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Prediction of the mechanical properties of rods after cold forging and heat treatment

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A hybrid algorithm based on the finite element method, Monte Carlo model, and Hall–Petch relationship is utilized to predict the mechanical properties of the rods after cold forging at different degrees of deformations and heat treatments at different temperatures and times. The results show that the flow stress and hardness of the rods after forging and those of the forged rods after the heat treatments are decreased from their center to surface. However, with increasing the temperature and time of the heat treatment the flow stress and hardness are decreased, their effects are not considerable. In addition, the distribution of the mechanical properties of the forged rods after the heat treatments is more uniform than the one before the heat treatments. Moreover, to verify the predicted results the hardness values of the rods after forging and heat treatment are measured experimentally and compared with the predicted ones.

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  1. 1.

    Semiatin SL, Jonas JJ (1984) Formability and workability of metals: plastic instability and flow localization. ASM, Materials Park

  2. 2.

    Altan T, Oh SI, Gegel HL (1983) Metal forming. ASM, Materials Park

  3. 3.

    Kelly A, Nicholson RB (1971) Strengthening methods in crystals. Applied Science Publishers, London

  4. 4.

    Humphreys FJ, Hatherly M (1995) Recrystallization and related annealing phenomena. Elsevier Science, Oxford

  5. 5.

    Kobayashi S, Oh SI, Altan T (1989) Metal forming and the finite element method. Oxford University Press, Oxford

  6. 6.

    Ding H, Hirai K, Homma T, Kamado S (2010) Numerical simulation for microstructure evolution in AM50 Mg alloy during hot rolling. Comput Mater Sci 47:919–925

  7. 7.

    Ren T, Shan D, Chen Y, Lu Y (2010) Surface plastic deformation distribution and microstructural evolution in the compound rolling of Ti–50Al billet. Mater Des 31:3457–3462

  8. 8.

    Sasaki TT, Barkey M, Thompson GB, Syarif Y, Fox D (2011) Microstructural evolution of copper clad steel bimetallic wire. Mater Sci Eng A 528:2974–2981

  9. 9.

    Tabor D (1951) The hardness of metal. Clarendon, Oxford

  10. 10.

    Stuwe HP, Padilha AF, Siciliano F Jr (2002) Competition between recovery and recrystallization. Mater Sci Eng A 333:361–367

  11. 11.

    Nayebi A, Bartier O, Mauvoisin G, El Abdi R (2001) New method to determine the mechanical properties of heat treated steels. Int J Mech Sci 43:2679–2697

  12. 12.

    Poole WJ, Ashby MF, Fleck NA (1996) Micro-hardness of annealed and work-hardened copper polycrystals. Scr Mater 34:559–564

  13. 13.

    Cotterill P, Mould PR (1976) Recrystallization and grain growth in metals. Surrey University Press, London

  14. 14.

    Christian JW (1965) The theory of transformations in metals and alloys. Pergamon, Oxford

  15. 15.

    Srolovitz DJ, Anderson MP, Grest GS, Sahni PS (1983) Grain growth in two dimensions. Scr Metall 17:241–246

  16. 16.

    Anderson MP, Srolovitz DJ, Grest GS, Sahni PS (1984) Computer simulation of grain growth—I. Kinetics. Acta Metall 32:783–791

  17. 17.

    Morhac M, Morhacova E (2000) Monte carlo simulation algorithms of grain growth in polycrystalline materials. Cryst Res Technol 35:117–128

  18. 18.

    Mandal D, Baker I (1995) Determination of the stored energy and recrystallization temperature as a function of depth after rolling of polycrystalline copper. Scr Metall Mater 33:645–650

  19. 19.

    Mohamed G, Bacroix B (2000) Role of stored energy in static recrystallization of cold rolled copper single and multicrystals. Acta Mater 48:3295–3302

  20. 20.

    McElroy RJ, Szkopiak ZC (1972) Dislocation substructure strengthening and mechanical treatment of metals. Int Metall Rev 17:175–202

  21. 21.

    Mecking H, Kocks UF (1981) Kinetic of flow stress and strain hardening. Acta Metall 29:1865–1875

  22. 22.

    Kazeminezhad M, Karimi Taheri A, Kiet Tieu A (2007) Utilization of the finite element and Monte Carlo model for simulating the recrystallization of inhomogeneous deformation of copper. Comput Mater Sci 38:765–773

  23. 23.

    Srolovitz DJ, Grest GS, Anderson MP (1986) Computer simulation of recrystallization—I. Homogeneous nucleation and growth. Acta Metall 34:1833–1845

  24. 24.

    Rollett AD (1997) Overview of modeling and simulation of recrystallization. Prog Mater Sci 42:79–99

  25. 25.

    Rollett AD, Srolovitz DJ, Doherty RD, Anderson MP (1989) Computer simulation of recrystallization in non-uniformly deformed metals. Acta Metall 37:627–639

  26. 26.

    Lim YY, Chaudhri MM (2002) The influence of grain size on the indentation hardness of high-purity copper and aluminum. Phi Mag A 82:2071–2080

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Correspondence to Mohsen Kazeminezhad.

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Kazeminezhad, M. Prediction of the mechanical properties of rods after cold forging and heat treatment. Int J Adv Manuf Technol 69, 2071–2079 (2013). https://doi.org/10.1007/s00170-013-5189-1

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  • Forging
  • Mechanical properties
  • FEM
  • Monte Carlo model
  • Hall–Petch relationship