十四面体闭孔多孔材料表征量特性研究

朱虹^1,2, 韩杰才¹, 张宇民¹, 张立刚²

1.哈尔滨工业大学复合材料与结构研究所;2.燕山大学机械工程学院



摘要:

为了研究多孔材料微观结构对其性能的影响,利用闭孔粗棱十四面体模型进行了数值模拟.采用有限元法,对相对弹性模量、泊松比进行了数值计算.模拟结果表明:单胞壁厚是相对密度增量的次要影响因素,壁面连接曲率半径是主要影响因素,壁厚、壁面连接曲率半径可简化为相对密度的2个无关影响因素;高孔隙率多孔材料,表面张力拉向孔穴棱边的固体对相对弹性模量的影响较小,低孔隙率多孔材料则影响较大.得到了相对密度对微结构的依赖性及归一化关系同时也得到了微结构、相对密度对相对弹性模量、泊松比的影响规律.

关键词:  多孔材料  十四面体模型  弹性性能  有限元

DOI：10.11918/j.issn.0367-6234.2011.05.014

分类号:TB383.4

基金项目:国家高技术研究发展计划资助项目(2008AA121903)



Characterization of tetrakaidecahedral closed-cell cellular materials

ZHU Hong^1,2, HAN Jie-cai¹, ZHANG Yu-min¹, ZHANG Li-gang²

1.Center for Composite Materials and Structure,Harbin Institute of Technology,150001 Harbin,China;2.College of Mechanical Engineering,Yanshan University,066004 Qinhuangdao,China

Abstract:

To investigate the influence of cellular materials microstructure on it’s properties,numerical simulation is done by closed-cell tetrakaidecahedron model with thick edge.By finite elements method,relative elastic modulus and Poisson’ ratio are calculated.Simulation results show: single-cell wall thickness is the secondary factor of relative density increment,and wall-face connective curvature radius is the primary factor of the increment.The wall thickness and wall-face connective curvature radius can be simplified as two independent factors of relative density.For high porosity cellular materials,the solid of which the surface tension draws to cell-edge has little influence on relative elastic modulus,but for low porosity cellular materials,the influence becomes greater.The dependence of relative density on microstructure,the unitary relation and the influence of microstructure and relative density on relative elastic modulus and Poisson’ ratio are obtained.

Key words:  cellular materials  tetrakaidecahedral model  elastic properties  finite elements method