journal article·2014-06

Modeling the strain-hardening effect and plastic deformation of nanocrystalline FCC metals dispersed with the finest grains

Hongxi Liu, Jianqiu Zhou, Shu Zhang, Ying Wang, Lu Wang, Shuhong Dong

Journal of Nanoparticle Research· Volume 16· Issue 6
Publisher page

Abstract

A mechanism-based plasticity model focusing on deformation and failure behavior of nanocrystalline (NC) FCC metals dispersed the finest grains (FGs) is proposed. The stress–strain relationship is derived by invoking the impeding effect of the FGs on the movement of grain boundary dislocations along the grain boundaries and the unique role of nanocracks into the constitutive model. A strain-based cumulative distribution function is also included in the present model to account for the contribution of grain boundaries to the local flow stress due to grain refinement during plastic deformation. It is found that the interaction between dislocations and the FGs contributes to the strain-hardening property and the failure behavior is attributed to the nanocrack evolution. Numerical results show that the proposed model can successfully describe the enhanced strength and ductility of the NC metals in previous experimental literatures. It is further noted that the strength and ductility are sensitive to the volume fraction of the FGs and the density of nanocracks. This quantitative continuum plasticity model can be utilized to optimize the mechanical properties of the nanostructured metals by tuning the material structure parameters.
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Research context

OpenAlex topics: Advanced materials and composites · Aluminum Alloys Composites Properties · Microstructure and mechanical properties

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References (53)

