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Mathematical modelling of hot plastic deformation of Ti-V and Ti-Nb-V microalloyed steels

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: The article concerns the possibility to optimize the parameters of forging process with the method of thermo-mechanical treatment of steel with microadditions of Ti and V and Ti, Nb and V by means of mathematical modelling of yield stress obtained from conducted plastometric hot compression tests. Design/methodology/approach: To describe the yield stress, rheological model proposed by C.M. Sellars was used. Based on this model, the course of experimental and theoretical stressstrain curves has been verified using a minimum of goal function, for the most accurate matching of analyzed curves of investigated steels. Numerical calculations with the method of finite element method (FEM) were performed taking into consideration test results of compression of specimens in Gleeble 3800 simulator, in a temperature range of 900-1100°C and at the strain rate of 1-50 s-1. Findings: Rheological model assumed in the study, proposed by C.M. Sellars, describing the yield stress of investigated steels with microadditions as a function of strain, strain rate and temperature, proved to be the proper and effective tool for appropriate adjustment of the course of experimental and theoretical a-s flow curves, determined in plastometric hot compression tests. The best matching accuracy of analyzed curves was determined in the work by minimum value of the goal function, which represented simultaneously the best performance of applied inverse solution of finite element method. It has been found that the best matching accuracy of analyzed a-s curves was obtained for constructional steel containing 0.28% C and microadditions of Nb, Ti and V. Practical implications: Optymalization of yield stress values on the new-developed microalloyed steels by the use of mathematical modelling. Originality/value: Obtained results allow to conclude that assumed rheological model along with coefficients, determined with the method of inverse analysis, describe satisfactorily the values of yield stress steels of studied steels.
Rocznik
Strony
69--77
Opis fizyczny
Bibliogr. 32 poz.
Twórcy
autor
  • Institute of Engineering Materials and Biomaterials, Silesian University of Technology, ul. Konarskiego 18a, 4 4 -1 0 0 Gliwice, Poland, marek.opiela@polsl.pl
Bibliografia
  • [1] P.H. Hodgson, Mathematical modelling of recrystallization processes during the hot rolling of steel, PhD Thesis, University of Queensland, 1993.
  • [2] C.M. Sellars, Modelling microstructural development during hot rolling, Materials Science and Technology 6(1990) 1072-1081.
  • [3] J.H. Beynon, C.M. Sellars, Modelling microstructure and its effect during multipas hot rolling, The Iron and Steel Institute of Japan International 32 (1992) 359-367.
  • [4] P.D. Hodgson, R.K. Gibbs, A mathematical model to predict the mechanical properties of hot-rolled C-Mn and microalloyed steels, The Iron and Steel Institute of Japan International 32 (1992) 1329-1338.
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  • [6 ] Z. Malinowski, J.G. Lenard, M.E. Davies, A study of heat transfer coefficient as a function of temperature and pressure, Journal of Materials Processing Technology 41 (1994) 125-142.
  • [7] T. Siwecki, Modelling of microstructure evolution during recrystallization controlled rolling, The Iron and Steel Institute of Japan International 32 (1992) 368-376.
  • [8] B. Kowalski, C.M. Sellars, M. Pietrzyk, Development of a computer code for the interpretation of results of hot plane strain compression tests, The Iron and Steel Institute of Japan International 40 (2000) 1230-1236.
  • [9] J. Gawad, R Kuziak, L. Madej, D. Szeliga, M. Pietrzyk, Identification of rheological parameters on the basis of various types compression and tension tests, Steel Research International 76 (2005) 131-137.
  • [10] D. Szeliga, P. Matuszczyk, R. Kuziak, M. Pietrzyk, Identification of rheological parameters on the basis of various types of plastometric tests, Journal of Materials Processing Technology 125-126 (2002) 150-154.
  • [11] D. Szeliga, J. Gawad, M. Pietrzyk, Inverse analysis for identification of rheological and friction models in metal forming, Computer Methods in Applied Mechanics and Engineering 195 (2006) 6778-6798.
  • [12] A. Grajcar, Structural and mechanical behaviour of TRIP-type microalloyed steel in hot-working conditions, Journal of Achievements in Materials and Manufacturing Engineering 30 (2008) 27-34.
