多孔材料在压缩载荷作用下的屈曲失效模式分析

刘培生

doi:10.7498/aps.59.8801

摘要

压缩是工程材料最基本的承载方式之一,多孔材料中的孔棱受到压缩载荷时可能产生屈曲行为.建立了各向同性三维网状高孔率多孔材料的简化结构失效模型,分析了这种材料在不同压缩载荷作用下由于孔棱发生屈曲而引起的失效模式,系统地得出了单向压缩、双向压缩和三向压缩等三种承载形式下这种多孔体受压而导致孔棱屈曲时名义主应力与孔率的数理关系.在此基础上,进一步得出了此类材料在压缩载荷作用下发生孔棱屈曲的载荷条件.

关键词:

The compressive behavior is one of most basic mechanical properties for engineering materials, and the struts of porous materials under compression may display the buckling phenomena when the porous bodies are under compressive loadings. In the present paper, a failure model of simplified structures is established for isotropic three-dimensional reticulated porous materials, and the failure modes resulting from the strut bucklings are analyzed for these materials under compressive loadings. The mathematical relationships between nominal main stresses and porosities are systemically derived for this buckling failures of these materials under uniaxial compression, biaxial compression and triaxial compression. Based on these results, the relevant loading conditions resulting in the strut buckling are further obtained for these materials under compressive loadings.

Keywords:

作者及机构信息

刘培生

1.
北京师范大学核科学与技术学院,射线束技术与材料改性教育部重点实验室,北京 100875

基金项目: 北京师范大学测试基金(批准号:C10)资助的课题.

Authors and contacts

Liu Pei-Sheng

1.
Key Laboratory of Beam Technology and Material Modification of Ministry of Education, College of Nuclear Science and Technology, Beijing Normal University, Beijing 100875, China

参考文献

[1]	Gibson L J, Ashby M F 1999 Cellular Solids: Structure and Properties (Cambridge: Cambridge University Press)
[2]	Banhart J 2001 Prog. Mater. Sci. 46 559
[3]	Liu P S, Liang K M 2001 J. Mater. Sci. 36 5059
[4]	Davis M E 2002 Nature 417 831
[5]	Turnbull M M, Landee C P 2002 Science 298 1723
[6]	Liu P S 2004 Introduction to Porous Materials (Beijing: Tsinghua University Press) (in Chinese) [刘培生 2004 多孔材料引论 (北京: 清华大学出版社)]
[7]	Ma C L 2004 Acta Phys. Sin. 53 1952 (in Chinese) [马春兰 2004 53 1952]
[8]	van Santen R A 2006 Nature 444 46
[9]	Zhao X F, Fang Y 2006 Acta Phys. Sin. 55 3785 (in Chinese) [赵信峰、方炎 2006 55 3785]
[10]	Zhang H W, Li Y X 2007 Acta Phys. Sin. 56 4864 (in Chinese) [张华伟、李言祥 2007 56 4864]
[11]	Rosa M E 2008 Phil. Mag. Lett. 88 637
[12]	Wang C F, Li Q S, Hu B, Li W B 2009 Chin. Phys. B 18 2610
[13]	Hamiuddin M 1986 Powder Metall. Int. 18 73
[14]	Ashby M F, Evans A, Fleck N A, Gibson L J, Hutchinson J W, Wadley H N G 2000 Metal Foams: A Design Guide (Boston: Elsevier Science)
[15]	Nagaki S, Sowerby R, Goya M 1991 Mater. Sci. Eng. A 142 163
[16]	Silva M G D A, Ramesh K T 1997 Mater. Sci. Eng. A 232 11
[17]	Simone A E, Gibson L J 1997 Mater. Sci. Eng. A 229 55
[18]	Han F S, Liu C S, Zhu Z G 1998 Acta Phys. Sin. 47 520 (in Chinese) [韩福生、刘长松、朱震刚 1998 47 520]
[19]	Liu P S 2000 J. Adv. Mater. 32 9
[20]	Deshpande V S, Fleck N A 2000 J. Mech. Phys. Solids 48 1253
[21]	Badiche X, Forest S, Guibert T, Bienvenu Y, Bartout J D, Ienny P, Croset M, Bernet H 2000 Mater. Sci. Eng. A 289 276
[22]	Nieh T G, Higashi K, Wadsworth J 2000 Mater. Sci. Eng. A 283 105
[23]	Benouali A H, Froyen L, Delerue J F, Wevers M 2002 Mater. Sci. Tech. 18 489
[24]	Kwon Y W, Cooke R E, Park C 2003 Mater. Sci. Eng. A 343 63
[25]	Choe H, Dunand D C 2004 Mater. Sci. Eng. A 384 184
[26]	Liu P S, Sang H B 2004 Int. J. Iron Steel Res. 11 53
[27]	Liu P S 2006 Mater. Sci. Eng. A 422 176
[28]	Liu P S 2007 Materials Science Research Horizon (New York: NOVA Science Publishers) Chap 3
[29]	Liu P S 2007 Mater. Des. 28 2678
[30]	Liu P S 2009 Mater. Sci. Eng. A 507 190
[31]	Liu P S, Chen G F, Chen Y M 2009 Phil. Mag. Lett. 89 655
[32]	Liu P S 2010 Mater. Des. 31 2264
[33]	Liu P S 2010 Acta Phys. Sin. 59 4849 (in Chinese) [刘培生 2010 59 4849]
[34]	Liu P S, Liang K M 2000 Mater. Sci. Tech. 16 575
[35]	Zhang W K, Li N Z, He D P 2005 J. Mater. Res. 15 1248
[36]	Liu P S 2006 Chin. J. Mater. Res. 20 64 (in Chinese) [刘培生 2006 材料研究学报 20 64]
[37]	Fan Q S 2008 Engineering Mechanics (Beijing: Machinical Industry Press) (in Chinese) [范钦珊 2008 工程力学 (北京:机械工业出版社)]

