Citation: | YANG Deqing, ZHONG Shan. Functional element topology optimization method based on multiple evaluation points for metamaterial design with zero Poisson’s ratio[J]. Acta Materiae Compositae Sinica, 2020, 37(12): 3229-3241. doi: 10.13801/j.cnki.fhclxb.20200306.001 |
[1] |
金忠谋. 材料力学[M]. 北京: 机械工业出版社, 2012.
JIN Zhongmou. Mechanics of materials[M]. Beijing: China Machine Press, 2012(in Chinese).
|
[2] |
程文杰, 周丽, 张平, 等. 零泊松比十字形混合蜂窝设计分析及其在柔性蒙皮中的应用[J]. 航空学报, 2015, 36(2):680-690.
CHENG Wenjie, ZHOU Li, ZHANG Ping, et al. Design and analysis of a zero Poisson’s ratio mixed cruciform honeycomb and its application in flexible skin[J]. Acta Aeronautica et Astronautica Sinica,2015,36(2):680-690(in Chinese).
|
[3] |
ALDERSON K L, ALDERSON A, SMART G, et al. Auxetic polypropylene fibres Part 1-Manufacture and characterisation[J]. Plastics Rubber and Composites,2002,31(8):344-349. doi: 10.1179/146580102225006495
|
[4] |
EVANS K E, NKANSAH M A, HUTCHINSON I J, et al. Molecular network design[J]. Nature,1991,353(6340):124. doi: 10.1038/353124a0
|
[5] |
GIBSON L J, ASHBY M F. Cellular solids: Structure and properties[M]. London: Cambridge University Press, 1997.
|
[6] |
卢子兴, 赵亚斌. 一种有负泊松比效应的二维多胞材料力学模型[J]. 北京航空航天大学学报, 2006, 32(5):594-597. doi: 10.3969/j.issn.1001-5965.2006.05.022
LU Zixing, ZHAO Yabin. Mechanical model of two-dimensional cellular materials with negative Poisson’s ratio[J]. Journal of Beijing University of Aeronautics and Astronautics,2006,32(5):594-597(in Chinese). doi: 10.3969/j.issn.1001-5965.2006.05.022
|
[7] |
OLYMPIO K R, GANDHI F. Zero Poisson's ratio cellular honeycombs for flex skins undergoing one-dimensional morphing[J]. Journal of Intelligent Material Systems and Structures,2010,21(17):1737-1753. doi: 10.1177/1045389X09355664
|
[8] |
鲁超, 李永新, 董二宝, 等. 零泊松比蜂窝芯等效弹性模量研究[J]. 材料工程, 2013(12):80-84.
LU Chao, LI Yongxin, DONG Erbao, et al. Equivalent elastic modulus of zero Poisson’s ratio honeycomb core[J]. Journal of Materials Engineering,2013(12):80-84(in Chinese).
|
[9] |
李杰锋, 沈星, 陈金金. 零泊松比胞状结构的单胞面内等效模量分析及其影响因素[J]. 航空学报, 2015, 36(11):3616-3629.
LI Jiefeng, SHEN Xing, CHEN Jinjin. Single cells’ in-plane equivalent moduli analysis of zero Poisson’s ratio cellular structure and their effects factor[J]. Acta Aeronautica et Astronautica Sinica,2015,36(11):3616-3629(in Chinese).
