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

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[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 物理学报 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 物理学报 55 3785]
[10]	Zhang H W, Li Y X 2007 Acta Phys. Sin. 56 4864 (in Chinese) [张华伟、李言祥 2007 物理学报 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 物理学报 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 物理学报 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 物理学报 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 物理学报 55 3785]
[10]	Zhang H W, Li Y X 2007 Acta Phys. Sin. 56 4864 (in Chinese) [张华伟、李言祥 2007 物理学报 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 物理学报 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 物理学报 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)]

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