A simple Analytical model for solidification cooling rate based on the local heat flux density
[1] Z. Ma, E. Samuel, A.M.A. Mohamed, A.M. Samuel, F.H. Samuel and H.W. Doty: Mater. Des., 31 (2010), 902.
[2] Z. Li, H. Zhong, Q. Sun, Z. Xu and Q. Zhai: Mater. Sci. Eng., A 506 (2009), 191.
[3] M. Rajabi, M. Vahidi, A. Simchi and P. Davami: Mater. Charact., 60 (2009), 1370.
[4] Z. Tang and W. Stumpf: Mater. Sci. Eng. A., 490 (2008), 391.
[5] R.J. Zhang, Z. He, Y. Wang and W.Q. Jie: J. Mater. Sci., 39 (2004), 6379.
[6] D. G. Eskin and L.K. Suyitno: Prog. Mater. Sci., 49 (2004), 629.
[7] M. Rappaz and W.J. Boettinger; Acta Mater., 47 (1999), 3205.
[8] K.H. Kim, H.N. Han, T.J. Yeo, Y.G. Lee, K.H. Oh and D.N. Lee: in Melt Spinning, Strip Casting and Slab Casting, TMS Annual meeting, Anaheim California, Feb. 4–8 (1996), 87.
[9] H. D. Brody and M. C. Flemings: Trans. Metall. Soc. AIME, 236 (1966), 615.
[10] A. Yazdipour, A. Shafiei M and K. Dehghani: Mater. Sci. Eng., A. 27 (2009), 192.
[11] F. Qiu, P. Shen, T. Liu, D. Zhang and Q. Jiang: J. Alloys Compd., 477 (2009), 840.
[12] S. Bontha, N. W. Klingbeil, P. A. Kobryn and H. L. Fraser: J. Mater. Process. Technol., 178 (2006), 135.
[13] F. Sá, O. L. Rocha, C. A. Siqueira and A. Garcia: Mater. Sci. Eng., A. 373 (2004), 131.
[14] C.A, Muojekwu, I.V. Samarasekera and J.K. Brimacombe: Metall. Mater. Trans., B 26 (1995), 361.
[15] H.S. Kim, Y. Kobayashi, S. Tsukamoto and K. Nagai: Mater. Sci. Eng., A 403 (2005), 311.
[16] M.F. Zhu, C.P. Hong, D.M. Stefanescu and Y.A. Chang: Metall. Mater. Trans. B, 38 (2007), 517.
[17] G. A. Santos, C. M. Neto, W. R. Oso´rio and A. Garcia: Mater. Des., 28 (2007), 2425.
[18] W. R. Oso´rio and A. Garcia: Mater. Sci. Eng., A 325 (2002), 103.
[19] O. L. Rocha, C. A. Siqueira and A. Garcia: Mater. Sci. Eng., A 361 (2003), 111.
[20] T. Emi and H. Fredriksson: Mater. Sci. Eng., A 413-414 (2005), 2.
[21] M. Alizadeh, A. Jenabali Jahromi and O. Abouali: Comput. Mater. Sci., 44 (2008), 807.
[22] T.A. Blase, Z.X. Guo, Z. Shi, K. Long and W.G. Hopkins: Mater. Sci. Eng., A 365 (2004), 318.
International Journal of ISSI, Vol.7 (2010), No.2
[23] C.A.Santos, J.A.Spim, M.C.F.Ierardi and A. Garcia: Appl. Math. Model., 26 (2002), 1077.
[24] S. Louhenkilpi, J. Miettinen and L. Holappa: ISIJ Int., 46 (2006), 914.
[25] S. Qiu, H. Liu, S. Peng and Y. Gan: ISIJ Int., 44 (2004), 1376.
[26] H. Wang, G. Li, Y. Lei, Y. Zhao, Q. Dai and J. Wang: ISIJ Int., 45 (2005), 1291.
[27] R. A. Hardin, K. Liu, A. Kapoor and C. Beckermann: Metall. Mater. Trans., B 34 (2003), 297.
[28] G.H. Geiger and D.R. Poirier: Transport phenomena in metallurgy, Addison-Wesley, United States of America, (1973).
[29] Y. Meng and B.G. Thomas: Metall. Mater. Trans., B 34 (2003), 707.
[30] W. Kurz and D. J Fisher: Fundamentals of Solidification, Trans Tech, Switzerland, (1986).
[31] A.M. Mullis: J. Mater. Sci., 38 (2003), 2517.
