一种考虑过滤的短纤维增强复合材料RVE建模方法

刘丰睿; 骈瑢; 赵丽滨; 张建宇

doi:10.13700/j.bh.1001-5965.2018.0295

一种考虑过滤的短纤维增强复合材料RVE建模方法

doi: 10.13700/j.bh.1001-5965.2018.0295

1.
北京航空航天大学宇航学院, 北京 100083
2.
重庆大学航空航天学院, 重庆 400044

基金项目:

国家自然科学基金 11772028

国家自然科学基金 11702012

国家自然科学基金 11572058

国家自然科学基金 11372020

详细信息

作者简介:
刘丰睿  男，博士，讲师，硕士生导师。主要研究方向：复合材料结构失效分析、多学科优化设计

骈瑢  女，硕士研究生。主要研究方向：复合材料结构力学

赵丽滨  女，博士，教授，博士生导师。主要研究方向：飞行器结构分析与优化设计、复合材料结构的破坏理论和力学设计、多场条件下多功能结构设计

张建宇  男，博士，研究员，博士生导师。主要研究方向：金属多轴疲劳、复合材料疲劳断裂、疲劳可靠性工程

通讯作者:
刘丰睿, E-mail: frliu@buaa.edu.cn

中图分类号: TB332
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出版历程
- 收稿日期: 2018-05-22
- 录用日期: 2018-07-28
- 网络出版日期: 2019-02-20

A filter based modeling method of RVE for short fiber reinforced composite

1.
School of Astronautics, Beihang University, Beijing 100083, China
2.
College of Aerospace Engineering, Chongqing University, Chongqing 400044, China

Funds:

National Natural Science Foundation of China 11772028

National Natural Science Foundation of China 11702012

National Natural Science Foundation of China 11572058

National Natural Science Foundation of China 11372020

More Information

Corresponding author: LIU Fengrui, E-mail: frliu@buaa.edu.cn

摘要

摘要:
代表性体积单元（RVE）法是短纤维增强复合材料性能预测的常用方法，其RVE生成效率是预测效率的重要影响因素。针对现有的随机顺序吸附（RSA）方法生成RVE时，布尔运算次数多、效率低的问题，通过在布尔运算前加入对纤维形心距的判断，过滤掉一部分随机生成的且与已有纤维相交的纤维，以减少布尔运算次数，提出了一种考虑过滤的随机顺序吸附（FRSA）方法。通过将改进后的FRSA方法在不同RVE参数和方法参数下生成RVE所需布尔运算次数和所需时间与基于布尔运算的随机顺序吸附（BORSA）方法进行比较，证明了FRSA方法的先进性。
- 短纤维增强复合材料 /
- 数值建模 /
- 随机顺序吸附(RSA)方法 /
- 过滤法 /
- 纤维形心距
Abstract:
The representative volume element (RVE) method is a common numerical modeling method for predicting the material properties of short fiber reinforced composites. The RVE generation efficiency is an important factor affecting the efficiency of the property prediction. For the problem of too many Boolean operation times which cause low efficiency of Boolean operation when the existing random sequential adsorption (RSA) method is used to generate RVE, the centroid distance calculations between the lasted randomly generated fibers and the existing fibers are introduced. Using the centroid distance, some randomly generated fibers, which are intersecting with the existing fibers, are filtered out to reduce the number of Boolean operations. And a filter based random sequential adsorption (FRSA) method for modeling RVE is presented. By comparing the number of Boolean operations and the time cost for generating RVE, the FRSA method has been verified, and the verification is performed with different RVE parameters and method parameters using improved FRSA method and Boolean operation based random sequential adsorption (BORSA).
- short fiber reinforced composite /
- numerical modeling /
- random sequential adsorption (RSA) method /
- filtering method /
- centroid distance of the fiber

HTML全文

图 1 f_i内切球体与f_j内切球体相外切

Figure 1. Circumscribed inner spheres of f_i and f_j

下载: 全尺寸图片幻灯片

图 2 f_i外切球体与f_j外切球体相外切

Figure 2. Circumscribed outer spheres of f_i and f_j

下载: 全尺寸图片幻灯片

图 3 改进前后2种方法在一个RVE算例中每根纤维的布尔运算次数

Figure 3. Number of Boolean operation times per fiber in one RVE example with two methods before and after improvement

下载: 全尺寸图片幻灯片

图 4 FRSA方法生成的RVE

Figure 4. RVE generated with FRSA method

下载: 全尺寸图片幻灯片

表 1 不同V_C^max情况下的RVE建模效率对比

Table 1. Comparison of RVE modeling efficiency for various V_C^max

V_C^max/%	T′/T″	t′/t″
5	0.76	0.86
8	0.71	0.85
11	0.82	0.86

下载: 导出CSV

表 2 不同d_c情况下的RVE建模时间比

Table 2. Ratios of RVE modeling time for various d_c

V_C^max/%	t′/t″
V_C^max/%	d_c=D	d_c=D
5	0.84	0.86
8	0.81	0.82
11	0.66	0.72
14	0.56	0.74
17	0.48	0.52
20	—	0.63
23	—	0.37

下载: 导出CSV

表 3 不同A_R情况下的RVE建模时间比

Table 3. Ratios of RVE modeling time for various A_R

A_R	t′/t″
A_R	d_c=D	d_c=D	d_c=D
4	0.74	0.87	0.85
6	0.82	0.92	0.94
8	0.88	0.93	0.94

下载: 导出CSV

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