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Prediction of the residual state of stress in a superduplex stainless steel produced by sand casting (using a coupled thermo-mechanical approach)

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Abstract

The present work aims at investigating the effect, in terms of residual stress prediction, determined by the adoption of different material constitutive models in the Finite Element simulation of the casting process of a superduplex stainless steel benchmark, from the cooling after the pouring phase to the subsequent heat treatment (heating and water quenching). A 3D thermo-mechanical Finite Element (FE) model was created with the commercial code Abaqus: the preliminary thermal problem, i.e. the determination of the heat transfer coefficients during both the mould cooling and the quenching, was solved by means of an inverse analysis approach by minimizing the difference between the numerical evolution of temperature and the experimental acquisition coming from real casting test. Two separate routes were followed according to the adopted constitutive equations: modelling the material as (i) elasto-plastic or (ii) elasto-viscoplastic. The numerical prediction of the residual state of stress in terms of casting relaxation was compared with the experimental data after the cut of the casting using an electro-discharge machine. The analysis revealed that when the elasto-viscoplastic modelling was adopted, the simulations underestimated the relaxation with an error larger than 50%; on the other hand, the elasto-plastic model leads to an overestimation with an error of about 30%.

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References

  1. Totten G, Howes M, Inoue T (2002) Handbook of residual stresses and deformation of steel, ASM International

  2. Vasantharaja P, Vasudevan M, Palanichamy P (2014) Effect of welding processes on the residual stress and distortion in type 316LN stainless steel weld joints. J Manuf Process. https://doi.org/10.1016/j.jmapro.2014.09.004

  3. Kong F, Ma J, Kovacevic R (2011) Numerical and experimental study of thermally induced residual stress in the hybrid laser–GMA welding process. J Mater Process Technol 211:1102–1111. https://doi.org/10.1016/j.jmatprotec.2011.01.012

    Article  Google Scholar 

  4. García Navas V, Gonzalo O, Bengoetxea I (2012) Effect of cutting parameters in the surface residual stresses generated by turning in AISI 4340 steel. Int J Mach Tools Manuf 61:48–57. https://doi.org/10.1016/j.ijmachtools.2012.05.008

    Article  Google Scholar 

  5. Mc Guire MF (2008) Stainless steel for design engineers, ASM International

  6. Wang YQ, Han J, Wu HC, Yang B, Wang XT (2013) Effect of sigma phase precipitation on the mechanical and wear properties of Z3CN20.09M cast duplex stainless steel. Nucl Eng Des 259:1–7. https://doi.org/10.1016/j.nucengdes.2013.02.037

    Article  Google Scholar 

  7. Chan K, Tjong S (2014) Effect of secondary phase precipitation on the corrosion behavior of duplex stainless steels. Materials (Basel) 7:5268–5304. https://doi.org/10.3390/ma7075268

    Article  Google Scholar 

  8. Fargas G, Mestra A, Mateo A (2013) Effect of sigma phase on the wear behavior of a super duplex stainless steel. Wear 303:584–590. https://doi.org/10.1016/j.wear.2013.04.010

    Article  Google Scholar 

  9. Si H-M, Cho C, Kwahk S-Y (2003) A hybrid method for casting process simulation by combining FDM and FEM with an efficient data conversion algorithm. J Mater Process Technol 133:311–321. https://doi.org/10.1016/S0924-0136(02)01008-7

    Article  Google Scholar 

  10. Fackeldey M, Ludwig A, Sahm PR (1996) Coupled modelling of the solidification process predicting temperatures, stresses and microstructures. Comput Mater Sci 7:194–199. https://doi.org/10.1016/S0927-0256(96)00080-8

    Article  Google Scholar 

  11. Fachinotti VD, Cardona A (2003) Constitutive models of steel under continuous casting conditions. J Mater Process Technol 135:30–43. https://doi.org/10.1016/S0924-0136(02)00955-X

    Article  Google Scholar 

  12. Koric S, Thomas BG (2008) Thermo-mechanical models of steel solidification based on two elastic visco-plastic constitutive laws. J Mater Process Technol 197:408–418. https://doi.org/10.1016/j.jmatprotec.2007.06.060

    Article  Google Scholar 

  13. Palumbo G, Piccininni A, Piglionico V, Guglielmi P, Sorgente D, Tricarico L (2015) Modelling residual stresses in sand-cast superduplex stainless steel. J Mater Process Technol 217:253–261. https://doi.org/10.1016/j.jmatprotec.2014.11.006

