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Original Reports

On correlation between the hardness-to-strength ratio and the plastic Poisson's ratio of nanoporous gold

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Pages 454-461 | Received 03 Jan 2023, Published online: 28 Feb 2023

References

  • Shaw M, Sata T. The plastic behavior of cellular materials. Int J Mech Sci. 1966;8(7):469–478. doi:10.1016/0020-7403(66)90019-1.
  • Wilsea M, Johnson K, Ashby M. Indentation of foamed plastics. Int J Mech Sci. 1975;17(7):457–IN6. doi:10.1016/0020-7403(75)90044-2.
  • Gibson LJ, Ashby MF. Cellular solids: structure and properties. 2nd ed. Cambridge University Press; 1997. (Cambridge Solid State Science Series). doi:10.1017/CBO9781139878326
  • Ashby MF, Evans T, Fleck NA, et al. Metal foams: a design guide. Woburn, USA: Elsevier; 2000.doi:10.1115/1.1421119.
  • Andrews E, Gioux G, Onck P, et al. Size effects in ductile cellular solids. part II: experimental results. Int J Mech Sci. 2001;43(3):701–713. doi:10.1016/s0020-7403(00)00043-6
  • Tabor D. The hardness of solids. Rev Phys Technol. 1970;1(3):145–179. doi:10.1088/0034-6683/1/3/i01
  • Meyers MA, Chawla KK. Mechanical behavior of materials. Cambridge, UK: Cambridge University Press; 2008.
  • Zhang P, Li S, Zhang Z. General relationship between strength and hardness. Mater Sci Eng A. 2011;529:62–73. doi:10.1016/j.msea.2011.08.061
  • Sypeck DJ, Wadley HNG, Bart-Smith H. Structure and deformation of aluminum foams through computed tomography. In: Thompson D.O., Chimenti D.E., editors. Review of Progress in Quantitative Nondestructive Evaluation Vol. 17. New York: Plenum Press; 1998. p. 1443–1450. doi:10.1007/978-1-4615-5339-7_186.
  • Hakamada M, Mabuchi M. Mechanical strength of nanoporous gold fabricated by dealloying. Scr Mater. 2007;56(11):1003–1006. doi:10.1016/j.scriptamat.2007.01.046
  • Hodge A, Biener J, Hayes J, et al. Scaling equation for yield strength of nanoporous open-cell foams. Acta Mater. 2007;55(4):1343–1349. doi:10.1016/j.actamat.2006.09.038
  • Biener J, Hodge AM, Hayes JR, et al. Size effects on the mechanical behavior of nanoporous au. Nano Lett. 2006;6(10):2379–2382.pMID: 17034115. doi:10.1021/nl061978i
  • Briot NJ, Balk TJ. Developing scaling relations for the yield strength of nanoporous gold. Philos Mag. 2015;95(27):2955–2973. doi:10.1080/14786435.2015.1078512
  • Miller RE. A continuum plasticity model for the constitutive and indentation behaviour of foamed metals. Int J Mech Sci. 2000;42(4):729–754. https://www.sciencedirect.com/science/article/pii/S0020740399000211. doi:10.1016/s0020-7403(99)00021-1.
  • Deshpande V, Fleck N. Isotropic constitutive models for metallic foams. J Mech Phys Solids. 2000;48(6–7):1253–1283. doi:10.1016/s0022-5096(99)00082-4
  • Kováčik J, Marsavina L, Linul E. Poisson's ratio of closed-cell aluminium foams. Materials. 2018;11(10):1904. doi:10.3390/ma11101904
  • Maiti S, Gibson L, Ashby M. Deformation and energy absorption diagrams for cellular solids. Acta Metall. 1984;32(11):1963–1975. doi:10.1016/0001-6160(84)90177-9
  • Ashby MF, Medalist RM. The mechanical properties of cellular solids. Metall Trans A. 1983;14(9):1755–1769. doi:10.1007/bf02645546
  • Liu L-Z, Zhang Y-Y, Xie H, et al. Transition from homogeneous to localized deformation in nanoporous gold. Phys Rev Lett. 2021;127(9):095501. doi:10.1103/physrevlett.127.095501
