A Finite-Element Approach for the Partitioning of Carbon in Q&P Steel
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This paper reports a Galerkin finite-element analysis of carbon partitioning from martensite into austenite during the quenching and partitioning (Q&P) processes in steels. In contrast to classical or sophisticated diffusion field models, an alternative nonlinear governing equation based on chemical potential and composition is considered. The model is applied to simulate the carbon partitioning of modified 22MnB5 alloys assuming an immobile austenite–martensite phase boundary and, in turn, is compared with experimental measurements of the volume fraction and carbon content of retained austenite. The simulations show outstanding results on the influence of Si and C content on the partitioning parameters.
The authors are grateful to the financial support of the National Key Research and Development Program of China (No. 2017YFB0304401) (No. 2017YFB0703003), National Natura Science Foundation of China (U1564203, Nos.51571141 and 51201105), and the Interdisciplinary Program of Shanghai Jiao Tong University (No.YG2014MS23). Julio C. Gonzalez Lainez is grateful to Professor Wei Li and Doctor Yu Gong, School of Materials Science & Engineering, Shanghai Jiao Tong University, for the stimulating discussions that contributed to guide this research all along its development. The authors are very gratefully to the support provided by the Chinese Scholarship Council (CSC).
- 2.J. Speer, A. Streicher, D. Matlock, F. Rizzo, and G. Krauss: in Symposium on the Thermodynamics, Kinetics, Characterization and Modeling of: Austenite Formation and Decomposition, 2003, pp. 505–22.Google Scholar
- 4.S. Keeler and M. Kimchi: Advanced High-Strength Steels Application Guidelines V5, WorldAutoSteel, 2015.Google Scholar
- 12.D. A. Porter, K. E. Easterling, and M. Sherif: Ref. User Services Q., 1992, vol. 1, p. 245.Google Scholar
- 14.J. N. Reddy: An Introduction to the Finite Element Method, vol. 2, McGraw-Hill, 1993.Google Scholar
- 15.T. R. Chandrupatla, A. D. Belegundu, T. Ramesh, and C. Ray: Introduction to finite elements in engineering, vol. 2, Prentice Hall , Upper Saddle River, NJ, 2002.Google Scholar
- 16.D. L. Logan: A First Course in the Finite Element Method, Cengage Learning, 2011.Google Scholar
- 28.A. Kokosza and J. Pacyna: Metall. Mater. Trans. A, 2008, vol. 31, p. 593–99.Google Scholar
- 29.D.T. Pierce, D.R. Coughlin, K.D. Clarke, E.D. Moor, J. Poplawsky, D.L. Williamson, B. Mazumder, J.G. Speer, A. Hood, and A.J. Clarke: Acta Mater., 2018, vol. 151.Google Scholar
- 30.Z.B. Tong, T. Di, J.H. Tao: J. Univ. Sci. Technol. Beijing, 2012, vol. 34, pp. 1288–1293.Google Scholar
- 31.M.J. Khknen, E.D. Moor, J. Speer, and G. Thomas: SAE Int. J. Mater. Manuf., 2015, vol. 8.Google Scholar
- 33.J. Kahkonen: Ph.D. Thesis, Colorado School of Mines. Arthur Lakes Library, 2016.Google Scholar
- 37.L.O. Wolf, F. Nrnberger, D. Rodman, and H. J. Maier: Steel Res. Int., 88: 271 (2016).Google Scholar