The microstructural origin of strain hardening in two-dimensional open-cell metal foams

International Journal of Solids and Structures

Volumn 47, Issue 16, 2010, Pages 2081-2096

  Mangipudi, K R ^a   Van Buuren, S W ^a   Onck, P R ^a  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Cellular solids; Elastic plastic beam; Heat treatment; Strain hardening; Strut morphology

Indexed keywords

CELLULAR ARCHITECTURE; CELLULAR METAL; CELLULAR SOLIDS; ELASTIC-PLASTIC BEAM; EXPERIMENTAL STUDIES; LENGTH SCALE; MESOSCOPIC SCALE; MICRO-STRUCTURAL; MICROSCOPIC SCALE; MULTISCALE MODELS; OPEN-CELL METAL FOAMS; PLASTIC HARDENING; PLASTIC LOCALIZATION; PLASTIC ZONES; SOLID MATERIAL; STRUT MORPHOLOGY; TWO SOURCES;

ELASTOPLASTICITY; FOAMS; HEAT TREATMENT; METALS; MORPHOLOGY; PLASTICS; STRAIN HARDENING; STRUTS; SUPERCONDUCTING MATERIALS;

PLASTICITY;

EID: 77955277472     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2010.04.009     Document Type: Article

References (46)

1. E. Amsterdam, J.Th.M. De Hosson, and P.R. Onck On the plastic collapse stress of open-cell aluminum foam Scripta Mater. 59 2008 653 656
2. E. Amsterdam, J.H.B. de Vries, J.Th.M. De Hosson, and P.R. Onck The influence of strain-induced damage on the mechanical response of open-cell aluminum foam Acta Mater. 56 3 2008 609 618
3. E. Amsterdam, R. Goodall, A. Mortensen, P.R. Onck, and J.Th.M. De Hosson Fracture behavior of low-density replicated aluminum alloy foams Mater. Sci. Eng. A 496 2008 376 382
4. M.F. Ashby, A. Evans, N.A. Fleck, L.J. Gibson, J.W. Hutchinson, and H.N.G. Wadley Metal Foams: A Design Guide 2000 Butterworth-Heinemann Oxford
5. J. Banhart Manufacture, characterization and application of cellular metals and metal foams Prog. Mater. Sci. 46 2001 559 632
6. H. Bart-Smith, A.F. Bastawros, D.R. Mumm, A.G. Evans, D.J. Sypeck, and H.N.G. Wadley Compressive deformation and yielding mechanisms in cellular alloys determined using X-ray tomography and surface strain mapping Acta Mater. 46 10 1998 3583 3592
7. A.F. Bastawros, H. Bart-Smith, and A.G. Evans Experimental analysis of deformation mechanisms in a closed-cell aluminum alloy foam J. Mech. Phys. Solids 48 3 2000 301 322
8. C. Chen, T.J. Lu, and N.A. Fleck Effect of imperfections on the yielding of two dimensional foams J. Mech. Phys. Solids 47 1999 2235 2272
9. C.-H. Chuang, and J.-S. Huang Elastic moduli and plastic collapse strength of hexagonal honeycombs with plateau borders Int. J. Mech. Sci. 44 2002 1827 1844
10. M.A. Crisfield Non-linear Finite Element Analysis of Solids and Structures: Essentials vol. 1 1991 John Wiley & Sons
11. H.-P. Degischer, and B. Kriszt Handbook of Cellular Metals 2002 Wiley-VCH Verlag GmbH & Co. Weinheim
12. V.S. Deshpande, and N.A. Fleck Isotropic constitutive models for metallic foams J. Mech. Phys. Solids 48 2000 1253 1283
13. J.F. Despois, R. Mueller, and A. Mortensen Uniaxial deformation of microcellular metals Acta Mater. 54 2004 4129 4142
14. L.J. Gibson Mechanical behaviour of metallic foams Annu. Rev. Mater. Sci. 30 2000 191 227
15. L.J. Gibson, and M.F. Ashby Cellular Solids second ed. 1997 Cambridge University Press Cambridge
16. L.J. Gibson, M.F. Ashby, J. Zhang, and T.C. Triantafilliou Failure surfaces for cellular materials under multi-axial loads - I. Modeling Int. J. Mech. Sci. 31 9 1989 635 663
17. G. Gioux, T.M. McCormack, and L.J. Gibson Failure of aluminum foams under multiaxial loads Int. J. Mech. Sci. 42 6 2000 1097 1117
18. L. Gong, S. Kyriakides, and W.Y. Jang Compressive response of open-cell foams. Part-I: morphology and elastic properties Int. J. Solids Struct. 42 2005 1355 1379
19. H. Harders, K. Hupfer, and J. Rosler Influence of cell wall shape and density on the mechanical behaviour of 2D foam structures Acta Mater. 53 2005 1335 1345
20. H.S. Kim, and S.T.S. Al-Hasani A morphological elastic model of general hexagonal columnar structures Int. J. Mech. Sci. 43 2001 1027 1060
21. H.S. Kim, and S.T.S. Al-Hasani The effect of doubly tapered strut morphology on the plastic yield surface of cellular materials Int. J. Mech. Sci. 44 2002 1559 1581
