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Inclusions in steel: micro–macro modelling approach to analyse the effects of inclusions on the properties of steel

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Abstract

The performance requirements of steel sheets are becoming increasingly stringent. Inclusions present as non-metallic phases affect the mechanical properties and workability in the down-stream processes of the sheet production adversely. By knowing how the inclusions affect the properties, suitable process parameters can be identified to avoid the defects formation during the forming operations. A very small size of the inclusions necessitates their behavioural study at the micro-scale. This requires a micro–macro modelling approach to identify the effects of the inclusions on forming operations such as hot rolling. In this work, a comprehensive micro–macro model is presented to quantify the effects of the inclusions and their characteristics on the properties of steel during solidification and forming. A micro-model developed using 2-D Finite Element Method is used to study void formation and its evolution at the inclusion/matrix interface (interfacial damage) and stress evolution in and around the inclusions. The model is then employed to study the effects of inclusion properties (hard/soft), its size and shape on the properties of the steel matrix. The constitutive equation for the macro-scale simulation of hot rolling is updated based on the findings of the micro-model. The modified constitutive equation at the macro-scale will allow the choice of a suitable process-parameters regime that will avoid failure during hot rolling and also lead to improved final properties in steel containing inclusions.

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References

  1. Luo C (2001) Evolution of voids close to an inclusion in hot deformation of metals. Comput Mater Sci 21:360–374

    Article  Google Scholar 

  2. Luo C, Ståhlberg U (2001) Deformation of inclusions during hot rolling of steels. J Mater Process Technol 114:87–97

    Article  Google Scholar 

  3. Yu HL, Bi HY, Liu XH, Tu YF (2008) Strain distribution of strips with spherical inclusion during cold rolling. Trans Nonferrous Metals Soc China 18:919–924

    Article  Google Scholar 

  4. Stiénon A, Fazekasa A, Buffière JY, Vincent A, Daguier P, Merchi F (2009) A new methodology based on X-ray micro-tomography to estimate stress concentrations around inclusions in high strength steels. Mater Sci Eng A 513:376–383

    Article  Google Scholar 

  5. Ghosh A (2001) Secondary steelmaking. CRC, Boca Raton

    Google Scholar 

  6. Eshelby JD (1957) The determination of the elastic field of an ellipsoidal inclusion and related problems. Proc R Soc Lond A Math Phys Sci. doi:10.1098/rspa.1957.0133

    MATH  Google Scholar 

  7. Eshelby JD (1959) The elastic field outside an ellipsoidal inclusion. Proc R Soc Lond A Math Phys Sci. doi:10.1098/rspa.1959.0173

    MATH  Google Scholar 

  8. Ervasti E, Stahlberg U (2005) Void initiation close to a macro-inclusion during single pass reductions in the hot rolling of steel slabs: a numerical study. J Mater Process Technol 170:142–150

    Article  Google Scholar 

  9. Hwang YM, Chen DC (2003) Analysis of the deformation mechanism of void generation and development around inclusions inside the sheet during sheet rolling processes. J Eng Manuf. doi:10.1243/095440503322617144

    Google Scholar 

  10. Yu HL, Bi HY, Liu XH, Chen LQ, Dong NN (2009) Behavior of inclusions with weak adhesion to strip matrix during rolling using FEM. J Mater Process Technol 209:4274–4280

    Article  Google Scholar 

  11. Yang DX, Xie JP, Zhang KF, Liu ZF, Wang AQ (2009) Numerical simulation of stress field in inclusions of large rudder arm steel castings. China Foundry 6(3):219–225

    Google Scholar 

  12. Prasannavenkatesan R, Zhang J, McDowell DL, Olson GB, Jou HJ (2009) 3D modeling of subsurface fatigue crack nucleation potency of primary inclusions in heat treated and shot peened martensitic gear steels. Int J Fatigue 3:1176–1189

    Article  Google Scholar 

  13. Gupta A, Kumar P, Anapagaddi R, Reddy N, Goyal S, Singh AK, Padmanabhan KA (2013) Integrated modeling of steel refining, casting and rolling operations to obtain design set points for quality steel sheet production. NUMIFORM 2013, AIP Conf Proc. doi:10.1063/1.4806880

  14. Allazadeh MR, Garcia CI, DeArdo AJ, Lovell MR (2009) Analysis of stress concentration around inclusions due to thermally induced strain to the steel matrix. JASTM Int. doi:10.1520/JAI102041

    Google Scholar 

  15. Siegmund T, Brocks W (1999) Prediction of the work of separation and implications to modeling. Int J Fract 99:97–116

    Article  Google Scholar 

  16. ANSYS Release 14.0, Help System, Mechanical APDL, ANSYS, Inc

  17. A MEMS Clearing house® and information portal for the MEMS and Nanotechnology community. http://www.memsnet.org/material/aluminumoxideal2o3bulk/. Accessed on 11 Feb 2013

  18. Bernard G, Ribound PV, Urbain G (1981) Investigation of the plasticity of oxide inclusions. Rev Metall Cah Inf Tech 78:421–433

    Google Scholar 

  19. Dandekar CR, Shin YC (2011) Molecular dynamics based cohesive zone law for describing Al–SiC interface mechanics. Compos A: Appl Sci Manuf 42(4):355–363

    Article  Google Scholar 

  20. Hao S, Liu WK, Moran B, Vernerey F, Olson GB (2004) Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels. Comput Meth Appl Mech Eng 193:1865–1908

    Article  MATH  Google Scholar 

  21. Alfano G, Crisfield MA (2001) Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues. Int J Numer Meth Eng. doi:10.1002/nme.93

    Google Scholar 

  22. Lasdon LS, Waren AD, Jain A, Ratner M (1978) Design and testing of a generalized reduced gradient code for nonlinear programming. ACM Trans Math Softw 4(1):34–50

    Article  MATH  Google Scholar 

  23. Murakami Y (2002) Metal fatigue: effects of small defects and non-metallic inclusions. Elsevier, Amsterdam

    Google Scholar 

  24. Zhang L, Thomas BG (2003) State of the art in evaluation and control of steel cleanliness. ISIJ Int 43(3):271–291

    Article  Google Scholar 

  25. Gautham BP, Singh AK, Ghaisas SS, Reddy SS, Mistree F (2013) PREMΛP—a platform for the realization of engineered materials and products. ICoRD'13, Lecture Notes in Mech. Eng., Chennai. doi:10.1007/978-81-322-1050-4_104

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Correspondence to A. K. Singh.

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Gupta, A., Goyal, S., Padmanabhan, K.A. et al. Inclusions in steel: micro–macro modelling approach to analyse the effects of inclusions on the properties of steel. Int J Adv Manuf Technol 77, 565–572 (2015). https://doi.org/10.1007/s00170-014-6464-5

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  • DOI: https://doi.org/10.1007/s00170-014-6464-5

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