Show source-provided references
1. Asaro RJ, Suresh S (2005) Mechanistic models for the activation volume and rate sensitivity in metals with nanocrystalline grains and nano-scale twins. Acta Mater 53:3369–3382. doi: 10.1016/j.actamat.2005.03.04710.1016/j.actamat.2005.03.047 ↗
2. Asaro RJ, Krysl P, Kad B (2003) Deformation mechanism transitions in nanoscale fcc metals. Phil Mag Lett 83:733–743. doi: 10.1080/0950083031000161454010.1080/09500830310001614540 ↗
3. Balogh L, Ungár T, Zhao Y, Zhu YT, Horita Z, Xu C, Langdon TG (2008) Influence of stacking-fault energy on microstructural characteristics of ultrafine-grain copper and copper–zinc alloys. Acta Mater 56:809–820. doi: 10.1016/j.actamat.2007.10.05310.1016/j.actamat.2007.10.053 ↗
4. Bouaziz O, Allain S, Scott C (2008) Effect of grain and twin boundaries on the hardening mechanisms of twinning-induced plasticity steels. Scr Mater 58:484–487. doi: 10.1016/j.scriptamat.2007.10.05010.1016/j.scriptamat.2007.10.050 ↗
5. Budrovic Z, Swygenhoven HV, Derlet P (2004) Plastic deformation with reversible peak broadening in nanocrystalline nickel. Science 304:273–27610.1126/science.1095071 ↗
6. Capolungo L (2005) Homogenization method for strength and inelastic behavior of nanocrystalline materials. Int J Plast 21:67–82. doi: 10.1016/j.ijplas.2004.02.00210.1016/j.ijplas.2004.02.002 ↗
7. Champion Y, Bonnentien J (2001) Fabrication of bulk nanostructured materials from metallic nanopowders—Structure and mechanical behaviour. Scr Mater 44:1609–161310.1016/S1359-6462(01)00782-5 ↗
8. Chen J, Lu L, Lu K (2006) Hardness and strain rate sensitivity of nanocrystalline Cu. Scr Mater 54:1913–1918. doi: 10.1016/j.scriptamat.2006.02.02210.1016/j.scriptamat.2006.02.022 ↗
9. Chen A, Li D, Zhang J, Song H, Lu J (2008) Make nanostructured metal exceptionally tough by introducing non-localized fracture behaviors. Scr Mater 59:579–582. doi: 10.1016/j.scriptamat.2008.04.04810.1016/j.scriptamat.2008.04.048 ↗
10. Cheng S et al (2005) Tensile properties of in situ consolidated nanocrystalline Cu. Acta Mater 53:1521–1533. doi: 10.1016/j.actamat.2004.12.00510.1016/j.actamat.2004.12.005 ↗
11. Fan JT, Chen AY, Fu MW, Lu J (2009) A novel structural gradient metallic glass composite with enhanced mechanical properties. Scr Mater 61:608–611. doi: 10.1016/j.scriptamat.2009.05.04610.1016/j.scriptamat.2009.05.046 ↗
12. Farkas D, Van Swygenhoven H, Derlet P (2002) Intergranular fracture in nanocrystalline metals. Phys Rev B 66. doi: 10.1103/PhysRevB.66.06010110.1103/PhysRevB.66.060101 ↗
13. Fedorov AA, Gutkin MY, Ovid’ko IA (2003) Transformations of grain boundary dislocation pile-ups in nano- and polycrystalline materials. Acta Mater 51:887–898. doi: 10.1016/S1359-6454(02)00433-010.1016/S1359-6454(02)00433-0 ↗
14. Fu HH, Benson DJ, André Meyers M (2004) Computational description of nanocrystalline deformation based on crystal plasticity. Acta Mater 52:4413–4425. doi: 10.1016/j.actamat.2004.05.03610.1016/j.actamat.2004.05.036 ↗
15. Gleiter H (1989) Nanocrystalline materials. Prog Mater Sci 33:9210.1016/0079-6425(89)90001-7 ↗
16. Gu P, Dao M, Asaro RJ, Suresh S (2011) A unified mechanistic model for size-dependent deformation in nanocrystalline and nanotwinned metals. Acta Mater 59:6861–6868. doi: 10.1016/j.actamat.2011.07.01910.1016/j.actamat.2011.07.019 ↗
17. Hu L, Huo R, Zhou J, Wang Y, Zhang S (2012) The effects of the finest grains on the mechanical behaviours of nanocrystalline materials. J Nanopart Res 14:677–693. doi: 10.1007/s11051-011-0677-410.1007/s11051-011-0677-4 ↗
18. Huang Y, Qu S, Hwang KC, Li M, Gao H (2004) A conventional theory of mechanism-based strain gradient plasticity. Int J Plast 20:753–782. doi: 10.1016/j.ijplas.2003.08.00210.1016/j.ijplas.2003.08.002 ↗
19. Jia D, Wang YM, Ramesh KT, Ma E, Zhu YT, Valiev RZ (2001) Deformation behavior and plastic instabilities of ultrafine-grained titanium. Appl Phys Lett 79:611. doi: 10.1063/1.138400010.1063/1.1384000 ↗
20. Jiang B, Weng GJ (2004) A generalized self-consistent polycrystal model for the yield strength of nanocrystalline materials. J Mech Phys Solids 52:1125–1149. doi: 10.1016/j.jmps.2003.09.00210.1016/j.jmps.2003.09.002 ↗
21. Kachanov M (1994) Elastic solids with many cracks and related problems. Adv Appl Mech 30:259–44510.1016/S0065-2156(08)70176-5 ↗
22. Khan AS, Farrokh B, Takacs L (2008) Compressive properties of Cu with different grain sizes: sub-micron to nanometer realm. J Mater Sci 43:3305–3313. doi: 10.1007/s10853-008-2508-210.1007/s10853-008-2508-2 ↗
23. Kim HS, Estrin Y, Bush MB (2000) Plastic deformation behaviour of fine-grained materials. Acta Mater 48:493–504. doi: 10.1016/S1359-6454(99)00353-510.1016/S1359-6454(99)00353-5 ↗
24. Kocks UF, Mecking H (2003) Physics and phenomenology of strain hardening: the FCC case. Prog Mater Sci 48:171–273. doi: 10.1016/S0079-6425(02)00003-810.1016/S0079-6425(02)00003-8 ↗
25. Lebensohn R, Bringa E, Caro A (2007) A viscoplastic micromechanical model for the yield strength of nanocrystalline materials. Acta Mater 55:261–271. doi: 10.1016/j.actamat.2006.07.02310.1016/j.actamat.2006.07.023 ↗
26. Legros M, Elliott BR, Rittner MN, Weertman JR, Hemker KJ (2000) Microsample tensile testing of nanocrystalline metals. Philos Mag A 80:1017–1026. doi: 10.1080/0141861000821209610.1080/01418610008212096 ↗
