2.5维编织结构CMC材料热导率概率特征及其影响因素分析

李龙凯; 王元红; 屠泽灿; 杨嘉; 梁旋; 朱爱玲; 毛军逵

doi:10.13224/j.cnki.jasp.20220931

2.5维编织结构CMC材料热导率概率特征及其影响因素分析

doi: 10.13224/j.cnki.jasp.20220931

李龙凯^1,,
王元红²,
屠泽灿^1,*, ,,
杨嘉²,
梁旋¹,
朱爱玲¹,
毛军逵¹

1.
南京航空航天大学能源与动力学院江苏省航空动力系统重点实验室，南京 210016
2.
北京动力机械研究所，北京 100074

基金项目: 航空发动机及燃气轮机基础科学中心项目（P2022-B-Ⅱ-025-001）；国家科技重大专项（Y2019-Ⅰ-0018-0017）

详细信息

作者简介:
李龙凯（1998-），男，硕士生，从事复合材料热分析研究。E-mail：llk1998@nuaa.edu.cn

通讯作者:
屠泽灿（1992-），男，副教授、硕士生导师，博士，从事复合材料热分析研究。E-mail：tzc@nuaa.edu.cn

中图分类号: V231.1
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出版历程
- 收稿日期: 2022-12-02
- 网络出版日期: 2025-03-28

Analysis on probabilistic characteristics and influencing factors of thermal conductivity of 2.5D braided structure CMC materials

1.
Jiangsu Province Key Laboratory of Aerospace Power System，College of Energy and Power Engineering，Nanjing University of Aeronautics and Astronautics，Nanjing 210016，China
2.
Beijing Power Machinery Institute，Beijing 100074，China

摘要

摘要:
针对2.5维编织CMC平板进行细观几何特征参数识别及统计分析，建立了反映材料细观结构分散性的参数化全尺寸模型，使用Monte-Carlo模拟方法，探究了编织CMC材料细观结构几何特征参数的随机性对材料各向异性热导率概率分布的影响规律，并通过正交试验分析了不同几何参数的影响程度。研究结果表明：基础模型在基体和纤维束热导率差异的影响下，温度和热流密度分布存在不均匀性，在各部分纤维与基体交界处温度存在较为明显的梯度变化，在基体和斜向纤维束内热流密度较大，在Y向纬纱以及X向经纱水平段内热流密度较小；在几何特征波动的影响下，基体和纤维束的体积分数发生改变是影响等效热导率波动的主要原因，6种几何特征对热导率概率分布的影响程度根据强弱依次排序为：编织角、经纱长度、经纱间距、经纱宽度、纬纱宽度、纬纱长度。
- 陶瓷基复合材料 /
- 编织结构 /
- 各向异性热导率 /
- 细观结构 /
- 概率分布
Abstract:
Based on a 2.5D woven Ceramic Matrix Composite (CMC) plate, the microscopic geometric features were identified, and the probability distribution functions were calculated. A parameterized full-scale model reflecting the dispersion of the material’s microscopic structure was established. The Monte Carlo simulation method was employed to investigate the influences of the geometric parameters’ randomness of the woven CMC material’s microscopic structure on the probability distribution of its anisotropic thermal conductivity. The results were validated through orthogonal experiments. The findings revealed that, due to the thermal conductivity difference between the matrix and fiber bundles, the temperature and heat flux distributions exhibited non-uniformity. There existed a noticeable temperature gradient at the interface between the matrix and fiber bundles. The heat flux density was higher in the matrix and oblique fiber bundles, while it was lower in the Y-direction (weft) and X-direction (warp) fiber sections. Under the influence of geometric parameter variations, changes in the volume fraction of the matrix and fiber bundles were primary factors affecting the fluctuation of the effective thermal conductivity. The impacts of the six geometric features on the probability distribution of thermal conductivity were ranked as follows: weaving angle, warp length, warp spacing, warp width, weft width and weft length.
- ceramic matrix composites /
- braided structure /
- anisotropic thermal conductivity /
- mesostructure /
- probability distributions

