INORGANIC MATERIALS AND CERAMIC MATRIX COMPOSITES |
|
|
|
|
|
Research Progress on Tilted Eutectic Growth Based on Phase Field Simulation |
LUO Lei, LI Xiangming, WEI Cen, WANG Xian
|
School of Materials Science and Engineering, Kunming University of Science and Technology, Kunming 650093, China |
|
|
Abstract Eutectic alloys are the most widely used type of alloys in industry. Their microstructure is characterized by the simultaneous growth of two-phase or multi-phase solids from liquids. Its eutectic structure exists in the solid-liquid phase transition of many important structural and functional materials. And tilted eutectic is eutectic microstructure formed under the influence of many factors at a certain angle to the heat flow direction. Researchers began to explore the mechanism of tilted eutectic growth and the interface stability of eutectic growth. Tilted eutectic structure is beneficial to improve the material properties of eutectic structure, and has a guiding significance for solving many problems related to eutectic structure. It is believed that the surface tension with anisotropy has an effect on the production of tilted eutectic. Due to the order parameters continuous change of the solid-liquid interface in the phase field method, the problem of difficult tracking of solid-liquid interface during solidification is eliminated. The phase field simulation method is used to study the mechanism of tilted eutectic formation. The phase field simulation method was used to study the tilted eutectic growth mechanism, mainly by changing the process parameters and phase field parameters to observe the variation of the tilted eutecticmiscrostructure. For example, anisotropic have certain influence on the morphological evolution of tlited eutectic, and other parameters such as temperature gradient, solidification rate, convection condition, interfacial energy ratio and initial lamellar spacing have an important influence on the morphological evolution of tilted eutectic. By simulating the growth of tilted eutectic in solidification process with phase field method, the optimal physical parameters and phase field parameters corresponding to each material can be obtained, which is a new step not only in theory but also in industry. After decades of development, the phase field method has evolved from single-phase to multi-phase, from qualitative research to quantitative research, from two-dimensional phase simulation to three-dimensional phase field simulation. The phase field method simulation is getting more and more perfect. The simulation results of the microstructure change during solidification are getting much closer to the actual situation. In this paper, the effects of physical parameters and phase field parameters on the evolution of tilted eutectic microstructure in different dimensions are studied from the perspective of two-dimensional phase field simulation and three-dimensional phase field simulation. In the field of two-dimensional phase simulation, the scholars have made a series of breakthroughs, which prove that the anisotropy and convection have certain influence on the tilted eutectic. The initial lamellar spacing will change the eutectic growth mode. Temperature gradient, interface energy, solidification rate and diffusion coefficient also have a certain influence on the eutectic tilt angle. In the field of three-dimensional phase simulation, some achievements have also been made. The relationship between lamellar spacing and undercooling under different growth rates and elastic effects, anisotropy and temperature gradient on the changes of tilted eutectic microstructure, as well as the changes of diffusion coefficient and interface energy on the solid-liquid interface were have been studied. At the same time, there are still some problems in current research field, and the future research work is expected.
|
Published: 13 May 2020
|
|
Fund:This work supported by National Natural Science Foundation of China (51961018,51561016). |
About author:: Lei Luo received his B.S. degree in Material forming and control engineering from Zhongyuan University of Technology in 2017. He is currently pursuing his Master's degree at the School of Materials Science and Engineering, Kunming University of Science and Technology under the supervision of Professor. Xiangming Li. His research has focused on mechanism of tilt eutectic growth. Xiangming Li received his Ph.D. degree in Material processing engineering from University of Science and Technology Beijing, in 2011. He is currently a professor in Kunming University of Science and Technology, in 2019. His research interests are smelting and forming of nonferrous metals, simulation of hot working process and preparation of porous metal materials. |
|
|