  • Erlebacher J, Aziz MJ, Karma A, et al. Evolution of nanoporosity in dealloying. Nature. 2001;410(6827):450–453.doi:10.1038/35068529
  • Weissmüller J, Newman RC, Jin H-J, et al. Nanoporous metals by alloy corrosion: formation and mechanical properties. MRS Bull. 2009;34(8):577–586. doi:10.1557/mrs2009.157
  • Zhang Y-Y, Xie H, Liu L-Z, et al. Surface triple junctions govern the strength of a nanoscale solid. Phys Rev Lett. 2021;126(23):235501. doi:10.1103/physrevlett.126.235501
  • Kim Y-C, Gwak E-J, min Ahn S, et al. Indentation size effect in nanoporous gold. Acta Mater. 2017;138:52–60. doi:10.1016/j.actamat.2017.07.040
  • ASTM Standard E140-12b. Hardness Conversion Tables for Metals Relationship Among Brinell Hardness, Vickers Hardness, Rockwell Hardness, Superficial Hardness, Knoop Hardness, Scleroscope Hardness, and Leeb Hardness. ASTM International; 2013. doi:10.1520/E0140-12B
  • Mangipudi K, Epler E, Volkert C. On the multiaxial yielding and hardness to yield stress relation of nanoporous gold. Scr Mater. 2018;146:150–153. doi:10.1016/j.scriptamat.2017.11.033
  • Lührs L, Soyarslan C, Markmann J, et al. Elastic and plastic Poisson's ratios of nanoporous gold. Scr Mater. 2016;110:65–69. doi:10.1016/j.scriptamat.2015.08.002
  • Jin H-J, Kurmanaeva L, Schmauch J, et al. Deforming nanoporous metal: role of lattice coherency. Acta Mater. 2009;57(9):2665–2672. doi:10.1016/j.actamat.2009.02.017
  • Volkert CA, Lilleodden ET, Kramer D, et al. Approaching the theoretical strength in nanoporous au. Appl Phys Lett. 2006;89(6):061920. doi:10.1063/1.2240109
  • Bürckert M, Briot NJ, Balk TJ. Uniaxial compression testing of bulk nanoporous gold. Philos Mag. 2017;97(15):1157–1178. doi:10.1080/14786435.2017.1292060
  • Huber N, Ryl I, Wu Y, et al. Densification of nanoporous metals during nanoindentation: the role of structural and mechanical properties. J Mater Res. 2023;38:853–866. doi:10.1557/s43578-022-00870-1.
  • Lührs L, Zandersons B, Huber N, et al. Plastic poisson's ratio of nanoporous metals: a macroscopic signature of tension–compression asymmetry at the nanoscale. Nano Lett. 2017;17(10):6258–6266. doi:10.1021/acs.nanolett.7b02950
  • Zhang Y-Y, Zou L, Liu L-Z, et al. Mechanical properties of unidirectional nanoporous gold under compression. Acta Mater. 2022;235:118078. doi:10.1016/j.actamat.2022.118078
  • Huber N. A strategy for dimensionality reduction and data analysis applied to microstructure–property relationships of nanoporous metals. Materials. 2021;14(8):1822. doi:10.3390/ma14081822
  • Needleman A, Tvergaard V, der Giessen EV. Indentation of elastically soft and plastically compressible solids. Acta Mech Sin. 2015;31(4):473–480. doi:10.1007/s10409-015-0467-9
  • Vaz MF, Fortes M. Characterization of deformation bands in the compression of cellular materials. J Mater Sci Lett. 1993;12(17):1408–1410. doi:10.1007/bf00241724
  • Jang W-Y, Kyriakides S. On the crushing of aluminum open-cell foams: part i. experiments. Int J Solids Struct. 2009;46(3–4):617–634. doi:10.1016/j.ijsolstr.2008.09.008
  • Gibson LJ. Mechanical behavior of metallic foams. Annu Rev Mater Sci. 2000;30(1):191–227. doi:10.1146/annurev.matsci.30.1.191
  • Briot NJ, Balk TJ. Focused ion beam characterization of deformation resulting from nanoindentation of nanoporous gold. MRS Commun. 2018;8(1):132–136. doi:10.1557/mrc.2017.138
  • Yang W, Luo Z-P, Bao W-K, et al. Light, strong, and stable nanoporous aluminum with native oxide shell. Sci Adv. 2021;7(28):eabb9471. doi:10.1126/sciadv.abb9471.