Abstract: On the basis of the BBC points set, the Kelvin tetrakaidecahedron and Laguerre tessellation models for the polymethacrylimide (PMI) closed-cell foam were established. The quasi-static compression performance was analyzed by finite element method. The effects of cell size and cell volume dispersion on compression modulus, initial peak stress, and energy absorptivity were discussed. Numerical results showed that the tetrakaidecahedron model can predict the compression elastic modulus and initial peak stress of the PMI foam quite well. Under the same relative density, the smaller cell size will lead to higher initial peak stress and higher energy absorption capacity,but lower compression elastic modulus. The compression elastic modulus, initial peak stress and energy absorption capacity of the closed-cell PMI foam decreases with the increasing cell volume dispersion.
1 Qu Chunyan, Xie Kelei, Ma Yingjian, et al. Preparation and characterization of polymethacrylimide foams[J]. J Mater Eng, 2008(11):19(in Chinese).
曲春艳,谢克磊,马瑛剑,等. 聚甲基丙烯酰亚胺(PMI)泡沫塑料的制备与表征[J]. 材料工程, 2008(11):19.
2 Chen Xiaoqiang, Zhang Man, Lei Yi. Preparation and compression properties of PMI foam[J]. China Plast Ind, 2011,39(6):60(in Chinese).
陈小强,张曼,雷毅. 聚甲基丙烯酰亚胺泡沫的制备及其压缩性能[J]. 塑料工业, 2011,39(6):60.
3 Zhao Feiming, An Sitong, Mu Han. Present state of art of polymethacrylimide (PMI) foam research[J]. Aerosp Mater Technol, 2008(1):1(in Chinese).
赵飞明,安思彤,穆晗. 聚甲基丙烯酰亚胺(PMI)泡沫研制现状[J]. 宇航材料工艺, 2008(1):1.
4 Chen Y, Das R, Battley M. Effects of cell size and cell wall thickness variations on the stiffness of closed-cell foams[J]. Int J Solids Struct, 2015,52:150.
5 Lu Pingcai, Ruan Shiping. Preparation and research of thermostable microporous PMI foams[J]. Guangzhou Chem Ind, 2011,39(23):71.
鲁平才,阮诗平. 耐高温微细孔结构PMI泡沫的制备及研究[J]. 广州化工, 2011,39(23):71.
6 Xie Kelei, Qu Chunyan, Ma Yingjian, et al. Effect of cross-linking agent to structure and properties of PMI foams[J]. J Mater Eng, 2009(4):23(in Chinese).
谢克磊,曲春艳,马瑛剑,等. 交联剂对PMI泡沫塑料结构与性能的影响[J]. 材料工程, 2009(4):23.
7 Qu Chunyan, Jiao Zibao. Effect of monomer ratio on structure and properties of PMI foams[J]. Chem Adhes, 2011(5):25(in Chinese).
曲春艳,焦自保. 单体配比对PMI泡沫塑料结构和性能的影响[J]. 化学与黏合, 2011(5):25.
8 Chen Xiaoqiang, Zhang Man, Lei Yi. Transformation of molecular structure during foaming of PMI foam[J]. Aerosp Mater Technol, 2011(5):32(in Chinese).
陈小强,张曼,雷毅. PMI泡沫发泡过程中的分子结构转变[J]. 宇航材料工艺, 2011(5):32.
9 Chen Yimin, He Bin. Preparation and structural characterization of polymethacrylimide foams[J]. New Chem Mater, 2007(2):32(in Chinese).
陈一民,何斌. 聚甲基丙烯酰亚胺(PMI)泡沫制备及结构表征[J]. 化工新型材料, 2007(2):32.
10Zhang Jialei, Lu Zixing. Finite element analysis for the elastic pro-perties of closed-cell foams based on a tetrakaidecahedron model[J]. J Mech Strength, 2007,29(2):315(in Chinese).
张家雷,卢子兴. 基于十四面体模型的闭孔泡沫材料弹性性能的有限元分析[J]. 机械强度, 2007,29(2):315.
11Zhu Hong, Han Jiecai, Zhang Yumin, et al. Characterization of tetrakaidecahedral closed-cell cellular materials[J].J Harbin Inst Technol, 2011(5):71(in Chinese).
朱虹,韩杰才,张宇民,等. 十四面体闭孔多孔材料表征量特性研究[J]. 哈尔滨工业大学学报, 2011(5):71.
12Song Yanze, Li Zhiqiang, Zhao Longmao. Finite element analysis of dynamic crushing behaviors of closed-cell foams based on a tetrakai-decahedron model[J]. Explos Shock Waves, 2009(1):49(in Chinese).
宋延泽,李志强,赵隆茂. 基于十四面体模型的闭孔泡沫材料动态力学性能的有限元分析[J]. 爆炸与冲击, 2009(1):49.
13Lu Zixing, Zhang Jialei, Wang Song. Investigation into elastic pro-perties of an isotropic random foam model[J].J Beijing University of Aeronautics and Astronautics, 2006,32(12):1468(in Chinese).
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[J].北京航空航天大学学报, 2006,32(12):1468.
14Wang Song, Lu Zixing. Investigation into elastic properties of closed-cell Voronoi foam [J]. Acta Aeronaut Astronaut Sin, 2007,28(3):574(in Chinese).
王嵩,卢子兴. 闭孔 Voronoi泡沫的弹性性能分析[J]. 航空学报, 2007,28(3):574.
15Cao Yu, Li Wenxiao, Guan Wei. Investigation into elastic properties of close-cell foam based on the Voronoi random anisotropic model[J]. Mater Rev:Res,2012,26(8):145(in Chinese).
曹禺,李文晓,官威. 基于Voronoi随机模型的各向异性闭孔泡沫的弹性性能研究[J]. 材料导报:研究篇, 2012,26(8):145.
16Barbier C, Michaud P M, Baillis D, et al. New laws for the tension/compression properties of Voronoi closed-cell polymer foams in relation to their microstructure[J]. Eur J Mech A:Solids, 2014,45:110.
17Li Z, Zhang J, Fan J, et al. On crushing response of the three-dimensional closed-cell foam based on Voronoi model[J]. Mech Mater, 2014,68:85.
18Fang Q, Zhang J, Zhang Y, et al. Mesoscopic investigation of closed-cell aluminum foams on energy absorption capability under impact[J]. Compos Struct, 2015,124:409.
19Zhang Fu, Li Xudong. Microstructure design and elastic property analysis of foam material[J]. J Mater Eng, 2014(2):39(in Chinese).
张赋,李旭东. 泡沫材料微结构设计与弹性性能分析[J]. 材料工程, 2014(2):39.
20Zhang Fu, Li Xudong. Research on incremental algorithm and software design for Laguerre diagram of set of weighted points[J]. Comput Eng Appl, 2012(30):10.
张赋,李旭东. 带权点集Laguerre图的增量算法与软件设计研究[J]. 计算机工程与应用, 2012(30):10.
21胡培. ROHACELL®技术手册[M].上海:德固萨(中国)投资有限公司上海分公司, 2005:24.
22Xue Peng. Preparation technology and performance study of PMI foam[D]. Shanghai:Tongji University, 2015(in Chinese).
薛鹏. PMI泡沫的制备工艺与性能研究[D].上海:同济大学, 2015.
23Tan P J,Reid S R, Harrigan J J, et al. Dynamic compressive strength properties of aluminum foams. Part I—Experimental data and observations[J]. J Mech Phys Solids, 2005(53):2174.
24Lorna J Gibson, Michael F Ashby. Cellular solids:Structure and properties[M]. Cambridge University Press, 1999:184.
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2017, Vol. 31 
