针刺复合材料层次化建模及弹性性能预测

刘昱; 王荣桥; 胡殿印; 刘茜; 庞生洋

doi:10.13224/j.cnki.jasp.20220728

针刺复合材料层次化建模及弹性性能预测

doi: 10.13224/j.cnki.jasp.20220728

刘昱^1,,
王荣桥^{1, 2, 3, 4},
胡殿印^{2, 3, 4},
刘茜^{1, 4,*, ,},
庞生洋⁵

1.
北京航空航天大学能源与动力工程学院，北京 102206
2.
北京航空航天大学航空发动机研究院，北京 102206
3.
北京航空航天大学航空发动机结构强度北京市重点实验室，北京 102206
4.
北京航空航天大学中小型航空发动机联合研究中心，北京 102206
5.
中国科学院金属研究所，沈阳 110016

基金项目: 国家自然科学基金（52022007，52105138，52275142）

详细信息

作者简介:
刘昱（1995-），男，博士生，主要从事航空发动机结构强度、复合材料多尺度分析及表征研究。E-mail：liuyu0707@buaa.edu.cn

通讯作者:
刘茜（1994-），女，副教授，博士，主要从事航空发动机结构强度及可靠性分析、复合材料建模和损伤分析研究。E-mail：liuxi@buaa.edu.cn

中图分类号: V254.2
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- 被引次数: 0
出版历程
- 收稿日期: 2022-09-26
- 网络出版日期: 2023-10-27

Hierarchical modeling and elastic property prediction of the needled composite

LIU Yu^1
,,
WANG Rongqiao^{1, 2, 3, 4},
HU Dianyin^{2, 3, 4},
LIU Xi^{1, 4,*
, ,},
PANG Shengyang⁵

1.
School of Energy and Power Engineering，Beihang University，Beijing 102206，China
2.
Research Institute of Aero-Engine，Beihang University，Beijing 102206，China
3.
Beijing Key Laboratory of Aero-Engine Structure and Strength， Beihang University，Beijing 102206，China
4.
United Research Center of Mid-Small Aero-Engine，Beihang University，Beijing 102206，China
5.
Institute of Metal Research，Chinese Academy of Sciences，Shenyang 110116，China

摘要

摘要:
针对针刺复合材料中网胎层等结构复杂导致难以划分周期性网格的问题，基于局部径向基点插值模型（LRPIM）发展了非周期性网格的周期性边界条件施加方法。开展X射线断层扫描试验并分析材料微观组织，提取出非针刺区域、针刺绕过区域和针刺穿过区域三种典型特征结构。考虑到针刺复合材料组成成分复杂的特点，提出了基于多特征结构的层次化建模方法，将复杂微观特征结构分解至单一材料相进行精细化建模，并按层次逐级均匀化以获取材料弹性性能。开展针刺复合材料力学性能试验，结果表明x方向拉伸模量和面内切变模量的预测误差分别为1.5%和6.4%，验证了所提建模方法的准确性。
- C/C-SiC复合材料 /
- 针刺复合材料 /
- 微观组织 /
- 层次化建模 /
- 周期性边界条件 /
- 弹性性能
Abstract:
In order to address the problem of complex structures such as random fiber layers in needled composites that make it difficult to assign periodic meshes, a periodic boundary condition imposition method for non-periodic meshes was developed based on the local radial point interpolation model (LRPIM). First, X-ray tomography tests were carried out to analyze the material microstructure, from which three typical characteristic structures of un-needling region, needling bypass region and needling through region were extracted. Subsequently, considering the complex composition of needled composites, a hierarchical modeling method based on multiple feature structures was proposed to decompose the complex microscopic feature structures into single material phases for refinement modeling, and homogenization by level was achieved to obtain the material’s elastic properties. Finally, the mechanical properties tests of the needled composites were carried out. The results showed that the prediction errors of the x-direction tensile modulus and in-plane shear modulus were 1.5% and 6.4%, respectively, which verified the accuracy of the proposed modeling approach.
- C/C-SiC composite /
- needled composite /
- microstructure /
- hierarchical modeling /
- periodic boundary conditions /
- elastic properties