施引文献

[1]	Gibson L J, Ashby M F 1999 Cellular Solids: Structure and Properties (Cambridge: Cambridge University Press)
[2]	Banhart J 2001 Prog. Mater. Sci. 46 559
[3]	Liu P S, Liang K M 2001 J. Mater. Sci. 36 5059
[4]	Davis M E 2002 Nature 417 831
[5]	Turnbull M M, Landee C P 2002 Science 298 1723
[6]	Liu P S 2004 Introduction to Porous Materials (Beijing: Tsinghua University Press) (in Chinese) [刘培生 2004 多孔材料引论 (北京: 清华大学出版社)]
[7]	Ma C L 2004 Acta Phys. Sin. 53 1952 (in Chinese) [马春兰 2004 53 1952]
[8]	van Santen R A 2006 Nature 444 46
[9]	Zhao X F, Fang Y 2006 Acta Phys. Sin. 55 3785 (in Chinese) [赵信峰、方炎 2006 55 3785]
[10]	Zhang H W, Li Y X 2007 Acta Phys. Sin. 56 4864 (in Chinese) [张华伟、李言祥 2007 56 4864]
[11]	Rosa M E 2008 Phil. Mag. Lett. 88 637
[12]	Wang C F, Li Q S, Hu B, Li W B 2009 Chin. Phys. B 18 2610
[13]	Hamiuddin M 1986 Powder Metall. Int. 18 73
[14]	Ashby M F, Evans A, Fleck N A, Gibson L J, Hutchinson J W, Wadley H N G 2000 Metal Foams: A Design Guide (Boston: Elsevier Science)
[15]	Nagaki S, Sowerby R, Goya M 1991 Mater. Sci. Eng. A 142 163
[16]	Silva M G D A, Ramesh K T 1997 Mater. Sci. Eng. A 232 11
[17]	Simone A E, Gibson L J 1997 Mater. Sci. Eng. A 229 55
[18]	Han F S, Liu C S, Zhu Z G 1998 Acta Phys. Sin. 47 520 (in Chinese) [韩福生、刘长松、朱震刚 1998 47 520]
[19]	Liu P S 2000 J. Adv. Mater. 32 9
[20]	Deshpande V S, Fleck N A 2000 J. Mech. Phys. Solids 48 1253
[21]	Badiche X, Forest S, Guibert T, Bienvenu Y, Bartout J D, Ienny P, Croset M, Bernet H 2000 Mater. Sci. Eng. A 289 276
[22]	Nieh T G, Higashi K, Wadsworth J 2000 Mater. Sci. Eng. A 283 105
[23]	Benouali A H, Froyen L, Delerue J F, Wevers M 2002 Mater. Sci. Tech. 18 489
[24]	Kwon Y W, Cooke R E, Park C 2003 Mater. Sci. Eng. A 343 63
[25]	Choe H, Dunand D C 2004 Mater. Sci. Eng. A 384 184
[26]	Liu P S, Sang H B 2004 Int. J. Iron Steel Res. 11 53
[27]	Liu P S 2006 Mater. Sci. Eng. A 422 176
[28]	Liu P S 2007 Materials Science Research Horizon (New York: NOVA Science Publishers) Chap 3
[29]	Liu P S 2007 Mater. Des. 28 2678
[30]	Liu P S 2009 Mater. Sci. Eng. A 507 190
[31]	Liu P S, Chen G F, Chen Y M 2009 Phil. Mag. Lett. 89 655
[32]	Liu P S 2010 Mater. Des. 31 2264
[33]	Liu P S 2010 Acta Phys. Sin. 59 4849 (in Chinese) [刘培生 2010 59 4849]
[34]	Liu P S, Liang K M 2000 Mater. Sci. Tech. 16 575
[35]	Zhang W K, Li N Z, He D P 2005 J. Mater. Res. 15 1248
[36]	Liu P S 2006 Chin. J. Mater. Res. 20 64 (in Chinese) [刘培生 2006 材料研究学报 20 64]
[37]	Fan Q S 2008 Engineering Mechanics (Beijing: Machinical Industry Press) (in Chinese) [范钦珊 2008 工程力学 (北京:机械工业出版社)]

