各向异性随机泡沫模型的弹性性能分析

卢子兴; 张家雷; 王嵩

各向异性随机泡沫模型的弹性性能分析

北京航空航天大学航空科学与工程学院, 北京 100083

基金项目: 国家自然科学基金资助项目(10572013); 北京市教育委员会共建项目建设计划资助项目(XK100060522)

详细信息

作者简介:
卢子兴(1960-),男,河北枣强人,教授,luzixing@263.net.

中图分类号: V 214
计量
- 文章访问数: 2909
- HTML全文浏览量: 119
- PDF下载量: 1022
- 被引次数: 0
出版历程
- 收稿日期: 2005-12-21
- 网络出版日期: 2006-12-31

Investigation into elastic properties of anisotropic random foam model

School of Aeronautic Science and Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要

摘要: 为了利用随机模型来分析泡沫材料微结构的各向异性对其力学性能的影响,在各向同性的Voronoi随机泡沫模型基础上,通过引入胞体生长速度的差异,得到各向异性的开孔和闭孔随机泡沫模型.利用有限元方法对模型的弹性性能进行了数值分析,得到相对杨氏模量和泊松比同各向异性尺寸比的关系,并和理论预测结果进行了对比分析.结果表明,建立的开孔和闭孔随机泡沫模型能较好地反映泡沫材料的各向异性力学性质;且开孔和闭孔泡沫的各向异性力学性能均与泡沫材料的相对密度有关.
- 力学性能 /
- 泡沫 /
- 有限元 /
- 微结构 /
- Voronoi分布
Abstract: In order to investigate the influence of cell microstructure anisotropy on the mechanical properties with random model, on the basis of isotropic Voronoi random foam model, anisotropic open-cell and closed-cell random foam models were established through considering cell growth rate difference. The elastic properties of these models were analyzed by the finite element method. The relation between the relative Young′s modulus of the models and the anisotropic size ratio was obtained and compared with theory predicted results; the relation between the Poisson′s ratio and the anisotropic size ratio was also obtained and compared. The results indicate that the open-cell and closed-cell random foam model can reflect the cell anisotropic mechanical properties well, and the anisotropic mechanical properties of open-cell and closed-cell foam both have relation with relative density.
- mechanical properties /
- foam /
- finite element method /
- microstructure /
- Voronoi tessellation

HTML全文

参考文献(1)

[1] 卢子兴, 石上路. 低密度开孔泡沫材料力学模型的理论研究进展[J]. 力学与实践, 2005,27(5):13-20 Lu Zixing, Shi Shanglu. Theoretical studies on mechanical models of low density foam[J]. Mechanics in Engineering, 2005,27(5):13-20(in Chinese) [2] Van der Burg M W D, Shulmeister V, Van der Geissen E, et al. On the linear elastic properties of regular and random open-cell foams models[J]. J Cell Plast, 1997,33:31-54 [3] Shulmeister V, Van der Burg M W D, Van der Giessen E, et al. A numerical study of large deformations of low-density elatomeric open-cell foams[J]. Mech Mater, 1998,30(2):125-140 [4] Roberts A P, Garboczi. Elastic properties of model random three-dimensional open-cell solid[J]. J Mech Phys Solids, 2002,50(1):33-55 [5] Roberts A P, Garboczi. Elastic moduli of model random three-dimensional closed-cell cellular solid[J]. Acta Mater, 2001,49(2):189-197 [6] Zhu H X, Hobdell J R, Windle A H. Effect of cell irregularity on the elastic properties of open-cell foams[J]. Acta Mater, 2000,48(20):4893-4900 [7] Zhu H X, Windle A H. Effects of cell irregularity on the high strain compression of open-cell foams[J]. Acta Mater, 2002,50(5):1041-1052 [8] Huang J S, Gibson L J. Creep of open-cell Voronoi foam[J]. Mater Sci Eng A,2003,339(1-2):220-226 [9] 袁应龙, 卢子兴. 利用随机模型计算低密度开孔泡沫材料的弹性模量[J]. 航空学报, 2004, 25(2):130-132 Yuan Yinglong, Lu Zixing .Calculation of the elastic modulus of low density open-cell foams with random model[J]. Acta Aeronautica et Astronautica Sinica,2004,25(2):130-132(in Chinese) [10] 王嵩, 卢子兴. 闭孔Voronoi泡沫的弹性性能分析[J].航空学报,2007,28(2) Wang Song, Lu Zixing. Investigation into the elastic properties of closed-cell Voronoi foam[J]. Acta Aeronautica et Astronautica Sinica,2007,28(2)(in Chinese) [11] 卢子兴, 王仁, 黄筑平,等. 泡沫塑料力学性能研究综述[J].力学进展,1996, 26(3):306-323 Lu Zixing, Wang Ren, Huang Zhuping, et al .A review of studies on the mechanical properties of foam plastics[J]. Advances in Mechanics, 1996,26(3):306-323(in Chinese) [12] Huber A T, Gibson L J. Anisotropy of foams[J]. J Mater Sci, 1988,23:3031-3040 [13] 谢兰生, 陈明和,童国权,等. 开孔泡沫铝弹性性能的各向异性研究[J]. 机械工程材料,2003, 27(2):7-9 Xie Lansheng, Chen Minghe, Tong Guoquan, et al. Anisotropic elastic properties of foam metal with open cells[J]. Mater Mech Eng, 2003, 27(2):7-9(in Chinese)

施引文献

资源附件(0)

访问统计