Korean Journal of Materials Research, Vol.24, No.7, 381-387, July, 2014
Practical Model for Predicting Beta Transus Temperature of Titanium Alloys
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The β-transus temperature in titanium alloys plays an important role in the design of thermo-mechanical treatments. It primarily depends on the chemical composition of the alloy and the relationship between them is non-linear and complex. Considering these relationships is difficult using mathematical equations. A feed-forward neural-network model with a backpropagation algorithm was developed to simulate the relationship between the β-transus temperature of titanium alloys, and the alloying elements. The input parameters to the model consisted of the nine alloying elements (i.e., Al, Cr, Fe, Mo, Sn, Si, V, Zr, and O), whereas the model output is the β-transus temperature. The model developed was then used to predict the β-transus
temperature for different elemental combinations. Sensitivity analysis was performed on a trained neural-network model to study the effect of alloying elements on the β-transus temperature, keeping other elements constant. Very good performance of the model was achieved with previously unseen experimental data. Some explanation of the predicted results from the metallurgical point of view is given. The graphical-user-interface developed for the model should be very useful to researchers and in industry for designing the thermo-mechanical treatment of titanium alloys.
- Ankem S, Scarr GK, Caplan IL, Williams JC, Sergle SR, Bomberger HB, Proceedings of 6th World Conference on Titanium, 3, 265 (1988)
- Bania PJ, Jom, 46, 16 (1994)
- H. Onodera, Y. Ro, T. Yamagata and M. Yamazaki:Proceedings of 5th International Conference on Titanium, 3, 1883890 (1984).
- Yolton CF, Froes FH, Malone RF, Metall. Trans. A., 10, 132 (1979)
- Bhadeshia HKDH, Neural networks mater. sci., ISIJ Int., 39, 966 (1999)
- Guo Z, Sha W, Comput. Mater. Sci., 29, 12 (2004)
- Malinov S, Sha W, Comput. Mater. Sci., 28, 179 (2003)
- Guo Z, Malinov S, Sha W, Comput. Mater. Sci., 32, 1 (2005)
- R. Boyer, G. Welsch and E. W. Collings: Materials Properties Handbook: Titanium Alloys (1994).
- P. A. Blenkinsop, W. J. Evans and H. M. Flower: Proc. 8th World Conf. on Titanium (1995).
- R. Boyer, G. Welsch and E. W. Collings: Materials Properties Handbook: Titanium Alloys (1994).
- E. K. Molchanova: Phase Diagrams of Titanium Alloys (1965).
- J. E. Dayhoff: Neural Network Architectures: An Introduction (1990).
- Lippmann RP, An Introduction to neural networks, IEEE ASSP Magazine, 4, 4 (1987)
- Reddy NS, Krishnaiah J, Hong SG, Lee JS, Mater. Sci. Eng. A, 508, 93 (2009)
- Reddy NS, Lee CS, Kim JH, Semiatin SL, Mater. Sci. Eng. A, 434, 218 (2006)
- Hamby DM, Environ. Monit. Assess., 32, 135 (1994)
- Montano JJ, Palmer A, Neural Comput. Appl., 12, 119 (2003)
- Coupe VMH, Van Der Gaag LC, Habbema JDF, Knowledge Engineering Review, 15, 215 (2000)
- Olden JD, Jackson DA, Ecol. Modeling, 154, 135 (2002)
- Zhan CS, Song XM, Xia J, Tong C, Environ. Modeling and Software, 41, 39 (2013)
- Reddy NS, Prasada RAO AK, Krishnaiah J, Chakraborty M, Murty BS, J. Mater. Eng. Perform., 22, 696 (2013)
- S. K. Koduri, Ph.D. Thesis, pp. 49-50, The Ohio State University, U.S.A (2010)
- G. Lutjering, J. C. Williams and A. Gysler, World Scientific, Singapore, 1998, from http://www.asianscientist. com/books/wp-content/uploads/2013/05/4311_chap01.pdf.