支柱截面随机度对开孔Voronoi泡沫弹性性能的影响  

Effects of randomicity for strut cross-sectional areas on elastic properties of Voronoi open-cell foams

作　　者：卢子兴[1] 王建月[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院,北京100191

出　　处：《北京航空航天大学学报》2009年第8期968-971,共4页Journal of Beijing University of Aeronautics and Astronautics

基　　金：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)

摘　　要：基于Voronoi随机泡沫模型,引入支柱截面面积不均匀分布的随机变量,研究了其对泡沫材料的非线性压缩和拉伸行为以及各向异性弹性性能的影响,并与模型随机度的影响进行比较,讨论了两种随机因素共同作用时的影响效果.结果表明,对非线性压缩和拉伸行为,支柱截面随机度对无量纲应力都起降低作用,并且其影响随应变的增加而增大,对泊松比在压缩时起减小作用而在拉伸时起增大作用;支柱截面随机度对胞体伸长方向和垂直于胞体伸长方向的弹性模量均起减小作用,但对泊松比的影响不明显.两种随机因素共同作用的影响效果在拉伸时减弱,而在各向异性弹性情况下增强.Based on Voronoi random foam model, the random distribution of strut cross-sectional areas （SCSAs） was introduced, and its effects on nonlinear compressive and tensile behavior and anisotropic elastic properties were investigated. Influences of the model irregularity and randomicity of SCSAs on foams were compared, and the effects of their interaction were also discussed. The simulation results indicate that, the dimensionless stress decrease as SCSAs get less uniform under compression and tension, and this effect becomes more apparent as strain becomes larger. However, as randomicity of SCSAs increases the poisson＇s ratios become smaller under compression while become larger under tension. The relative anisotropic elastic moduli in the elongated direction and perpendicular direction decrease as random degree of SCSAs increases, however, the influence on Poisson＇s ratio is insignificant. The effect of the interaction between the two random factors appears to be weak under tension, but strong on anisotropic elastic properties.

关 键 词：泡沫材料 力学性能 Voronoi模型 支柱截面随机度 

分 类 号：V214[航空宇航科学与技术—航空宇航推进理论与工程]