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A numerical study of grain size effects on the strength and elongation of Al polycrystals using strain gradient plasticity theory

  • L. Zhou , S. X. Li and W. Ke
Published/Copyright: March 1, 2013
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International Journal of Materials Research
From the journal International Journal of Materials Research Volume 99 Issue 2

Abstract

By incorporating the constitutive equations based on classical plasticity and the mechanism-based strain gradient plasticity with finite element software, the stress–strain relationships and uniform elongations of Al polycrystals with different grain sizes were studied numerically. The calculation results indicate that grain refinement cannot substantially improve the uniform elongation but can increase the yield strength of Al polycrystals when the grain size is of the order of the micron and submicron scale. The Hall–Petch relationship for yield strength holds and the uniform elongation decreases with decreasing grain size. The calculation results in general agree well with the experiment data.

Keywords:: Strain gradient plasticity; Classical plasticity; Finite element method; Al polycrystals; Size effect
1 Correspondence address: Dr. Li Zhou, Department of Mechanical Engineering, Shenyang Ligong University, Shenyang, 110168, China, Tel.: +86 248 225 3722, Fax: +86 242 468 2115. E-mail:

References

[1] H.Jin, D.J.Lloyd: Scripta. Mater.50(2004)1319.10.1016/j.scriptamat.2004.02.021Search in Google Scholar

[2] N.A.Fleck, G.M.Muller, M.F.Ashby, J.W.Hutchinson: Acta Metal. Mater.42(1994)475.10.1016/0956-7151(94)90502-9Search in Google Scholar

[3] J.S.Stolken, A.G.Evans: Acta Mater.46(1998)5109.10.1016/S1359-6454(98)00153-0Search in Google Scholar

[4] D.J.Lloyd: Int. Mater. Rev.39(1994)1.10.1179/095066094790150982Search in Google Scholar

[5] C.Y.Yu, P.W.Kao, C.P.Chang: Acta Mater.53(2005)4019.10.1016/j.actamat.2005.05.005Search in Google Scholar

[6] Z.Xue, Y.Huang, M.Li: Acta Mater.50(2002)149.10.1016/S1359-6454(01)00325-1Search in Google Scholar

[7] H.Gao, Y.Huang, W.D.Nix, J.W.Hutchinson: J. Mech. Phys. Solids47(1999)1239.10.1016/S0022-5096(98)00103-3Search in Google Scholar

[8] Y.Huang, Z.Xue, H.Gao, Z.C.Xia: J. Mater. Res.15(2000)1786.10.1557/JMR.2000.0258Search in Google Scholar

[9] R.Saha, Z.Xue, Y.Huang, W.D.Nix: J. Mech. Phys. Solids49(2001)1997.10.1016/S0022-5096(01)00035-7Search in Google Scholar

[10] N.A.Fleck, J.W.Hutchinson: J. Mech. Phys. Solids41(1993)1825.10.1016/0022-5096(93)90072-NSearch in Google Scholar

[11] K.S.Cheong, E.P.Busso, A.Arsenlis: Int. J. Plasticity21(2005)1797.10.1016/j.ijplas.2004.11.001Search in Google Scholar

[12] H.Gao, Y.Huang: Int. J. Solid. Mater. Struct.38(2001)2615.10.1016/S0020-7683(00)00173-6Search in Google Scholar

[13] L.Zhou, S.X.Li, C.R.Chen, Y.C.Wang, Q.S.Zang, K.Lu: Mater. Sci. Eng. A352(2003)300.10.1016/S0921-5093(02)00901-2Search in Google Scholar

[14] L.Zhou, S.X.Li, Y.C.Wang, Q.S.Zang, K.Lu: Z. Metallkd.11(2003)1222.10.3139/146.031222Search in Google Scholar

[15] J.Y.Shu, C.Y.Barrlow: Int. J. Plasticity16(2000)563.10.1016/S0749-6419(99)00088-1Search in Google Scholar

[16] J.L.Bassani, A.Needleman: Int. J. Solid. Struct.38(2001)833.10.1016/S0020-7683(00)00059-7Search in Google Scholar

[17] C.W.Nan, D.R.Clarke: Acta Mater.44(1996)3801.10.1016/1359-6454(96)00008-0Search in Google Scholar

[18] G.Saada: Mater. Sci. Eng. A400–401(2005)146.10.1016/j.msea.2005.02.091Search in Google Scholar

[19] E.W.Hart: Acta Metall.15(1967)351.10.1016/0001-6160(67)90211-8Search in Google Scholar

[20] N.Tsuji, Y.Ito, Y.Saito, Y.Minamino: Scripta. Mater.47(2002)893.10.1016/S1359-6462(02)00282-8Search in Google Scholar

[21] S.X.Li, G.Y.Li, Y.Q.Weng: Z. Metallkd.95(2004)115.10.3139/146.017919Search in Google Scholar

Received: 2007-03-04
Accepted: 2007-11-19
Published Online: 2013-03-01
Published in Print: 2008-02-01

© 2008, Carl Hanser Verlag, Munich

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https://doi.org/10.3139/146.101614
Keywords for this article
Strain gradient plasticity; Classical plasticity; Finite element method; Al polycrystals; Size effect

Articles in the same Issue

  1. Contents
  2. Contents
  3. Editorial
  4. IJMR wishes all its readers and contributors a belated Happy New Year
  5. Basic
  6. Experimental study of the phase relations in the Fe–Zn–Cr system at 600°C
  7. Thermodynamic description of the ternary Pd–Sn–Zn system
  8. The morphology of nitrided iron–chromium alloys; influence of chromium content and nitrogen supersaturation
  9. The surface tension and density of Ag–Bi–Sn alloys
  10. Density and thermal expansion of liquid binary Al–Ag and Al–Cu alloys
  11. Hardening precipitation and mechanical properties in new Mg–Mn–Y–Gd alloys
  12. On recrystallization texture formation in polycrystalline fcc alloys with low stacking fault energies
  13. A numerical study of grain size effects on the strength and elongation of Al polycrystals using strain gradient plasticity theory
  14. Applied
  15. Thermodynamic simulation of the Bayer process
  16. The anisotropy of deformation for friction stir processed Mg alloy due to the existence of onion rings
  17. A study of the Si-phase growth mechanismin thixocast (A356) alloy during hot deformation
  18. Study of hydrogen absorption of aluminum melt
  19. Modelling of work-hardening behaviour for laser welded magnesium alloy
  20. Tribological behavior of short carbon fiber or hybrid with SiCp reinforced Al alloy composites
  21. Elevated temperature compressive behavior of Nb-22Ti-16Si-7Cr-3Al-3Ta-2Hf alloy with minor Ho addition
  22. Notifications
  23. News
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