Mathematical Modeling and Experimental Investigations of Isothermal Solidification during Transient Liquid Phase Bonding of Nickel Superalloys


Article Preview

Mathematical model, based on Fick’s second law of diffusion, was used to predict the time required to complete isothermal solidification and to determine the effect of process variables during the transient liquid phase bonding of Inconel 625 and 718 superalloys with nickel based brazing filler alloy BNi-2. Experimental investigations were carried out in the range of 1325 – 1394K to verify the model and the predicted times were in excellent agreement with the experimentally determined values. The obtained activation energies for diffusion of boron were very close to the ones reported for other nickel base polycrystalline superalloys; however, it was observed that the time required for complete isothermal solidification are significantly less than that of other nickel based superalloys with different nickel based brazing filler alloys. Because of this advantage, these combinations of base and filler alloys are expected to replace other currently used ones. Further, significant reduction of holding time was observed with increasing brazing temperature and with decreasing joint gap. The composition of the joints at the end of holding period, when the holding time was not sufficient to complete isothermal soldification, has been determined in order to predict the amount of brittle eutectic phases in the final joint microstructures.



Advanced Materials Research (Volumes 15-17)

Edited by:

T. Chandra, K. Tsuzaki, M. Militzer and C. Ravindran




M. A. Arafin et al., "Mathematical Modeling and Experimental Investigations of Isothermal Solidification during Transient Liquid Phase Bonding of Nickel Superalloys", Advanced Materials Research, Vols. 15-17, pp. 882-887, 2007

Online since:

February 2006




[1] W. Chen, M. C. Chaturvedi and N. L. Richards: Metall. Trans. A, Vol. 32A (2001), pp.931-939.

[2] S. K. Tung, L. C. Lim and M. O. Lai: Scripta Mater. Vol. 34 (1996), pp.763-9.

[3] I. Tuah-Poku, M. Dollar and T. B. Massalski: Metall. Trans. A, Vol. 19A (1988), pp.675-86.

[4] C. H. Lee, T. H. North and H. Nakagawa: 71 st American Welding Society Convention, Anaheim, CA, 1990, pp.243-246.

[5] A. Sakamoto, C. Fujiwara, T. Hattori and S. Sakai: Weld. J., Vol. 68 (1989), pp.63-71.

[6] J. E. Ramirez and S. Liu: Weld. Res., Oct. (1992), pp.365-75.

[7] O. A. Ojo, N. L. Richards and M. C. Chaturvedi: Sci. Technol. Weld. Joining, Vol. 9 (2004), pp.532-540.

[8] W. F. Gale and E. R. Wallach: Metall. Trans. A, Vol. 22A (1991), pp.2451-7.

[9] K. Ohsasa, T. Shinmura and T. Narita : J. Phase Equil., Vol. 20 (1999), 199-206.

[10] J. Crank: The Mathematics of Diffusion, (Oxford University Press, UK 1975). (a) (b).