|
|
|
| A SIMPLE VECTOR ANALYSIS METHOD FOR MARTENSITE CRYSTALLOGRAPHY |
| GU Xinfu, ZHANG Wenzheng |
| Laboratory of Advanced Materials, Department of Materials Science and Engineering, Tsinghua University, Beijing 100084 |
|
Cite this article:
GU Xinfu ZHANG Wenzheng. A SIMPLE VECTOR ANALYSIS METHOD FOR MARTENSITE CRYSTALLOGRAPHY. Acta Metall Sin, 2011, 47(2): 241-245.
|
|
|
Abstract The displacements of vectors in a habit plane (HP) are assumed to lie along a particular Burgers vector, so that the misfit in the interface can be fully accommodated by a set of dislocations with that Burgers vector. This assumption is consistent with many models and experimental observations. Based on this assumption, a simple method based on vector analysis has been developed. By applying this method to fcc/bcc system, the classical solutions from the phenomenal theory of martensite crystallography can be reproduced. In addition, a simple form of equation for general HP orientations satisfying the above assumption has also been derived. The present method provides a simple but general tool for analysis of irrational HP generated from either martensitic or diffusional transformations.
|
|
Received: 26 October 2010
|
|
|
| Fund: Supported by National Natural Science Foundation of China (No.50971076) |
| [1] Bowles J S, MacKenzie J K. Acta Metall, 1954; 2: 129[2] Mackenzie J K, Bowles J S. Acta Metall, 1954; 2: 138[3] Bowles J S, MacKenzie J K. Acta Metall, 1954; 2: 224[4] Wechsler M, Lieberman D, Read T. Trans AIME, 1953; 179: 1503[5] Wayman C M. Introduction to the Crystallography of Martensitic Transformations. New York: MacMillan, 1964: 111[6] Tsu T Y. Martensitic Transformation and Martensites. Beijing: Science Press, 1981: 376(徐祖耀. 马氏体相变与马氏体. 北京: 科学出版社, 1981: 376)[7] Nishiyama Z. Martensitic Transformation. New York: Academic Press, 1978: 337[8] Suzuki H. Sci Rep Res Inst Tohoku Univ, 1954; 6A: 30[9] Kajiwara S. Trans Jpn Inst Met, 1976; 17: 435[10] Kato H. Scr Mater, 1998; 38: 1125[11] Frank F C. Acta Metall, 1953; 1: 15[12] Bilby B A, Frank F C. Acta Metall, 1960; 8: 239[13] Pond R C, Celotto S, Hirth J P. Acta Mater, 2003; 51: 5385[14] Pond R C, Ma X, Chai Y W, Hirth J P. In: Nabarro F R N, Hirth J P, eds., Dislocations in Solids, Amsterdam: Elsevier, 2007: 225[15] Gu X F, Zhang W Z. Philos Mag, 2010; 90: 3281[16] Zhang W Z, Purdy G R. Philos Mag, 1993; 68: 291[17] Zhang W Z, Purdy G R. Acta Metall Mater, 1993; 41: 543[18] Ye F, Zhang W Z, Qiu D. Acta Mater, 2004; 52: 2449[19] Qiu D, Zhang W Z. Acta Mater, 2007; 55: 6754[20] Bhadeshia H K D H. Worked Examples in the Geometry of Crystals. London: Institute of Materials, 2001: 68[21] Zhang W Z. Philos Mag, 1998; 78: 913[22] Gu X F, Zhang W Z. Philos Mag, 2010; 90: 450 |
| No Suggested Reading articles found! |
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
Cited |
|
|
|
|
| |
Shared |
|
|
|
|
| |
Discussed |
|
|
|
|