|
[10] |
GRIMA J N, OLIVERI L, ATTARD D, et al. Hexagonal honeycombs with zero Poisson's ratios and enhanced stiffness[J]. Advanced Engineering Materials,2010,12(9):855-862. doi: 10.1002/adem.201000140
|
[11] |
GRIMA J N, ATTARD D. Molecular networks with a near zero Poisson's ratio[J]. Physica Status Solidi B-Basic Solid State Physics,2011,248(1):111-116. doi: 10.1002/pssb.201083979
|
[12] |
ATTARD D, GRIMA J N. Modelling of hexagonal honeycombs exhibiting zero Poisson's ratio[J]. Physica Status Solidi B-Basic Solid State Physics,2011,248(1):52-59. doi: 10.1002/pssb.201083980
|
[13] |
SOMAN P, FOZDAR D Y, LEE J W, et al. A three-dimensional polymer scaffolding material exhibiting a zero Poisson's ratio[J]. Soft Matter,2012,8(18):4946-4951. doi: 10.1039/c2sm07354d
|
[14] |
GONG X, HUANG J, SCARPA F, et al. Zero Poisson's ratio cellular structure for two-dimensional morphing applications[J]. Composite Structures,2015,134:384-392. doi: 10.1016/j.compstruct.2015.08.048
|
[15] |
HUANG J, GONG X, ZHANG Q, et al. In-plane mechanics of a novel zero Poisson's ratio honeycomb core[J]. Compo-sites Part B: Engineering,2016,89:67-76. doi: 10.1016/j.compositesb.2015.11.032
|
[16] |
QIN H, YANG D, REN C. Modelling theory of functional element design for metamaterials with arbitrary negative Poisson's ratio[J]. Computational Materials Science,2018,150:121-133. doi: 10.1016/j.commatsci.2018.03.056
|
[17] |
QIN H, YANG D, REN C. Design method of lightweight metamaterials with arbitrary Poisson's ratio[J]. Materials,2018,11(9):1574.
|
[18] |
秦浩星, 杨德庆. 任意负泊松比超材料结构设计的功能基元拓扑优化法[J]. 复合材料学报, 2018, 35(4):1014-1023.
QIN Haoxing, YANG Deqing. Functional element topology optimal method of metamaterial design with arbitrary negative Poisson’s ratio[J]. Acta Materiae Compositae Sinica,2018,35(4):1014-1023(in Chinese).
|
[19] |
NIU B, YAN J, CHENG G. Optimum structure with homogeneous optimum cellular material for maximum fundamental frequency[J]. Structural and Multidisciplinary Optimization,2009,39(2):115-132. doi: 10.1007/s00158-008-0334-4
|
[20] |
WANG B, CHENG G D. Design of cellular structures for optimum efficiency of heat dissipation[J]. Structural and Multidisciplinary Optimization,2005,30(6):447-458. doi: 10.1007/s00158-005-0542-0
|
[21] |
阎军, 邓佳东, 程耿东. 基于柔顺性与热变形双目标的多孔材料与结构几何多尺度优化设计[J]. 固体力学学报, 2011, 32(2):119-132.
YAN Jun, DENG Jiadong, CHENG Gengdong. Multi geometrical scale optimization for porous structure and material with muti-objective of structural compliance and thermal deformation[J]. Chinese Journal of Solid Mechanics,2011,32(2):119-132(in Chinese).
|
[22] |
张卫红, 孙士平. 多孔材料/结构尺度关联的一体化拓扑优化技术[J]. 力学学报, 2006, 38(4):522-529. doi: 10.3321/j.issn:0459-1879.2006.04.012
ZHANG Weihong, SUN Shiping. Integrated design of porous materials and structures with scale-coupled effect[J]. Chinese Journal of Theoretical and Applied Mechanics,2006,38(4):522-529(in Chinese). doi: 10.3321/j.issn:0459-1879.2006.04.012
|
[23] |
XIA L, BREITKOPF P. Design of materials using topology optimization and energy-based homogenization approach in Matlab[J]. Structural and Multidisciplinary Optimization,2015,52(6):1229-1241. doi: 10.1007/s00158-015-1294-0
|
[24] |
李洪泉. 关于比强度和比模量单位的使用辨析[J]. 宇航材料工艺, 2012, 42(1):112. doi: 10.3969/j.issn.1007-2330.2012.01.026
LI Hongquan. Analysis on the use of specific stength and specific modulus units[J]. Aerospace Materials & Technology,2012,42(1):112(in Chinese). doi: 10.3969/j.issn.1007-2330.2012.01.026
|