本文从相变出发,结合母相对称性建立相变与变体位向差之间的定量联系,详细介绍了如何计算相变矩阵和以之为基础的变体间位向差,并以fcc→bcc相变系统为例,运用相变矩阵和对称操作矩阵计算了N-W位向关系下变体间位向差,结果与前人从位向关系出发计算结果一致.本文方法有助于理解位向差的成因,特别有助于开展对无理位向关系引起的变体间位向差的分析.文中还进一步运用点群理论讨论了立方系N-W,K-S,Bain位向关系下独立存在的变体数目,并且推导了相变矩阵与位向关系矩阵之间的转换关系.
参考文献
| [1] | Furuhara T,Maki T.Mater Sci Eng,2001; A312:145 |
| [2] | Gey N,Humbert M,Gautier E,Bechade J L.J Nucl Mater,2004; 328:137 |
| [3] | Glavicic M G,Kobryn P A,Semiatin S L.Mater Sci Eng,2004; A385:372 |
| [4] | Stanford N,Bate P S.Acta Mater,2004; 52:5215 |
| [5] | Gourgues A F,Flower H M,Lindley T C.Mater Sci Technol,2000; 16:26 |
| [6] | Guo Z,Morris Jr J W.Set Mater,2005; 53:933 |
| [7] | Morito S,Huang X,Furuhara T,Maki T,Hansen N.Acta Mater,2006; 54:5323 |
| [8] | Kitahara H,Ueji R,Tsuji N,Minamino Y.Acta Mater,2006; 54:1279 |
| [9] | Kitahara H,Ueji R,Ueda M.Mater Charact,2005; 54:378 |
| [10] | Humbert M,Wagner F,Moustahfid H,Esling C.J Appl Crystallogr,1995; 28:571 |
| [11] | Gey N,Humbert M.J Mater Sci,2003; 38:1289 |
| [12] | Glavicic M G,Kobryn P A,Bieler T R,Semiatin S L.Mater Sci Eng,2003; A346:50 |
| [13] | Glavicic M G,Kobryn P A,Bieler T R,Semiatin S L.Mater Sci Eng,2003; A351:258 |
| [14] | Karthikeyan T,Saroja S,Vijayalakshmi M.Scr Mater,2006; 55:771 |
| [15] | Cayron C,Artaud B,Briottet L.Mater Charact,2006; 57:386 |
| [16] | Cayron C.Acta Crystallogr Sect,2006; 62A:21 |
| [17] | Morito S,Tanaka H,Furuhara T,Maki T.In:Sakata T eds,The Fourth International Conference on Recrystallization and Related Phenomena,Japan:The Japan Institute of Metals,1999:295 |
| [18] | Morito S,Tanaka H,Konishi R,Furuhaxa T,Maki T.Acta Mater,2003; 51:1789 |
| [19] | Zhang W Z,Purdy G R.Acta Metall,1993; 41:543 |
| [20] | Ye F,Zhang W Z,Qiu D.Acta Mater,2004; 52:2449 |
| [21] | Qiu D,Zhang W Z.In:Johnson W C,Howe J M eds,Proceeding of an International Conference on Solid-Solid Phase Transformations in Inorganic Materials,Phenix:Warrendale,2005:123 |
| [22] | Wayman C M.Introduction to the Crystallography of Martensitic Transformations.New York:Macmillan,1964:134 |
| [23] | Nolze G.Cryst Res Technol,2008; 43:61 |
| [24] | Bowles J S,Mackenzie J K.Aeta MetaU,1954; 2:129 |
| [25] | Wechsler M S,Lieberman D S,Read T A.Trans AIME,1953; 197:1503 |
| [26] | Bollmann W.Crystal Defects and Crystalline Interfaces.Berlin:Springer,1970:254 |
| [27] | Zhang W Z,Purdy C R.Philos Mag,1993; 68A:279 |
| [28] | Zhang W Z,Weatherly G C.Prog Mater Sci,2005; 50:181 |
| [29] | Qiu D,Zhang W Z.Philos Mag,2003; 83A:3093 |
| [30] | Wu J,Zhang W Z,Gu X F.Acta Mater,2009; 57:635 |
| [31] | Zhang W Z,Purdy G It.Philos Mag,1993; 68A:291 |
| [32] | Bollmann W.Crystal Lattices,Interfaces,Matrices.Geneva:Bollmann,1982:360 |
| [33] | Christian J W.The Theory of Transformation in Metals and Alloys.3rd Ed.,Oxford:Pergamon Press,2002:586 |
| [34] | Altmann S L,Bradley C J.Philos Trans R Soc,1963;255A:199 |
| [35] | Frank F C.Metall Mater Trans,1988; 19A:403 |
| [36] | Bradley C J,Cracknell A P.The Mathematical Theory of Symmetry in Solids.Oxford:Clarendon Press,1972:37 |
| [37] | Cahn J W,Kalonji G M.In:Aaronson H I eds,Proceedings of an International Conference on Solid-Solid Phase Transformations,Pittsburgh:AIME Press,1982:3 |
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%