Constitutive Equations for Hot Deformation of Plain-Carbon Steel

Abstract:

In order to optimize the hot deformation processing, useful and efficient mathematical models able to evaluate the different aspects of the response of plain carbon steel to hot plastic deformation are among the most important prerequisites. In this paper, a group of mathematical equations were developed according to a series of experiments data to model the austenite grain evolution, static and dynamic recrystallization during-deformation and post-deformation of plain carbon steel. And then those equations were implemented into ABAQUS6.5 (License Agreement Identifier: 27SHANU) using the VUMAT for numerical simulations of cylinder specimen compression.

• Periodical: Applied Mechanics and Materials (Volume 248)
• Pages: 325-330
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.248.325
• Online since: December 2012
• Authors: Qing Qiang He, Jia Sun, Jun You Zhao, Bao Min Yuan, Li Jian Xu
• Keywords: Constitutive Equation, H-Beam, Numerical Simulation, Plain Carbon Steel

References

[1] T. M. MACCAGNO. J. J. JONAS and P. D. HODGSON, Spreadsheet Modeling of Grain Size Evolution during Rod Rolling, ISIJ International. Vol. 36 (1996). No. 6. pp.720-728.

DOI: 10.2355/isijinternational.36.720

[2] F. SICILIANO Jr., K. MINAMI, T. M. MACCAGNO and J. J. JONAS, Mathematical Modeling of Mean Flow Stress, Fractional Softening and Grain Size during the Hot Strip Rolling of C-Mn-Steels, ISIJ International, Vol. 36(1996). No. 12, pp.1500-506.

DOI: 10.2355/isijinternational.36.1500

[3] K.P. Rao, Y.K.D.V. Prasad and E.B. Hawbolt, HOT DEFORMATION STUDIES ON A LOW-CARBON STEEL: PART 1-FLOW CURVES AND THE CONSTITUTIVE RELATIONSHIP, Journal of Materials Processing Technology 56 (1996) 897-907.

DOI: 10.1016/0924-0136(95)01902-2

[4] K.P. Rao, Y.K.D.V. Prasad and E.B. Hawbolt, HOT DEFORMATION STUDIES ON A LOW-CARBON STEEL: PART 2-AN ALGORITHM FOR THE FLOW STRESS DETERMINATION UNDER VARYING PROCESS CONDITIONS, Journal of Materials Processing Technology 56 (1996) 908-917.

DOI: 10.1016/0924-0136(95)01903-0

[5] F. G. CABALLERO, C. CAPDEVILA and C. GARCÍA DE ANDRÉS Modeling of Kinetics of Austenite Formation in Steels with Different Initial Microstructures, ISIJ International, Vol. 41 (2001), No. 10, pp.1093-1102.

DOI: 10.2355/isijinternational.41.1093

[6] J.M. Cabrera, J. Ponce, J.M. Prado, Modeling thermomechanical processing of austenite, Journal of Materials Processing Technology 143–144 (2003) 403–409.

DOI: 10.1016/s0924-0136(03)00441-2

[7] P D Hodgson, Microstructure modeling for property prediction and control, Journal of Materials Processing Technology 60 (1996)27-33.

[8] S. R. Wang and A. A. Tseng, Macro- and micro-modeling of hot rolling of steel coupled by a micro-constitutive relationship, PII: SO261-3069 (96) 00005-2.

DOI: 10.1016/0261-3069(96)00005-2

[9] J. Lin , T.A. Dean, Modeling of microstructure evolution in hot forming using unified constitutive equations, Journal of Materials Processing Technology 167 (2005) 354-362.

DOI: 10.1016/j.jmatprotec.2005.06.026

[10] Y. Liu, J. Lin, Modelling of microstructural evolution in multipass hot rolling, Journal of Materials Processing Technology 143-144 (2003) 723-728.

DOI: 10.1016/s0924-0136(03)00379-0

[11] N. Bontcheva , G. Petzov , Total simulation model of the thermo-mechanical process, in shape rolling of steel rods Computational Materials Science 34 (2005) 377-388.

DOI: 10.1016/j.commatsci.2005.01.009

[12] M. Glowacki, The mathematical modelling of thermo-mechanicalprocessing of steel during multi-pass shape rolling, Journal of Materials Processing Technology 168 (2005) 336–343.

DOI: 10.1016/j.jmatprotec.2004.12.007