Components of strain caused by yarn rotation; σ_x, σ_y—Components of stress along x-axil and y-axil on a macro scale; σ_xy, σ_yx—Components of shear stress on a macro scale

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图 13 二维编织碳纤维增强树脂复合材料口盖零件试件

Figure 13. Cover part of 2D woven carbon fiber reinforced plastics

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图 14 二维编织碳纤维增强树脂复合材料一步法铺层展开口盖零件模型

Figure 14. Model of cover part of 2D woven carbon fiber reinforced plastics spreading

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图 15 二维编织碳纤维增强树脂复合材料口盖零件[ 0°/90°]方向铺层展开轮廓线对比图

Figure 15. Comparison of the outline lines of the cover part laminated in the direction of [0°/90°] of 2D woven carbon fiber reinforced plastics

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图 16 二维编织碳纤维增强树脂复合材料口盖零件[ 0°/90°]方向铺层碳纤维角度分布云图

Figure 16. Cloud of angle distribution of carbon fiber of the cover part laminated in the direction of [0°/90°] of 2D woven carbon fiber reinforced plastics

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图 17 二维编织碳纤维增强树脂复合材料口盖零件[ 45°/−45°]方向铺层展开轮廓线对比图

Figure 17. Comparison of the outline lines of the cover part laminated in the direction of [ 45°/−45°] of 2D woven carbon fiber reinforced plastics

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图 18 二维编织碳纤维增强树脂复合材料口盖零件[ 45°/−45°]方向铺层碳纤维角度分布云图

Figure 18. Cloud of angle distribution of carbon fiber of the cover part laminated in the direction of [ 45°/−45°] of 2D woven carbon fiber reinforced plastics

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表 1 二维编织碳纤维增强树脂复合材料口盖零件[ 0°/90°]方向铺层剪切角实验值与计算值

Table 1. Experimental and calculated shear angles of the cover part laminated in the direction of [0°/90°] of 2D woven carbon fiber reinforced plastics

	Experimental shear angle/(°)	Calculated shear angle/(°)
Point A	17.5	22.0
Point B	1.0	0.6
Point C	10.5	11.7
Point D	1.5	1.4
Point E	13.5	17.8
Point F	0.0	0.7
Point G	9.5	11.3
Point H	1.5	2.0

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表 2 二维编织碳纤维增强树脂复合材料口盖零件[ 45°/−45°]方向铺层剪切角实验值与计算值

Table 2. Experimental and calculated shear angles of the cover part laminated in the direction of [45°/−45°] of 2D woven carbon fiber reinforced plastics

	Experimental shear angle/(°)	Calculated shear angle/(°)
Point A	9.5	13.3
Point B	3.0	0.8
Point C	12.0	13.7
Point D	1.5	2.0
Point E	11.0	13.0
Point F	0.0	0.7
Point G	13.5	16.5
Point H	1.0	1.7

下载: 导出CSV

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