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The compressive behavior is one of the most basic mechanical properties of engineering materials. With the simplified structural model, the compressive failure mode is analyzed for isotropic three-dimensional reticulated porous materials, and the mathematical relationships between nominal main stress and porosity are obtained for these materials at shearing failure under uniaxial compression, biaxial compression and triaxial compression, respectively. The results show that, the porous body of brittle material species shows the tensile fracture mode of pore struts, and the porous body of ductile material species may display the shearing fracture mode of pore struts. The correspondingly obtained criteria of strength design can be referred to in applications of these materials under respective loading failure modes.
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Keywords:
- porous material /
- foamed material /
- compressive load /
- shearing 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] 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)]
[5] Ma Q L 2004 Acta Phys. Sin. 53 1952 (in Chinese) [马春兰 2004 物理学报 53 1952]
[6] 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]
[7] 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]
[8] Wang C F, Li Q S, Hu B, Li W B 2009 Chin. Phys. B 18 2610
[9] 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)
[10] Nagaki S, Sowerby R, Goya M 1991 Mater. Sci. Engi. A 142 163
[11] Silva M G D A, Ramesh K T 1997 Mater. Sci. Engi. A 232 11
[12] Simone A E, Gibson L J 1997 Mater. Sci. Engi. A 229 55
[13] 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]
[14] Kovacik J 1998 Acta Materialia 46 5413
[15] Liu P S 2007 Materials Science Research Horizon (New York: NOVA Science Publishers)
[16] Liu P S 2000 J. Advan. Mater. 32 9
[17] Deshpande V S, Fleck N A 2000 J. Mechan. Phys. Solids 48 1253
[18] Badiche X, Forest S, Guibert T, Bienvenu Y, Bartout J D, Ienny P, Croset M, Bernet H 2000 Mater. Sci. Engi. A 289 276
[19] Nieh T G, Higashi K, Wadsworth J 2000 Mater. Sci. Engi. A 283 105
[20] Benouali A H, Froyen L, Delerue J F, Wevers M 2002 Mater. Sci. Technol. 18 489
[21] Kwon Y W, Cooke R E, Park C 2003 Mater. Sci. Engi. A 343 63
[22] Choe H, Dunand D C 2004 Mater. Sci. Engi. A 384 184
[23] Fan H L, Fang D N 2009 Materials and Design 30 1659
[24] Liu P S, Sang H B 2004 International Journal of Iron and Steel Research 11 53
[25] Liu P S 2006 Mater. Sci. Engi. A 422 176
[26] Liu P S 2007 Materials and Design 28 2678
[27] Liu P S 2009 Mater. Sci. Engi. A 507 190
[28] Liu P S, Chen G F, Chen Y M 2009 Philosophical Magazine Letters 89 655
[29] Liu P S 2009 Materials and Design 31 2264
[30] Fan Q S 2008 Engineering Mechanics (Beijing: Machinery Industrial Press) (in Chinese) [范钦珊 2008 工程力学 (北京:机械工业出版社) Liu P S 2006 Chin. J. Mater. Res. 20 64 (in Chinese) 〖刘培生 2006 材料研究学报20 64]
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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] 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)]
[5] Ma Q L 2004 Acta Phys. Sin. 53 1952 (in Chinese) [马春兰 2004 物理学报 53 1952]
[6] 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]
[7] 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]
[8] Wang C F, Li Q S, Hu B, Li W B 2009 Chin. Phys. B 18 2610
[9] 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)
[10] Nagaki S, Sowerby R, Goya M 1991 Mater. Sci. Engi. A 142 163
[11] Silva M G D A, Ramesh K T 1997 Mater. Sci. Engi. A 232 11
[12] Simone A E, Gibson L J 1997 Mater. Sci. Engi. A 229 55
[13] 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]
[14] Kovacik J 1998 Acta Materialia 46 5413
[15] Liu P S 2007 Materials Science Research Horizon (New York: NOVA Science Publishers)
[16] Liu P S 2000 J. Advan. Mater. 32 9
[17] Deshpande V S, Fleck N A 2000 J. Mechan. Phys. Solids 48 1253
[18] Badiche X, Forest S, Guibert T, Bienvenu Y, Bartout J D, Ienny P, Croset M, Bernet H 2000 Mater. Sci. Engi. A 289 276
[19] Nieh T G, Higashi K, Wadsworth J 2000 Mater. Sci. Engi. A 283 105
[20] Benouali A H, Froyen L, Delerue J F, Wevers M 2002 Mater. Sci. Technol. 18 489
[21] Kwon Y W, Cooke R E, Park C 2003 Mater. Sci. Engi. A 343 63
[22] Choe H, Dunand D C 2004 Mater. Sci. Engi. A 384 184
[23] Fan H L, Fang D N 2009 Materials and Design 30 1659
[24] Liu P S, Sang H B 2004 International Journal of Iron and Steel Research 11 53
[25] Liu P S 2006 Mater. Sci. Engi. A 422 176
[26] Liu P S 2007 Materials and Design 28 2678
[27] Liu P S 2009 Mater. Sci. Engi. A 507 190
[28] Liu P S, Chen G F, Chen Y M 2009 Philosophical Magazine Letters 89 655
[29] Liu P S 2009 Materials and Design 31 2264
[30] Fan Q S 2008 Engineering Mechanics (Beijing: Machinery Industrial Press) (in Chinese) [范钦珊 2008 工程力学 (北京:机械工业出版社) Liu P S 2006 Chin. J. Mater. Res. 20 64 (in Chinese) 〖刘培生 2006 材料研究学报20 64]
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