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Predictive Kinetics-based Model for Shock-activated Reaction Synthesis of Ti3SiC2

Published online by Cambridge University Press:  01 June 2005

Jennifer L. Jordan
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0245
John A. Pelesko
Affiliation:
Department of Mathematical Sciences, University of Delaware, Newark, Delaware 19716-2553
Naresh N. Thadhani*
Affiliation:
School of Materials Science and Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0245
*
b) Address all correspondence to this author. e-mail: [email protected]
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Abstract

A kinetics model based on mass and heat transport has been developed for Ti3SiC2 formation via shock-activated reaction synthesis of powder precursors. The model allows prediction of heat treatment conditions under which an otherwise steady-state reaction is taken over by a “run-away” combustion-type reaction during post-shock reaction synthesis of Ti3SiC2. Shock compression of Ti, SiC, and graphite precursors generates a densely packed highly activated state of reactants, which lowers the activation energy and results in an increased rate of formation of Ti3SiC2 at a lower temperature and in shorter times. The predictive model correlated with experimental results of fraction reacted as a function of time at heat-treatment temperatures of 1400 and 1600 °C illustrates an increased rate of reaction due to lowering activation energy, which also results in the reaction at 1600 °C being taken over by a “run-away” combustion-type reaction, as the rate of heat release due to reaction exceeds the rate of heat dissipation through the compact. Correlation of the model with experimental results illustrates that the predictive model can be used to optimize reaction synthesis conditions in shock-densified compacts of Ti3SiC2-forming powder precursors, to better understand the processes leading to a steady-state reaction being taken over by the combustion mode.

Type
Articles
Copyright
Copyright © Materials Research Society 2005

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References

REFERENCES

1Racault, C., Langlais, F. and Naslain, R.: Solid-state synthesis and characterization of the ternary phase Ti3SiC2 J. Mater. Sci. 29, 3384 (1994).CrossRefGoogle Scholar
2Lis, J., Pampuch, R., Piekarczyk, J. and Stobierski, L.: New ceramics based on Ti3SiC2 Ceram. Int. 19, 219 (1993).CrossRefGoogle Scholar
3Ratliff, J.L. and Powell, G.W.: Research on Diffusion in Multiphase Systems and Reaction Diffusion in Ti/SiC and Ti6Al4V/SiC systems, Report AFML-TR-70-42 (U.S. Department of Commerce, Springfield, VA, (1970).Google Scholar
4Barsoum, M.W. and El-Raghy, T.: Synthesis and characterization of a remarkable ceramic: Ti3SiC2 J. Am. Ceram. Soc. 79, 1953 (1966).CrossRefGoogle Scholar
5Thadhani, N.N.: Shock induced chemical reactions and synthesis of materials. Prog. Mater. Sci. 37, 117 (1993).CrossRefGoogle Scholar
6Lee, J.H. Synthesis of TiC by shock-assisted solid-state reaction synthesis. Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA (1997).Google Scholar
7Namjoshi, S. Reaction synthesis of dynamically-densified Ti-based intermetallic and ceramic forming powders. Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA (1999).Google Scholar
8Beauchamp, E.K. and Carr, M.J.: Kinetics of phase change in explosively shock-treated alumina. J. Am. Ceram. Soc. 73, 49 (1990).CrossRefGoogle Scholar
9Graham, R.A., Morosin, B., Horie, Y., Venturini, E.L., Bookugh, M. and Carr, M.J. Chemical synthesis under high pressure shock loading, in Shock Waves in Condensed Matter, edited by Gupta, Y.M. (Plenum Press, New York, NY 1984), p. 693.Google Scholar
10 Material Property Database: www.matweb.com, June 2002. Automation Creations Inc.Google Scholar
11Carslaw, H.S. and Jaeger, J.C.: Conduction of Heat in Solids (Oxford University Press: Oxford, U.K., 1959), p. 20.Google Scholar
12Jordan, J.L. and Thadhani, N.N.Reaction synthesis of shock-activated Ti-based ternary Ti3SiC2 and Ti2AlN ceramics, in Powder Materials: Current Research and Industrial Practices, edited by Marquis, F.D.S., Thadhani, N., and Barrera, E.V. (TMS, Warrendale, PA 2001), p. 101111.Google Scholar
13Bebernes, J. and Eberly, D.: Mathematical Problems in Combustion Theory (Springer Verlag, New York, 1989).CrossRefGoogle Scholar
14Pelesko, J.A. and Kriegsmann, G.A.: Microwave heating of ceramic composites. IMA 64, 39 (2000).Google Scholar
15Lacey, A.A.Thermal runaway in a non-local problem modeling Ohmic heating: I. Model derivation and some special cases. Eur. J. Appl. Math. 6, 127 (1995).CrossRefGoogle Scholar
16Jordan, J.L. Shock-activated reaction synthesis and high pressure response of Ti-based ternary carbide and nitride ceramics. Ph.D. Thesis, Georgia Institute of Technology, Atlanta, GA (2003).Google Scholar
17Vandersall, K.V. and Thadhani, N.N.: Investigation of “shock-induced” and “shock-assisted” chemical reactions in Mo+2Si powder mixtures. Metall. Mater. Trans. 34A, 15 (2003).CrossRefGoogle Scholar
18Kissinger, H.E.: Reaction kinetics in differential thermal analysis Anal. Chem. 29, 1702 (1957).CrossRefGoogle Scholar
19Boswell, P.G.: On the calculation of activation energies using a modified Kissinger method J. Therm. Anal. 18, 353 (1980).CrossRefGoogle Scholar