    Article  Google Scholar 

  14. Metzger D, Jarrett New K, Dantzig J (2001) A sand surface element for efficient modeling of residual stress in castings. Appl Math Model 25:825–842. https://doi.org/10.1016/S0307-904X(01)00017-8

    Article  MATH  Google Scholar 

  15. Nishida Y, Droste W, Engler S (1986) The air-gap formation process at the casting-mold interface and the heat transfer mechanism through the gap. Metall Trans B 17:833–844. https://doi.org/10.1007/BF02657147

    Article  Google Scholar 

  16. Palumbo G, Piglionico V, Piccininni A, Guglielmi P, Sorgente D, Tricarico L (2015) Determination of interfacial heat transfer coefficients in a sand mould casting process using an optimised inverse analysis. Appl Therm Eng 78:682–694. https://doi.org/10.1016/j.applthermaleng.2014.11.046

    Article  Google Scholar 

  17. Elkatatny I, Morsi Y, Blicblau AS, Das S, Doyle ED (2003) Numerical analysis and experimental validation of high pressure gas quenching, 42:417–423. https://doi.org/10.1016/S1290-0729(02)00042-X

  18. Xiao B, Wang Q, Wang G, Sisson RD, Rong Y (2010) Robust methodology for determination of heat transfer coefficient distribution in convection. Appl Therm Eng 30:2815–2821. https://doi.org/10.1016/j.applthermaleng.2010.08.017

    Article  Google Scholar 

  19. Handbook of heat treating, ASM International, 1991

  20. Sedighi M, McMahon CA (2000) The influence of quenchant agitation on the heat transfer coefficient and residual stress development in the quenching of steels. Proc Inst Mech Eng Part B J Eng Manuf 214:555–567. https://doi.org/10.1243/0954405001518251

    Article  Google Scholar 

  21. Fernandes P, Prabhu KN (2007) Effect of section size and agitation on heat transfer during quenching of AISI 1040 steel, 183:1–5. https://doi.org/10.1016/j.jmatprotec.2006.08.028

  22. Sugianto A, Narazaki M, Kogawara M, Shirayori A (2009) A comparative study on determination method of heat transfer coefficient using inverse heat transfer and iterative modification. J Mater Process Tech 209:4627–4632. https://doi.org/10.1016/j.jmatprotec.2008.10.016

    Article  Google Scholar 

  23. Li MEI, Allison JE (2007) Determination of thermal boundary conditions for the casting and quenching process with the optimization tool. OptCast 38:567–574. https://doi.org/10.1007/s11663-007-9076-8

    Article  Google Scholar 

  24. Huiping L, Guoqun Z, Shanting N, Yiguo L, Inverse heat conduction analysis of quenching process using finite-element and optimization method, m (2006) 1087–1096. https://doi.org/10.1016/j.finel.2006.04.002

  25. Gustafsson E, Hofwing M, Strömberg N (2009) Residual stresses in a stress lattice—experiments and finite element simulations. J Mater Process Technol 209:4320–4328. https://doi.org/10.1016/j.jmatprotec.2008.11.025

    Article  Google Scholar 

  26. Schajer GS (2011) Destructive methods for measuring residual stresses: techniques and opportunities. Conf Proc Soc Exp Mech Ser 6:221–231. https://doi.org/10.1007/s11340-010-9386-7

    Article  Google Scholar 

  27. ASM Handbook Volume 9: Metallography and microstructures, Vander Voo, ASM International, 2004

  28. ISO 6892-2, Metallic materials -- Tensile testing -- Part 2: Method of test at elevated temperature, 2011

  29. Kang S, Im Y (2007) Three-dimensional thermo-elastic – plastic finite element modeling of quenching process of plain-carbon steel in couple with phase transformation, 49:423–439. https://doi.org/10.1016/j.ijmecsci.2006.09.014

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Acknowledgments

The present work arose from activities conducted in the project SMATI, funded in the framework of the European National Operative Programme for Research and Competitiveness and coordinated by Prof. Luigi Tricarico, to whom the authors are grateful for the support and the guidance.

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Correspondence to A. Piccininni.

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Palumbo, G., Piccininni, A. & Guglielmi, P. Prediction of the residual state of stress in a superduplex stainless steel produced by sand casting (using a coupled thermo-mechanical approach). Int J Adv Manuf Technol 107, 3011–3022 (2020). https://doi.org/10.1007/s00170-020-05213-0

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