HTML

图 1 随机有限元模拟流程图

Figure 1. Flow chart of stochastic finite element simulation

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图 2 细观结构拍摄示意图

Figure 2. Schematic diagram of mesoscopic structure shooting

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图 3 X-CT扫描结果

Figure 3. X-CT scan results

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图 4 CMC样品几何特征波动分布图

Figure 4. Distribution map of geometrical characteristics of CMC samples

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图 5 2.5维编织CMC平板模型

Figure 5. 2.5-dimensional braided CMC flat model

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图 6 边界及网络划分示意图

Figure 6. Schematic diagram of boundary and network division

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图 7 网格独立性验证

Figure 7. Grid independence verification

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图 8 经纱曲线坐标系

Figure 8. Warp curve coordinate system

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图 9 样本独立性验证

Figure 9. Sample independence verification

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图 10 基础模型温度及热流密度分布云图

Figure 10. Cloud chart of basic model temperature and heat flux distribution

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图 11 几何特征波动的等效热导率概率分布直方图

Figure 11. Histogram of equivalent thermal conductivity probability distribution for geometric feature fluctuations

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图 12 不同几何特征基体体积分数变化率

Figure 12. Variation rate of matrix volume fraction with different geometric features

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图 13 不同经纱宽度截面热流密度云图

Figure 13. Heat flow density cloud diagram of different warp width sections

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表 1 几何特征分布规律

Table 1. Geometric feature distribution law

参数	均值	标准差	变异系数
L₁/mm	1.454	0.095	0.065
L₂/mm	0.271	0.041	0.151
I₁/mm	1.405	0.084	0.060
I₂/mm	0.302	0.039	0.131
I_d/mm	0.321	0.052	0.163
a₁/rad	0.570	0.042	0.073

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表 2 单胞结构热导率

Table 2. Thermal conductivity of unit cell structure

材料属性	热导率/（W/（m·K））
基体	4.25
纤维束	{8.63，1.175，1.175}

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表 3 2.5维编织CMC材料热导率测试值

Table 3. Test values of thermal conductivity of 2.5D braided composite CMC materials W/（m·K）

热导率k_z	均值	标准差
2.745 2.703 2.737	2.729	0.022

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表 4 2.5维编织CMC材料等效导热系数均值/标准差统计表

Table 4. Statistical table of mean/standard deviation of effect thermal conductivity of 2.5D braided CMC materials W/（m·K）

概率参数	L₁	L₂	I₁	I₂	I_d	a₁
均值	2.914	2.914	2.914	2.914	2.914	2.914
标准差	0.004	0.012	0.023	0.014	0.017	0.031

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表 5 因素水平表

Table 5. Factor level table

水平	L₁/mm	L₂/mm	I₁/mm	I₂/mm	I_d/mm	a₁/rad
1	1.25	0.25	1.3	0.28	0.28	0.51/29.22
2	1.35	0.26	1.35	0.29	0.30	0.54/30.93
3	1.45	0.27	1.4	0.30	0.32	0.57/32.65
4	1.55	0.28	1.45	0.31	0.34	0.60/34.37
5	1.65	0.29	1.5	0.32	0.36	0.63/36.09

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表 6 极差分析表

Table 6. Range analysis table

平均值	L₁/mm	L₂/mm	I₁/mm	I₂/mm	I_d/mm	a₁/rad
s₁	12.6	10.8	17	15.8	9.4	17.6
s₂	12.8	12.6	15.4	14	12	14.8
s₃	13.4	13.2	13.4	13	13.4	13.4
s₄	13.2	14.2	10.4	12.2	12.2	9
s₅	13	14.2	8.8	11.4	15.6	4.4
R	0.8	3.4	8.2	4.4	6.2	13.2

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