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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.
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Keywords:
- porous material /
- foamed material /
- compressive load /
- buckling failure
[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)]
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[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)]
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