Fe-Mn-Si-Cr-N形状记忆合金中fcc-hcp相变的细观力学
Mesomechanics of fcc-hcp Martensitic Transformation in Fe-Mn-Si-Cr-N Shape Memory Alloys
摘要:

本文利用Eshelby弹性夹杂理论，针对Fe-Mn-Si-Cr-N形状记忆合金中的马氏体单变体、多变体的弹性应变能以及平行马氏体之间的交互作用进行了理论计算，并比较了间隙原子N对相变细观力学的影响。计算结果表明：N合金化增加了马氏体的应变能，表明马氏体正相变的阻力增加；单变体的应变能远远大于相变的临界驱动力，同时比多变体的应变能大许多，所以热诱发马氏体相变中难以观察到单变体；多变体的应变能与层错切变几率(p)有密切关系，p减小，多变体的应变能降低；基于形状因子(x)的弹性应变能计算显示片状马氏体的应变能最小；而平行马氏体之间的交互作用能与间距相关，在间距增加的开始，这种交互作用减小得快，随后趋于缓和。

Abstract: Based on the Eshelby’s micro-elastic theory, we calculated the elastic strain energy of single variant and multi-variants as well as the interaction energy between two variants in Fe-Mn-Si based shape memory alloys. The influence of N on the mesomechanics of martensitic transformation was studied. The results of theoretical calculations show that N increases the strain energy of phase transition as the resistance term. The strain energy of single variant is much bigger than the critical driving force of fcc-hcp transiton and much more than that of multi-variants, which is the main reason that it is difficult to get the thermal-induced single variant in Fe-Mn-Si based alloys. The elastic strain energy of multi-variants is greatly dependent on the probability of shear (p) and decreases with decreasing p. The calculation related to the shape factor (x) reveals that the thin plate of martensite has a small strain energy compared with the other lens-like martensite. The interaction energy between two martensites reduces quickly with their distance at first and changes slowly when their distance exceeds some critical value.

文章引用：万见峰, 陈世朴. Fe-Mn-Si-Cr-N形状记忆合金中fcc-hcp相变的细观力学[J]. 应用物理, 2013, 3(2): 31-37. http://dx.doi.org/10.12677/APP.2013.32007

参考文献

[1] 徐祖耀. Fe-Mn-C及Fe-Ni-C合金马氏体相变热力学[J]. 金属学报, 1980, 16(4): 430-434.
[2] J.-H. Yang, C. M. Wayman. Intersect-ing-shear mechanisms for the formation of secondary ϵ martensite variants. Acta Metallurgica et Materialia, 1992, 40(8): 2025-2031.
[3] I. A. Yakubtsov, B. Ariapour and D. D. Perovic. Ef-fect of nitrogen on stacking fault energy of f.c.c. iron-based alloys. Acta Ma- terialia, 1999, 47(4): 1271.
[4] J.-C. Li, W. Zheng and Q. Jiang. Stacking fault energy of iron- base shape memory alloys. Mate-rials Letters, 1999, 38(4): 275- 277.
[5] P. J. Ferreira, P. Mullner. A thermodynamic model for the stacking-fault energy. Acta Materialia, 1999, 46(13): 4479-4484.
[6] J. D. Eshelby. The determination of the elastic field of an ellipsoidal inclusion, and related problems. Proceed-ings of the Royal Society, 1957, A241: 376-396.
[7] J. D. Eshelby. The elastic field outside an ellipsoidal inclusion. Proceedings of the Royal Society, 1959, A252: 561-569.
[8] J. D. Eshelby. Elastic inclu-sions and in homogeneities. Progress in Solid Mechanics, 1961, 2: 87-140.
[9] M. S. Wechsler, D. S. Lieberman and T. A. Read. On the theory of the formation of martensite. Transaction of American Insti-tute of Mining, Metallurgical, and Petroleum Engineers, 1953, 197: 1503-1515.
[10] J. S. Bowles, J. K. MacKenzie. The crystallography of martensite transformations, part I. Acta Metallurgica, 1954, 2(1): 129- 137.
[11] J. K. MacKenzie, J. S. Bowles. The crystallography of martensite transformations II. Acta Metallurgica, 1954, 2(1): 138-147.
[12] Z. H. Guo, Y. H. Rong, S. P. Chen and Z. Y. Xu (T. Y. Hsu). Crystallography of FCC(γ)→HCP(ϵ) martensitic transformation in Fe-Mn-Si based alloys. Scripta Materialia, 1999, 41(2): 153- 158.
[13] G. B. Olson and M. Cohen. A general mechanism of marten-sitic nucleation: Part I. General concepts and the FCC→HCP transfor-mation. Metallurgical Transactions A, 1976, 7(12): 1897- 1904.
[14] 万见峰. Fe-Mn-Si-Cr-N形状记忆合金的马氏体相变[D]. 上海交通大学, 2001.
[15] 徐祖耀. 马氏体相变与马氏体(第二版)[M]. 北京: 科学出版社, 1999: 430.
[16] D.-Z. Liu, T. Kikuchi, S. Kajiwara and N. Shinya. Atomic force microscopy study of stacking modes of mart-ensitic transformation in Fe-Mn-Si based shape memory alloys. Mate-rials Science Forum, 2000, 327-328: 255.

为你推荐