采用场变量模型来模拟材料微观结构的演变过程取得了非常大的进展,已成为描述材料微观结构演化的非常成功的模型之一.通过定义一系列高阶可微的保守场和非保守场变量来表述微观组织的空间分布,采用计算机模拟来描述这些场变量的变化路径,从而很好地预测及控制微观组织演化过程.本文详细介绍了场变量模型的基本原理及其在材料科学与工程各领域应用的最新进展.
参考文献
| [1] | Waals J D .[J].Zeitschrift für Physikalische Chemie,1894,13:657. |
| [2] | Cahn J W;Hilliard J E .[J].Journal of Chemical Physics,1958,28:258. |
| [3] | Cahn J W .[J].Acta Materialia,1961,9:795. |
| [4] | Allen S M;Cahn J W .[J].Journal of Physics,1977,38:51. |
| [5] | Langer J S;Grinstein G;Mazenko G.Models of Pattern Formation in First Order Phase Transitions[J].Directions in Condensed Matter Physics,1986:165. |
| [6] | Ode M;Kim S G;Suzuki T .[J].ISIJ International,2001,41:1076. |
| [7] | Chen L Q;Wang Y Z .[J].Journal of The Minerals,Metals & Materials Society,1996,48:13. |
| [8] | Khachaturyan A G.Theory of Structural Transformations in Solids[M].New York:John Wiley and Sons,Inc,1983 |
| [9] | Gunton J D;Miguel M S;Sahni P S.Phase Transitions and Critical Phenomena Vol 8[M].New York:Academic Press,1983 |
| [10] | Wang Y;Banerjee D;Khachaturyan A G .[J].Acta Materialia,1998,46(09):2983. |
| [11] | Collins J B;Levine H .[J].Physical Review B,1985,31:6119. |
| [12] | Wheeler A A;Boettinger W J;McFadden G B .[J].Physical Review A,1992,45:7424. |
| [13] | Warren J A;Boettinger W J .[J].Acta Metallurgica Et Materialia,1995,43:689. |
| [14] | Bi ZQ.;Sekerka RF. .Phase-field model of solidification of a binary alloy[J].Physica. A, Theoretical and Statistical Physics,1998(1/2):95-106. |
| [15] | Galenko P. .Phase-field model with relaxation of the diffusion flux in nonequilibrium solidification of a binary system[J].Physics Letters, A,2001(3/4):190-197. |
| [16] | Bottger B;Grafe U;Ma D .[J].Materials Science and Technology,2000,16:1425. |
| [17] | Cha P R;Yeon D H;Yoon J K 等.[J].Acta Materialia,2001,49:3295. |
| [18] | Grafe U;Bottger B;Tiaden J;Fries S G .[J].Scripta Materialia,2000,42:1179. |
| [19] | Grafe U.;Tiaden J.;Fries SG.;Bottger B. .Simulations of the initial transient during directional solidification of multicomponent alloys using the phase field method[J].Modelling and simulation in materials science and engineering,2000(6):871-879. |
| [20] | Loginova I;Amberg G;Agren J .[J].Acta Materialia,2001,49:573. |
| [21] | Onuki A J .[J].Journal of the physical society of Japan,1989,58:3065-3068. |
| [22] | Nishimori H;Onuki A .[J].Physical Review B,1990,42:980. |
| [23] | Sagui C;Orlikowski D;Somoza A 等.[J].Physical Review E,1998,58:569. |
| [24] | Wang Y;Chen L Q;Khachaturyan A G .[J].ACTA METALLURGICA ET MATERIALIA,1993,41:279. |
| [25] | Poduri R;Chen L Q .[J].Acta Materialia,1996,45:245. |
| [26] | Poduri R;Chen L Q .[J].Acta Materialia,1998,46:3915. |
| [27] | 李晓玲,刘兵,陈铮,刘晓光.Al3Li（δ′相）形核机制的计算机模拟研究[J].稀有金属材料与工程,2002(02):110-114. |
| [28] | Ustinovshikov Y;Koretsky V .[J].Computational Materials Science,1998,11:74. |
| [29] | Ustinovshikov Y;Koretsky V .[J].COMPUTATIONAL MATERIALS SCIENCE,2001,21:185. |
| [30] | Wang Y;Khachaturyan A G .[J].Acta Materialia,1997,45:759. |
| [31] | Jin Y M;Artejmev A;Khachaturyan A G 等.[J].Acta Materialia,2001,49:2309. |
| [32] | Artemev A;Jin Y;Khachaturyan A G .[J].Acta Materialia,2001,49:1165. |
| [33] | Semenovskaya S.;Khachaturyan AG. .Development of ferroelectric mixed states in a random field of static defects[J].Journal of Applied Physics,1998(10):5125-5136. |
| [34] | Li D Y;Chen L Q .[J].Acta Materialia,1998,46:639. |
| [35] | Li D Y;Chen L Q .[J].Acta Materialia,1998,46:2573. |
| [36] | Artemev A;Wang Y;Khachaturyan A G .[J].Acta Materialia,2000,48:2503. |
| [37] | Wang Y .[J].Acta Materialia,1998,46:2983. |
| [38] | Ubin G;Khachaturyan A G .[J].Acta Materialia,1999,47:1995. |
| [39] | 冯端.Physical Metallurgy vol.2 Phase Transformation[M].北京:科学出版社,1998 |
| [40] | Eto T;Sato A;Agrawal S P 等.[J].Acta Materialia,1978,36:499. |
| [41] | Chen L Q;Yang W .[J].Physical Review B,1994,50:15752. |
| [42] | Kazaryan A;Wang Y;Dregia S A 等.[J].Physical Review B,2000,61:14275. |
| [43] | Kazaryan A;Wang Y;Dregia S A 等.[J].Physical Review B,2001,63:184102. |
| [44] | Kazaryan A;Wang Y;Dregia S A 等.[J].Acta Materialia,2002,50:499. |
| [45] | Kazaryan A;Wang Y;Dregia S A 等.[J].PHYSICAL REVIEW B,2002,50:2491. |
| [46] | Mullins W W .[J].Journal of Applied Physics,1956,27:900. |
| [47] | Li Y L;Hu S Y;Liu Z K;Chen L Q .[J].Applied Physics Letters,2001,78:3878. |
| [48] | Leo P H;Johnson W C .[J].Acta Materialia,2001,49:1771. |
| [49] | Lu W;Suo Z .[J].Journal of the Mechanics and Physics of Solids,2001,49:1937. |
| [50] | Aranson IS.;Vinokur VM.;Kalatsky VA. .Continuum field description of crack propagation[J].Physical review letters,2000(1):118-121. |
| [51] | Karma A;Kessler D A;Levine H 等.[J].Physical Review Letters,2001,87:045501. |
| [52] | Kassner K;Misbah C;Muller J 等.[J].Journal of Crystal Growth,2001,25:289. |
| [53] | Kassner K;Misbah C;Muller J 等.[J].Physical Review E,2001,63:036117. |
| [54] | Leonard F.;Desai RC. .Spinodal decomposition and dislocation lines in thin films and bulk materials[J].Physical Review.B.Condensed Matter,1998(13):8277-8288. |
| [55] | Wang Y U;Jin Y M;Cuitino A M;Khachaturyan A G .[J].Applied Physics Letters,2001,78:2324. |
| [56] | Wu K;Morral J E;Wang Y 等.[J].Acta Materialia,2001,49:340. |
上一张
下一张
上一张
下一张
计量
- 下载量()
- 访问量()
文章评分
- 您的评分：
-
10%
-
20%
-
30%
-
40%
-
50%