Physical Modeling of Flow Stress during the Hot Deformation of Nb Steels

Article Preview

Abstract:

In order to provide an accurate prediction of the flow stress during the thermal deformation process, a physical model is established. In the model, it is assumed that the flow stress is mainly composed of short-range stress and long-range stress. The short-range stress is a friction stress needed to be overcome when dislocations pass short-range obstacles and through the lattice, and the long-range stress is athermal stress caused by the interaction of dislocation substructure. The model is established mainly based on the evolution of dislocation density which is described as a competitive process of work hardening and recovery. Meanwhile, the interaction between vacancies and dislocations is also taken into account. The effect of solutes and precipitation on stress is quantified. In addition, some experiments have been performed using two steels containing different amounts of Nb under various deformation conditions. The experimental results indicate the prediction accuracy of the model is satisfactory.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

247-253

Citation:

Online since:

January 2019

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2019 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] J.H. Hollomon, Tensile deformation, Trans. AIME. 162 (1945) 268-290.

Google Scholar

[2] P. Ludwik, Elements der technologischen Mechanik, Verlag Von Julius Springer, Leipzig, (1909).

Google Scholar

[3] D.C. Ludwigson, Modified stress-strain relation for FCC metals and alloys, Metall. Trans. 2 (1971) 2825-2828.

DOI: 10.1007/bf02813258

Google Scholar

[4] H.W. Swift, Plastic instability under plane stress, J. Mech. Phys. Solids. 1 (1952) 1-18.

Google Scholar

[5] S. Shida, Empirical formula of flow stress of carbon steels—resistance to deformation of carbon steels at elevated temperature, J. Japan. Soc. Technol. Plast. 10 (1969) 610-617.

Google Scholar

[6] G.R. Johnson, W.H. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Eng. Fract. Mech. 21 (1985) 31-48.

DOI: 10.1016/0013-7944(85)90052-9

Google Scholar

[7] Y.C. Lin, L.T. Li, Y.X. Fu, Y.Q. Jiang, Hot compressive deformation behavior of 7075 Al alloy under elevated temperature, J. Mater. Sci. 47 (2012) 1306-1318.

DOI: 10.1007/s10853-011-5904-y

Google Scholar

[8] S. Mandal, V. Rakesh, P.V. Sivaprasad, S. Venugopal, K.V. Kasiviswanathan, Constitutive equations to predict high temperature flow stress in a Ti-modified austenitic stainless steel, Mat. Sci. Eng. A. 500 (2009) 114-121.

DOI: 10.1016/j.msea.2008.09.019

Google Scholar

[9] L.E. Lindgren, K. Domkin, S. Hansson, Dislocations, vacancies and solute diffusion in physical based plasticity model for AISI 316L, Mech. Mater. 40 (2008) 907-919.

DOI: 10.1016/j.mechmat.2008.05.005

Google Scholar

[10] F.J. Zerilli, R.W. Armstrong, Dislocation-mechanics-based constitutive relations for material dynamics calculations, J. Appl. Phys. 61 (1987) 1816-1825.

DOI: 10.1063/1.338024

Google Scholar

[11] D. Samantaray, S. Mandal, A.K. Bhaduri. Comput. Mater. Sci. 47 (2009) 568-576.

Google Scholar

[12] R.M. Broudy, Dislocations and mechanical properties of crystals, John Wiley, New York, (1957).

Google Scholar

[13] U.F. Kocks, H. Mecking, Physics and phenomenology of strain hardening: the FCC case, Prog. Mater. Sci. 3 (2003) 171-273.

DOI: 10.1016/s0079-6425(02)00003-8

Google Scholar

[14] J. Liu, J. Edberg, M.J. Tan, L.E. Lindgren, S. Castagne, A.E.W. Jarfors, Finite element modelling of superplastic-like forming using a dislocation density-based model for AA5083, Modelling. Simul. Mater. Sci. Eng.21 (2013) 025006.

DOI: 10.1088/0965-0393/21/2/025006

Google Scholar

[15] M. Zamani, H. Dini, A. Svoboda, L.E. Lindgren, S. Seifeddine, N.E. Andersson, A.E.W. Jarfors, A dislocation density based constitutive model for as-cast Al-Si alloys: Effect of temperature and microstructure, Int. J. Mech. Sci. 121 (2017) 164-170.

DOI: 10.1016/j.ijmecsci.2017.01.003

Google Scholar

[16] Y. Bergström, The plastic deformation of metals--a dislocation model and its applicability, Rev. Power. Metall. Phys. Ceram. 2 (1983) 79-265.

Google Scholar

[17] Y. Estrin, A. Finel, M. Veron, D. Mazière, Thermodynamics, microstructures, and plasticity, Proceedings of the NATO Advanced Study Institute, Fréjus, France, 2002 2-13.

Google Scholar

[18] G. Engberg, L. Lissel, Steel. Res. Int. 79 (2008) 47-58.

Google Scholar

[19] A.H. van den Boogaard, J. Huétink, Simulation of aluminium sheet forming at elevated temperatures, Comput. Method. Appl. Mech. Eng. 195 (2006) 6691-6709.

DOI: 10.1016/j.cma.2005.05.054

Google Scholar

[20] T. Siwecki, G. Engberg, Recrystallization controlled rolling of steels, Thermo-Mechanical Processing in Theory, Modelling and Practice, Stockholm, Sweden, 1996 121-144.

Google Scholar

[21] M. Militzer, W. P. Sun, J.J. Jonas, Modelling the effect of deformation-induced vacancies on segregation and precipitation, Acta. Metall. Mater. 42 (1994) 133-141.

DOI: 10.1016/0956-7151(94)90056-6

Google Scholar

[22] W.F. Kocks, Thermodynamics and kinetics of slip, Progr. Mater. Sci. 37 (1975) 1-281.

Google Scholar

[23] H.J. Frost, M.F. Ashby, Deformation-Mechanism Maps: The Plasticity and Creep of Metals and Ceramics, Pergamon Press, Headington Hill Hall, Oxford, OX3 OBW, England, (1982).

Google Scholar