22. B.V. Krishna, S. Bose, and A. Bandyopadhyay Strength of open-cell 6101 aluminium foams under free and constrained compression Mater. Sci. Eng. A 2007 178 188
23. D. Lehmhus, and J. Banhart Properties of heat-treated aluminium foams Mater. Sci. Eng. A 349 2003 98 110
24. K. Li, X.L. Gao, and G. Subhash Effects of cell shape and strut cross-sectional area variations on the elastic properties of three-dimensional open-cell foams J. Mech. Phys. Solids 54 2006 783 806
25. Mangipudi, K.R., Onck, P.R., 2006. Fracture of metal foams. In: Besson, J., Monieau, D., Speglich, D. (Eds.), Local Approach to Fracture, 9th European Mechanics of Materials Conference, pp. 193-196.
26. C.S. Marchi, and A. Mortensen Deformation of open-cell aluminum foam Acta Mater. 49 2001 3959 3969
27. C.S. Marchi, J.-F. Despois, and A. Mortensen Uniaxial deformation of open-cell aluminum foam: the role of internal damage Acta Mater. 52 2004 2895 2902
28. K.Y.G. McCullough, N.A. Fleck, and M.F. Ashby Uniaxial stress-strain behaviour of aluminium alloy foams Acta Mater. 47 8 1999 2323 2330
29. C. Motz, and R. Pippan Deformation behaviour of closed-cell aluminium foams in tension Acta Mater. 49 2001 2463 2470
30. C. Motz, and R. Pippan Fracture behaviour and fracture toughness of ductile closed-cell metallic foams Acta Mater. 50 2002 2013 2033
31. Onck, P.R., Mangipudi, K.R., 2009. The effect of cellular architecture on the ductility and strength of metal foams. In: Brechet, Y., Embury, J.D., Onck, P.R. (Eds.), Architectured Multifunctional Materials. Mater. Res. Soc. Symp. Proc., vol. 1188, pp. LL02-03.
32. P.R. Onck, R. van Merkerk, and J.Th.M. De Hosson Fracture of metal foams: in-situ testing and numerical modeling Adv. Eng. Mater. 6 2004 429 431
33. S.D. Papka, and S. Kyriakides In-plane compressive response and crushing of honeycomb J. Mech. Phys. Solids 42 10 1994 1499 1532
34. I. Schmidt, and N.A. Fleck Ductile fracture of two-dimensional cellular structures Int. J. Fracture 111 2001 327 342
35. P.H. Segerstad, and S. Toll Open-cell cellular solids: a constitutive equation for hyperelasticity with deformation induced anisotropy Int. J. Solids Struct. 45 2008 187 1992
36. P.H. Segerstad, R. Larsson, and S. Toll A constitutive equation for open-cell cellular solids, including viscoplasticity, damage and deformation induced anisotropy Int. J. Plast. 24 1 2008 896 914
37. M.J. Silva, and L.J. Gibson The effect of non-periodic microstructure and defects on the compressive strength of two-dimensional cellular solids Int. J. Mech. Sci. 39 5 1997 549 563
38. M.J. Silva, W.C. Hayes, and L.J. Gibson The effect of non-periodic microstructure on the elastic properties of two-dimensional cellular solids Int. J. Mech. Sci. 37 11 1995 1161 1177
39. I. Sridhar, and N.A. Fleck The multiaxial yield behaviour of an aluminium foam J. Mater. Sci. 40 2005 4005 4008
40. T.C. Triantafilliou, J. Zhang, T.L. Shercliff, L.J. Gibson, and M.F. Ashby Failure surfaces for cellular materials under multi-axial loads - II. Comparison of models with experiment Int. J. Mech. Sci. 31 9 1989 665 678
41. W.E. Warren, and A.M. Kraynik Foam mechanics: the linear elastic response of two-dimensional spatially periodic cellular materials Mech. Mater. 6 1987 27 37
42. P. Wriggers Nonlinear Finite Element Methods 2008 Springer-Verlag Berlin
43. J. Zhou, C. Mercer, and W.O. Soboyejo An investigation of the microstructure and strength of open-cell 6101 aluminum foams Metall. Mater. Trans. A 33 2002 1413 1427
44. J. Zhou, P. Shrotriya, and W.O. Soboyejo Mechanisms and mechanics of compressive deformation in open-cell al foams Mech. Mater. 36 2004 781 797
45. H.X. Zhu, J.R. Hobdell, and A.H. Windle Effects of cell irregularity on the elastic properties of 2D Voronoi honeycombs J. Mech. Phys. Solids 49 2001 857 870
46. H.X. Zhu, S.M. Thorpe, and A.H. Windle The geometrical properties of irregular two-dimensional Voronoi tessellations Philos. Mag. A 81 12 2001 2765 2783