1 Vernede S, Dantzig J, Rappz M.Acta Materialia, 2009, 57(3), 1554. 2 Jackson K A, Hunt J D.Dynamics of Curved Fronts, 1988, 236(8), 363. 3 Akamatsu S, Plapp M.Materials Science, 2016, 20(1), 46. 4 Akamatsu S, Faivre G, Plapp M, et al. Materials Transactions A, 2004, 35(6), 1815. 5 Mccathy C, Cooper R F, Kirby S H, et al. American Mineralogist, 2007, 92(10), 1550. 6 Quenisset J M, Naslain R.Journal of Crystal Growth, 1981, 54(3), 465. 7 Perrut M, Parisi A, Akamatsu S, et al. Acta Materialia, 2010, 58(5), 1761. 8 Ludwig A, Leibbrandt S.Materials Science Engineering A, 2004, 375(1), 540. 9 Friak M, Hickel T, Grabowski B, et al. European Physical Journal Plus, 2011, 126(10), 1. 10 Kurz W.Metallurgical Transactions A, 1991, 22(12), 3051. 11 Trivedi R, Lipton J, Kurz W.Acta Metallurgica, 1987, 35(4), 965. 12 Magnin P, Trivedi R.Acta Metallurgica, 1991, 39(4), 453. 13 Leonhardt M, Loser W, Lindenkreuz H G.Materials Science Engineering A,1999, 271(1), 31. 14 Mcdonald S D, Nogita K, Dahle A K.Acta Materialia, 2004, 52(14), 4273. 15 Leonhardt M, Loser W, Arnold B, et al. Journal of Materials Science Letters, 1997, 16(16), 1366. 16 Ginzburg V L, Landau L D.On Superconductivity and Superfluidity, Springer Berlin Heidelberg, Germany, 2009. 17 Strang G, Fix G J, Griffin D S.Mathematics of Computation, 1974, 41(1), 115. 18 Caginalp G. Archive for Rational Mechanics and Analysis, 1986, 92(3), 205. 19 Wheeler A A, Boettinger W J, Mcfadden G B.Physical Review A, 1992, 45(10), 7424. 20 Kobayashi R.Physica D, 1993, 63(3), 410. 21 Warren J A, Boettinger W J.Acta Metallurgica, 1995, 43(2), 689. 22 Steinbach I, Pezzolla F, Nestler B, et al. Physica D, 1996, 94(3), 135. 23 Nestler B, Wheeler A A.Physical D, 2000, 138(1), 114. 24 Apel M, Boettinger B, Diepers H J, et al. Journal of Crystal Growth, 2002, 237(1), 154. 25 Karma A.Physical Review E, 1994, 49(3), 2245. 26 Plapp M, Karma A.Physical Review E, 2002, 66(1), 061608. 27 Lewis D, Warren J, Boettinger W, et al. JOM, 2004, 56(4), 34. 28 Zhu Y C, Yang G C, Wang J C, et al. Chinese Journal of Nonferrous Metals, 2005, 35(18), 4888. 29 Green J R, Jimack P K, Mullis A M.Metallurgical Materials Transactions A, 2007, 38(7), 1426. 30 Kundin J, Kumar R, Schlieter A.Computational Materials Science, 2012, 63, 319. 31 Akamatsu S, Bottin R S, Serefoglu M, et al. Acta Materialia, 2012, 60(6), 3206. 32 Xu X H, Chen M W. Surface Review Letters, 2018, DOI: 10.1142/S0218625X18502165. 33 Ghosh S, Choudury A, Plapp M, et al. Physical Review E, 2015, 91(2), 022407. 34 Ghosh S, Plapp M. Transactions of the Indian Institute of Metals, 2015, 68(6), 1235. 35 Lahiri A, Choudhury A.Transactions of the Indian Institute of Metals, 2015, 68(6), 1053. 36 Hoffman D W, Cahn J W.Surface Science, 1972, 31, 368. 37 Steinbach I, Pezzolla F, Nestler B, et al. Physica D, 1996, 94(3), 135. 38 Hotzer J, Steinmetz P, Jainta M, et al. Acta Materialia, 2016, 106(16), 249. 39 Hotzer J, Jainta M, Steinmetz P, et al. Acta Materialia, 2015, 93, 194. 40 Wheeler A A, McFadden G B, Boettinger W J.Proceedings of the Royal Society A, 1996, 452(1946), 495. 41 Kim S G, Kim W T, Suzuki T, et al. Journal of Crystal Growth, 2004, 261(1), 135. 42 Collins J B, Levine H.Physical Review B, 1985, 31(9), 6119. 43 Caginalp G.Physical Review A, 1989, 39(11), 5887. 44 Fife P C, Gill G S.Physics Review A, 1991, 43(2), 843. 45 Apel M, Boettger B, Diepers H J, et al. Journal of Crystal Growth, 2002, 237(1), 154. 46 Ode M, Sasajima N, Yamada Y, et al. International Journal of Thermophysics, 2011, 31(11), 2610. 47 Lahiri A, Tiwary C, Chattopadhyay K, et al. Computational Materials Science, 2017, 130, 109. 48 Ratkai L, Toth G I, Kornyei L, et al. Journal of Materials Science, 2017, 52(10), 5544. 49 Zhang A, Gou Z P, Xiong S M.China Foundry, 2017, 14(5), 373. 50 Zhang A, Guo Z, Xiong S M.Physics Review E, 2018, 97(5), 053302. 51 Jackson K A, Uhlmann D R, Hunt J D.Journal of Crystal Growth, 1967, 1(1), 1. 52 Siquieri R, Emmerich H.Philosophical Magazine, 2011, 91(1), 45. 53 Li X Z, Liu D M, Sun T, et al. Transactions of Nonferrous Metals Society of China, 2010, 20(2), 0. 54 Hotzer J, Steinmetz P, Jainta M, et al. Acta Materialia, 2016, 106(16), 249. 55 Noubary K D, Kellner M, Steinmetz P, et al. Computional Materials Science, 2017, 138, 403. 56 Steinmetz P, Kellner M, Hotzer J, et al. Metallurgical Materials Transactions B, 2017, 1. 57 Park Y M, Lee J S.Journal of Differential Equations, 1978, 27(2), 266. 58 Bazilevs Y, Hughes T J R.Computers Fluids, 2007, 36(1), 12. 59 Makov G, Payne M C.Physics Review B, 1995, 51(7), 4014. 60 Himemiya T, Umeda T.Materials Transactions, 1999, 40(7), 665. 61 Himemiya T.Materials Transactions, 2000, 41(3), 437. 62 Yang Y J, Yan B.Acta Metallurgica Sinica, 2010, 46(7), 781 (in Chinese). 杨玉娟, 严彪.金属学报, 2010, 46(7), 781. 63 Yan Y J, Yan B.Science in China, 2011, 54(5), 866. 64 Yan Y J, Yan B, Zhang Y X, er al.Acta Physica Sinica, 2009, 58(1), 650 (in Chinese). 杨玉娟, 王锦程, 张玉祥, 等.物理学报, 2009, 58(1), 650. 65 Perrut M, Akamatus S, Bottin R S, et al. Physical Review E, 2009, 79(1), 032602. 66 Perrut M, Parisi A, Akamatus S, et al. Acta Materialia, 2010, 58(5), 1761. 67 Zhang A, Guo Z, Xiong S M.Journal of Applied Physics, 2017, 121(12), 125101. 68 Ravash H, Vlegels J, Moelans N.Journal of Materials Science, 2017, 52(24), 13852. 69 Ebrahimi Z, Rezendeh J.International Journal of Modeling Simulation and Scientific Computing, 2013, 4(1), 1250024. |
|
|
|