27. Li H, Ebrahimi F (2004) Transition of deformation and fracture behaviors in nanostructured face-centered-cubic metals. Appl Phys Lett 84:4307. doi: 10.1063/1.175619810.1063/1.1756198 ↗
28. Li J, Soh AK (2012) Modeling of the plastic deformation of nanostructured materials with grain size gradient. Int J Plast. doi: 10.1016/j.ijplas.2012.06.004
29. Lu L, Shen Y, Chen X, Qian L, Lu K (2004) Ultrahigh strength and high electrical conductivity in copper. Science 304:422–426. doi: 10.1126/science.109290510.1126/science.1092905 ↗
30. Ma E (2003) Instabilities and ductility of nanocrystalline and ultrafine-grained metals. Scr Mater 49:663–668. doi: 10.1016/S1359-6462(03)00396-810.1016/S1359-6462(03)00396-8 ↗
31. Ma E (2006) Eight routes to improve the tensile ductility of bulk nanostructured metals and alloys. JOM 58:49–53. doi: 10.1007/s11837-006-0215-510.1007/s11837-006-0215-5 ↗
32. Madec R, Devincre B, Kubin L (2002) From dislocation junctions to forest hardening. Phys Rev Lett 89:255508. doi: 10.1103/PhysRevLett.89.25550810.1103/PhysRevLett.89.255508 ↗
33. Meyers MA, Mishra A, Benson DJ (2006) Mechanical properties of nanocrystalline materials. Prog Mater Sci 51:427–556. doi: 10.1016/j.pmatsci.2005.08.00310.1016/j.pmatsci.2005.08.003 ↗
34. Sanders P, Eastman J (1997) Elastic and tensile behavior of nanocrystalline copper and palladium. Acta Mater 45:4019–402510.1016/S1359-6454(97)00092-X ↗
35. Schiøtz J, Vegge T, Di Tolla F, Jacobsen K (1999) Atomic-scale simulations of the mechanical deformation of nanocrystalline metals. Phys Rev B 60:11971–11983. doi: 10.1103/PhysRevB.60.1197110.1103/PhysRevB.60.11971 ↗
36. Shenoy V, Kukta R, Phillips R (2000) Mesoscopic analysis of structure and strength of dislocation junctions in fcc metals. Phys Rev Lett 84:1491–1494. doi: 10.1103/PhysRevLett.84.149110.1103/PhysRevLett.84.1491 ↗
37. Sinclair CW, Poole WJ, Bréchet Y (2006) A model for the grain size dependent work hardening of copper. Scr Mater 55:739–742. doi: 10.1016/j.scriptamat.2006.05.01810.1016/j.scriptamat.2006.05.018 ↗
38. Van Petegem S, Dalla Torre F, Segers D, Van Swygenhoven H (2003) Free volume in nanostructured Ni. Scr Mater 48:17–22. doi: 10.1016/S1359-6462(02)00322-610.1016/S1359-6462(02)00322-6 ↗
39. Van Swygenhoven H (2003) Preface to the viewpoint set on: mechanical properties of fully dense nanocrystalline metals. Scr Mater 49:625–627. doi: 10.1016/s1359-6462(03)00399-310.1016/S1359-6462(03)00399-3 ↗
40. Wang Y (2003) Microsample tensile testing of nanocrystalline copper. Scr Mater 48:1581–1586. doi: 10.1016/S1359-6462(03)00159-310.1016/S1359-6462(03)00159-3 ↗
41. Wang Y, Chen M, Zhou F, Ma E (2002) High tensile ductility in a nanostructured metal. Nature 419:912–915. doi: 10.1038/nature0113310.1038/nature01133 ↗
42. Wang Y, Li J, Hamza AV, Barbee TW Jr (2007) Ductile crystalline-amorphous nanolaminates. Proc Natl Acad Sci USA 104:11155–11160. doi: 10.1073/pnas.070234410410.1073/pnas.0702344104 ↗
43. Wu X, Zhu Y, Wei Y, Wei Q (2009) Strong strain hardening in nanocrystalline nickel. Phys Rev Lett 103:1–4. doi: 10.1103/PhysRevLett.103.205504
44. Yamakov V, Wolf D, Phillpot SR, Gleiter H (2002) Grain-boundary diffusion creep in nanocrystalline palladium by molecular-dynamics simulation. Acta Mater 50:61–73. doi: 10.1016/S1359-6454(01)00329-910.1016/S1359-6454(01)00329-9 ↗
45. Youngdahl C, Sanders P (1997) Compressive yield strengths of nanocrystalline Cu and Pd. Scr Mater 37:809–81310.1016/S1359-6462(97)00157-7 ↗
46. Youssef KM, Scattergood RO, Linga Murty K, Koch CC (2004) Ultratough nanocrystalline copper with a narrow grain size distribution. Appl Phys Lett 85:929. doi: 10.1063/1.177934210.1063/1.1779342 ↗
47. Youssef KM, Scattergood RO, Murty KL, Horton Ja, Koch CC, Carolina N (2005) Ultrahigh strength and high ductility of bulk nanocrystalline copper. Appl Phys Lett 87:091904. doi: 10.1063/1.203412210.1063/1.2034122 ↗
48. Zhao Y, Liao XZ, Cheng S, Ma E, Zhu YT (2006) Simultaneously increasing the ductility and strength of nanostructured alloys. Adv Mater 18:2280–2283. doi: 10.1002/adma.20060031010.1002/adma.200600310 ↗
49. Zhao Y et al (2008) High tensile ductility and strength in bulk nanostructured nickel. Adv Mater 20:3028–3033. doi: 10.1002/adma.20080021410.1002/adma.200800214 ↗
50. Zhao Y, Zhu Y, Lavernia EJ (2010) Strategies for improving tensile ductility of bulk nanostructured materials. Adv Eng Mater 12:769–778. doi: 10.1002/adem.20090033510.1002/adem.200900335 ↗
51. Zhu L, Lu J (2012) Modelling the plastic deformation of nanostructured metals with bimodal grain size distribution. Int J Plast 30–31:166–184. doi: 10.1016/j.ijplas.2011.10.00310.1016/j.ijplas.2011.10.003 ↗
52. Zhu B, Asaro RJ, Krysl P, Zhang K, Weertman J (2006) Effects of grain size distribution on the mechanical response of nanocrystalline metals: part II. Acta Mater 54:3307–3320. doi: 10.1016/j.actamat.2006.03.02210.1016/j.actamat.2006.03.022 ↗
53. Zhu L, Ruan H, Li X, Dao M, Gao H, Lu J (2011) Modeling grain size dependent optimal twin spacing for achieving ultimate high strength and related high ductility in nanotwinned metals. Acta Mater 59:5544–5557. doi: 10.1016/j.actamat.2011.05.02710.1016/j.actamat.2011.05.027 ↗