  • [13] L.A. Dobrzański, A. Grajcar, W. Borek, Hot-working behaviour of high-manganese austenitic steels, Journal of Achievements in Materials and Manufacturing Engineering 31 (2008) 7-14.
  • [14] M. Opielą, W. Ozgowicz, Effects of Nb, Ti and V on recrystallization kinetics of austenite in microalloyed steels, Journal of Achievements in Materials and Manufacturing Engineering 55 (2012) 759-771.
  • [15] A. Grajcar, Selection of hot-working conditions for TRIP-lype microalloyed steel, Archives of Materials Science and Engineering 31 (2008) 75-78.
  • [16] R Forestier, E. Massoni, Y. Chastal, Estimation of constitutive parameters using an inverse method coupled to a 3D finite element software, Journal of Materials Processing Technology 125-126 (2002) 594-601.
  • [17] S. Kobayashi, S.-I. Oh, T. Altan, Metal Forming and the Finite Element Method, Oxford University Press, New York.
  • [18] A. Gavrus, E. Massoni, J. Chenot, An inverse analysis using a finite element model for identification of rheological parameters, Journal of Materials Processing Technology 60 (1996) 447-454. Oxford, 1989.
  • [19] E. Hadasik, R Kuziak, R Kawalla, M. Adamczyk, M. Pietrzyk, Rheological model for simulation of hot rolling of new generation steel strips for automotive industry, Steel Research International 77 (2006) 927-933.
  • [20] D. Szeliga, J. Gawad, M. Pietrzyk, Identification of parameters of material models based on the inverse analysis, International Journal of Applied Mathematics and Computer Science 14 (2004) 549-556.
  • [21] E. Massoni, B. Boyer, R. Forestier, Inverse analysis of thermomechanical upsetting tests using gradient method with semi-analytical derivatives, International Journal of Thermal Science 41 (2002) 557-563.
  • [22] D. Szeliga, M. Pietrzyk, Testing of the inverse software for identification of rheological models of materials subjected to plastic deformation, Archives of Civil and Mechanical Engineering 7 (2007) 35-52.
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  • [24] M. Opiela, A. Grajcar, Hot deformation behavior and softening kinetics of Ti-V-B microalloyed steels, Archives of Civil and Mechanical Engineering 12 (2012)227-333.
  • [25] M. Opiela, Effect of thermomechanical processing on the microstructure and mechanical properties of Nb-Ti- V microalloyed steel, Journal of Materials Engineering and Performance 23 (2014) 3379-3388.
  • [26] E. Kalinowska-Ozgowicz, W. Wajda, W. Ozgowicz, Mathematical modelling and physical simulation of the hot plastic deformation and recrystallization of steel with micro-additives, Materiali in Tehnologije 49 (2015) 69-74.
  • [27] B. Kowalski, W. Wajda, M. Pietrzyk, C.M. Sellars, Influence of strain and strain rate inhomogeneity on constitutive equations determined from plane-strain
  • compression tests, in: A.M. Habraken (Ed.), Proceedings of the Fourth ESAFORM Conference on Materials Forming, Liege, Belgium 2001, 561-564.
  • [28] B. Kowalski, W. Wajda, M. Pietrzyk, C.M. Sellars, Influence of strain and strain rate inhomogeneity on constitutive equations determined from plane-strain compression tests, in: A.M. Habraken (Ed.), Proceedings of the Fourth ESAFORM Conference on Materials Forming, Liege, Belgium 2001, 561-564.
  • [29] J.M. Rodriguez-Ibabe, Thin slab direct rolling of microalloyed steels, Trans. Tech., Publications Ltd, Switzerland 2007.
  • [30] P. Uranga, A. I. Femadez, B. Lopez, Transition between static and metadynamic recrystallization kinetics in coarse Nb microalloyed austenite, Materials Science and Engineering A 345 (2003) 319-327.
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  • [32] L. Ma, Z. Liu, S. Jiao, X. Yuan, D. Wu, Dynamic recrystallization behaviour of Nb-Ti microalloyed steels, Journal of Wuhan University of Technology-Materials Science Editorial Department 4 (2008) 551-557.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-1b3297ee-918a-4e92-80de-9ed06f9a2304
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