[1]	陈钇成, 张成龙, 张丽超, 祁志美. InSb光栅耦合的太赫兹表面等离激元共振传感方法. , 2024, 73(9): 098701. doi: 10.7498/aps.73.20231904
[2]	王智环, 贾雷明, 何增, 田宙. 冲击载荷下线性硬化材料中球面应力波场的理论计算方法研究. , 2022, 71(1): 018301. doi: 10.7498/aps.71.20210954
[3]	邵春瑞, 李海洋, 王军, 夏国栋. 多孔结构体材料热整流效应. , 2021, 70(23): 236501. doi: 10.7498/aps.70.20211285
[4]	张权治, 张雷宇, 马方方, 王友年. 多孔材料的低温刻蚀技术. , 2021, 70(9): 098104. doi: 10.7498/aps.70.20202245
[5]	税敏, 于明海, 储根柏, 席涛, 范伟, 赵永强, 辛建婷, 何卫华, 谷渝秋. 激光加载下金属锡材料微喷颗粒与低密度泡沫混合实验研究. , 2019, 68(7): 076201. doi: 10.7498/aps.68.20182280
[6]	席涛, 范伟, 储根柏, 税敏, 何卫华, 赵永强, 辛建婷, 谷渝秋. 超高应变率载荷下铜材料层裂特性研究. , 2017, 66(4): 040202. doi: 10.7498/aps.66.040202
[7]	陈俊祥, 于继东, 耿华运, 贺红亮. 多孔材料的温度和压强计算. , 2017, 66(5): 056401. doi: 10.7498/aps.66.056401
[8]	严达利, 李申予, 刘士余, 竺云. 银纳米颗粒/多孔硅复合材料的制备与气敏性能研究. , 2015, 64(13): 137102. doi: 10.7498/aps.64.137102
[9]	严达利, 李申予, 刘士余, 竺云. 银纳米颗粒/多孔硅复合材料的制备与气敏性能研究. , 2015, 64(13): 137104. doi: 10.7498/aps.64.137104
[10]	喻寅, 贺红亮, 王文强, 卢铁城. 多孔脆性材料对高能量密度脉冲的吸收和抵抗能力. , 2015, 64(12): 124302. doi: 10.7498/aps.64.124302
[11]	杨淑敏, 韩伟, 顾建军, 李海涛, 岂云开. 虹彩环形结构色氧化铝薄膜的制备与研究. , 2015, 64(7): 076102. doi: 10.7498/aps.64.076102
[12]	程赛, 吕惠民, 崔静雅. 退火重结晶制备AlN/C复合泡沫材料及其力学性能研究. , 2012, 61(3): 036203. doi: 10.7498/aps.61.036203
[13]	张强, 户田裕之. 同步辐射K边减影成像及其在多孔金属材料中的应用. , 2011, 60(11): 114103. doi: 10.7498/aps.60.114103
[14]	姚小虎, 张晓晴, 韩强. 轴向冲击载荷作用下双壁碳纳米管的动力屈曲. , 2011, 60(9): 096202. doi: 10.7498/aps.60.096202
[15]	吕惠民, 石振海, 赵超, 魏萍. 空心微球/网络复合型碳泡沫材料制备与机理分析. , 2010, 59(11): 7956-7960. doi: 10.7498/aps.59.7956
[16]	刘培生. 多孔材料在压缩载荷作用下的剪切破坏模式分析. , 2010, 59(7): 4849-4856. doi: 10.7498/aps.59.4849
[17]	吕惠民, 石振海, 陈光德. 纯六方相氮化铝泡沫材料的合成. , 2009, 58(9): 6403-6407. doi: 10.7498/aps.58.6403
[18]	陈钢进, 肖慧明, 夏钟福. 电晕充电多孔PTFE/PP复合驻极体过滤材料的电荷存储特性. , 2006, 55(5): 2464-2469. doi: 10.7498/aps.55.2464
[19]	刘晶晶, 孙俊君, 胡海云, 邢修三. 海洋腐蚀条件下材料环境失效的寿命预测. , 2005, 54(5): 2414-2417. doi: 10.7498/aps.54.2414
[20]	马大猷, 李沛滋, 戴根华, 王宏玉. 多孔材料的出流和多孔扩散消声理论. , 1978, 27(6): 631-644. doi: 10.7498/aps.27.631

计量

文章访问数: 9583
PDF下载量: 957
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

搜索

留言板