[32] C.A. Santos, J.A. Spim and A. Garcia: Eng. Appl. Artif. Intell., 16 (2003), 511.
[2] Z. Li, H. Zhong, Q. Sun, Z. Xu and Q. Zhai: Mater. Sci. Eng., A 506 (2009), 191.
[3] M. Rajabi, M. Vahidi, A. Simchi and P. Davami: Mater. Charact., 60 (2009), 1370.
[4] Z. Tang and W. Stumpf: Mater. Sci. Eng. A., 490 (2008), 391.
[5] R.J. Zhang, Z. He, Y. Wang and W.Q. Jie: J. Mater. Sci., 39 (2004), 6379.
[6] D. G. Eskin and L.K. Suyitno: Prog. Mater. Sci., 49 (2004), 629.
[7] M. Rappaz and W.J. Boettinger; Acta Mater., 47 (1999), 3205.
[8] K.H. Kim, H.N. Han, T.J. Yeo, Y.G. Lee, K.H. Oh and D.N. Lee: in Melt Spinning, Strip Casting and Slab Casting, TMS Annual meeting, Anaheim California, Feb. 4–8 (1996), 87.
[9] H. D. Brody and M. C. Flemings: Trans. Metall. Soc. AIME, 236 (1966), 615.
[10] A. Yazdipour, A. Shafiei M and K. Dehghani: Mater. Sci. Eng., A. 27 (2009), 192.
[11] F. Qiu, P. Shen, T. Liu, D. Zhang and Q. Jiang: J. Alloys Compd., 477 (2009), 840.
[12] S. Bontha, N. W. Klingbeil, P. A. Kobryn and H. L. Fraser: J. Mater. Process. Technol., 178 (2006), 135.
[13] F. Sá, O. L. Rocha, C. A. Siqueira and A. Garcia: Mater. Sci. Eng., A. 373 (2004), 131.
[14] C.A, Muojekwu, I.V. Samarasekera and J.K. Brimacombe: Metall. Mater. Trans., B 26 (1995), 361.
[15] H.S. Kim, Y. Kobayashi, S. Tsukamoto and K. Nagai: Mater. Sci. Eng., A 403 (2005), 311.
[16] M.F. Zhu, C.P. Hong, D.M. Stefanescu and Y.A. Chang: Metall. Mater. Trans. B, 38 (2007), 517.
[17] G. A. Santos, C. M. Neto, W. R. Oso´rio and A. Garcia: Mater. Des., 28 (2007), 2425.
[18] W. R. Oso´rio and A. Garcia: Mater. Sci. Eng., A 325 (2002), 103.
[19] O. L. Rocha, C. A. Siqueira and A. Garcia: Mater. Sci. Eng., A 361 (2003), 111.
[20] T. Emi and H. Fredriksson: Mater. Sci. Eng., A 413-414 (2005), 2.
[21] M. Alizadeh, A. Jenabali Jahromi and O. Abouali: Comput. Mater. Sci., 44 (2008), 807.
[22] T.A. Blase, Z.X. Guo, Z. Shi, K. Long and W.G. Hopkins: Mater. Sci. Eng., A 365 (2004), 318.
International Journal of ISSI, Vol.7 (2010), No.2
[23] C.A.Santos, J.A.Spim, M.C.F.Ierardi and A. Garcia: Appl. Math. Model., 26 (2002), 1077.
[24] S. Louhenkilpi, J. Miettinen and L. Holappa: ISIJ Int., 46 (2006), 914.
[25] S. Qiu, H. Liu, S. Peng and Y. Gan: ISIJ Int., 44 (2004), 1376.
[26] H. Wang, G. Li, Y. Lei, Y. Zhao, Q. Dai and J. Wang: ISIJ Int., 45 (2005), 1291.
[27] R. A. Hardin, K. Liu, A. Kapoor and C. Beckermann: Metall. Mater. Trans., B 34 (2003), 297.
[28] G.H. Geiger and D.R. Poirier: Transport phenomena in metallurgy, Addison-Wesley, United States of America, (1973).
[29] Y. Meng and B.G. Thomas: Metall. Mater. Trans., B 34 (2003), 707.
[30] W. Kurz and D. J Fisher: Fundamentals of Solidification, Trans Tech, Switzerland, (1986).
[31] A.M. Mullis: J. Mater. Sci., 38 (2003), 2517.
[32] C.A. Santos, J.A. Spim and A. Garcia: Eng. Appl. Artif. Intell., 16 (2003), 511.
)