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图 1 针刺预制体示意图

Figure 1. Schematic diagram of the needled preform

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图 2 针刺复合材料拉伸试件及孔隙分布（单位：mm）

Figure 2. Tensile specimens and pore distribution of needled composites （unit: mm）

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图 3 针刺复合材料典型微观结构

Figure 3. Typical microstructures of needled composites

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图 4 层次化建模及等效过程

Figure 4. Hierarchically modeling and equivalent process

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图 5 三种RVE模型示意图

Figure 5. Schematic diagram of the three RVE models

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图 6 周期性边界的三种情况

Figure 6. Three cases of periodic boundaries

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图 7 RSA算法流程图

Figure 7. RSA flow chart

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图 8 材料方向赋予

Figure 8. Material orientation assigned

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图 9 非针刺区域及材料相模型

Figure 9. Un-needling region and material phases model

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图 10 针刺绕过模型及材料相模型

Figure 10. Needling bypass model and material phases model

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图 11 针刺穿过模型网格划分及材料方向赋予

Figure 11. Needling through model meshing and material orientation assignment

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图 12 宏观模型中针刺区域的分布

Figure 12. Distribution of needling regions in the macroscopic model

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图 13 针刺复合材料宏观模型

Figure 13. Macroscopic modeling of needled composites

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图 14 平行六面体RVE模型的几何标记

Figure 14. Geometric markings for the RVE model of a parallel hexahedron

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图 15 非针刺模型1%γ_xy剪切应变下的应力云图

Figure 15. Stress contours at 1%γ_xyshear strain in the un-needling regions

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图 16 针刺绕过模型1%γ_xy剪切应变下的应力云图

Figure 16. Stress contours at 1%γ_xy shear strain in the needling bypass model

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图 17 针刺穿过模型1%ε_y拉伸应变下的应力云图

Figure 17. Stress contour at 1%ε_y tensile strain in the needling through model

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图 18 网胎层纤维取向分析

Figure 18. Fiber orientation analysis of random fiber layers

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图 19 宏观模型1%γ_yz剪切应变下的应力云图

Figure 19. Stress contours at 1%γ_yz shear strain for the macroscopic model

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图 20 针刺纤维含量对力学性能的影响规律

Figure 20. Effect of needling fiber fraction on the mechanical properties

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表 1 纤维和基体的材料参数

Table 1. Material parameters of fibers and matrixes

组分	参数	数值
碳纤维^[15]	纵向拉伸模量/GPa	230
	横向拉伸模量/GPa	18.226
	纵向泊松比	0.27
	横向泊松比	0.3
	纵向切变模量/GPa	36.597
基体	弹性模量/GPa	22.607
基体	泊松比	0.218

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表 2 不同纤维的参数a、b取值

Table 2. Values of a and b of different fibers

参数	纤维序号
参数	1	2	3	4	5	6
a/mm	0.05	0.03	0.015	0.005	0	0
b/mm	0.13	0.19	0.255	0.325	0.4	0.48

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表 3 等效弹性性能预测

Table 3. Prediction of equivalent elastic properties

模型	E_x/GPa	E_y/GPa	E_z/GPa	υ_xy	υ_xz	υ_yz	G_xy/GPa	G_xz/GPa	G_yz/GPa
非针刺-无纬布	81.45	21.69	21.69	0.231	0.231	0.268	13.06	13.06	5.54
非针刺-网胎	20.59	20.37	19.65	0.215	0.221	0.216	7.96	7.52	6.85
非针刺区域	59.93	59.90	20.02	0.230	0.251	0.255	14.27	11.01	10.95
针刺绕过-无纬布	78.36	33.76	37.67	0.223	0.231	0.251	15.59	15.44	7.89
针刺绕过-网胎	18.64	18.61	22.87	0.254	0.220	0.219	7.07	7.45	6.89
针刺绕过模型	53.24	53.01	25.65	0.232	0.226	0.240	14.94	15.34	7.66
针刺穿过模型	42.82	42.78	28.11	0.198	0.180	0.182	12.40	12.74	12.75
宏观模型	53.15	58.15	24.59	0.117	0.090	0.116	13.27	10.21	10.30
试验值	52.37						12.47^[15]

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