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The effect of temperature on the lattice constants of martensite and ferrite are studied by the synchrotron radiation technique. The results show that the lattice constants of martensite and ferrite increase gradually with the increase of temperature, but diffraction peaks of martensite show a peak splitting phenomenon, while the diffraction peaks of ferrite do not. From the fitting of the {110} and {200} diffraction peaks of martensite, it is found that the lattice constants a and c of martensite gradually increase with the temperature rising, but the increasing rate of lattice constant a is faster than that of c, that is, the squareness of martensite gradually decreases. When the temperature increases to 500 ℃, the squareness (c/a) of martensite is equal to 1. The variation of lattice constant of ferrite with temperature is basically the same as that of lattice constant a of martensite, but different from that of lattice constant c of martensite, showing the nature influence of temperature on the lattice constants of martensite. Besides, based on the analysis of synchrotron radiation data, the quantitative equations of lattice constants of martensite and ferrite varying with temperature are established.
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Keywords:
- temperature /
- martensite /
- ferrite /
- lattice constant
[1] Osmond M F 1895 Bull. Soc. Encour. Ind. Nat. 10 465
[2] 袁书强, 沈正祥, 周春华, 刘峰涛, 王芳, 杨晖, 陈炯 2014 物理学报 63 030702
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Xu Z Y 1980 Martensitic Transformation and Martensite (Beijing: Science Press) p88 (in Chinese)
[6] 张瑞林, 余瑞璜 1984 金属学报 20 279
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Liu X, Kang M K 2000 Transactions of Metal Heat Treatment 21 68
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Google Scholar
[14] Chentouf S, Cazottes S, Danoix F, Goune M, Zapolsky H, Maugis P 2017 Intermetallics 89 92
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图 1 同步辐射衍射试样尺寸图
Figure 1. Dimension of samples for synchrotron radiation diffraction.
图 2 不同温度下马氏体{110}和{200}晶面的衍射谱 (a) {110}晶面; (b) {200}晶面
Figure 2. Diffraction patterns of {110} and {200} crystal planes of martensite at different temperatures: (a) {110} crystal planes; (b) {200} crystal planes.
图 3 400 ℃时马氏体{110}和{200}晶面衍射峰分峰处理图 (a) {110}晶面; (b) {200}晶面
Figure 3. Splitting process of {110} and {200} diffraction peaks of martensite at 400 ℃: (a) {110} crystal planes; (b) {200} crystal planes.
图 4 不同温度下马氏体的晶格常数 (a) {110}晶面; (b) {200}晶面
Figure 4. Lattice constants of martensite at different temperatures: (a) {110} crystal planes; (b) {200} crystal planes.
图 5 400 ℃时淬火态和回火态钢{200}晶面的衍射谱
Figure 5. Diffraction patterns of (200) crystal plane in quenched and tempered steel at 400 ℃.
图 6 不同温度下回火态钢的衍射谱
Figure 6. Diffraction patterns of tempered steel at different temperatures
图 7 回火态钢中晶格常数随温度的变化 (a) aF-f(θ)外推曲线; (b) aA-f(θ)外推曲线; (c)不同温度下回火态钢的晶格常数
Figure 7. Variation of lattice constant in tempered steel with temperatures (a) aF-f(θ) extrapolation curve; (b) aA-f(θ) extrapolation curve; (c) lattice constants of tempered steel at different temperatures.
图 8 马氏体和铁素体晶格常数随温度的变化趋势
Figure 8. Variation of lattice parameters of martensite and ferrite with temperature.
表 1 不同温度下马氏体的晶格常数和正方度
Table 1. Lattice constant and squareness of martensite at different temperatures.
晶格常数 温度/℃ 25 200 400 500 600 650 700 {110} a1 2.8762 2.8877 2.8932 — — — — c1 2.8844 2.8942 2.8957 — — — — a3 — — — 2.8981 2.9023 2.9063 2.9071 c/a 1.0029 1.0023 1.0009 1 1 1 1 {200} a2 2.8791 2.8906 2.8933 — — — — c2 2.8924 2.8982 2.9002 — — — — a4 — — — 2.8984 2.9022 2.9056 2.9074 c/a 1.0046 1.0026 1.0024 1 1 1 1 
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表 2 不同温度下回火态钢的晶格常数
Table 2. Lattice constants of tempered steel at different temperatures.
晶格
常数温度/℃ 25 200 400 500 600 650 700 750 775 aF 3.8785 2.8942 2.8979 2.9018 2.9077 2.9106 — — — aA — — — — 3.6612 3.6640 3.6672 3.3701 3.6706
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[1] Osmond M F 1895 Bull. Soc. Encour. Ind. Nat. 10 465
[2] 袁书强, 沈正祥, 周春华, 刘峰涛, 王芳, 杨晖, 陈炯 2014 物理学报 63 030702
Google Scholar
Yuan S Q, Shen Z X, Zhou C H, Liu F T, Wang F, Yang H, Chen J 2014 Acta Phys. Sin. 63 030702
Google Scholar
[3] Oleg D S, Jeffrey W, Donald R L, Chol K S 2008 Mater. Trans. 49 2016
Google Scholar
[4] José R C G, Paulo R R 2018 J. Mater. Res. Technol. 7 499
Google Scholar
[5] 徐祖耀 1980 马氏体相变与马氏体 (北京: 科学出版社) 第88页
Xu Z Y 1980 Martensitic Transformation and Martensite (Beijing: Science Press) p88 (in Chinese)
[6] 张瑞林, 余瑞璜 1984 金属学报 20 279
Zhang R L, Yu R H 1984 Acta Metall. Sina. 20 279
[7] Lu Y, Yu H X, Richard D S J 2017 Mater. Sci. Eng. A 700 592
Google Scholar
[8] Tanaka T, Maruyama N, Nakamura N, Wilkinson A J 2020 Acta Mater. 195 728
Google Scholar
[9] Kurdjumov G, Kaminsky E 1928 Nature 122 475
Google Scholar
[10] Kurdjumov G 1976 Metall. Trans. A 7 999
Google Scholar
[11] Cheng L, Böttger A, Keijser T 1990 Scripta Mater. 24 509
Google Scholar
[12] 刘晓, 康沫狂 2000 金属热处理学报 21 68
Google Scholar
Liu X, Kang M K 2000 Transactions of Metal Heat Treatment 21 68
Google Scholar
[13] Becquart C S, Raulot J M, Bencteux G, Domain C, Perez M, Garruchet S, Nguyen H 2007 Comp. Mater. Sci. 40 119
Google Scholar
[14] Chentouf S, Cazottes S, Danoix F, Goune M, Zapolsky H, Maugis P 2017 Intermetallics 89 92
Google Scholar
[15] Chen P C, Winchell P G 1980 Metall. Trans. A 11 1333
[16] Rammo N N, Abdulah O G 2006 J. Alloy Compd. 420 117
Google Scholar
[17] Wang Y X, Tomota Y, Ohmura T, Morooka S, Gong W 2020 Acta Mater. 184 30
Google Scholar
[18] Arman M M, Imam N G, Portales R L, El-Dek S I 2020 J. Magn. Magn. Mater. 513 167097
Google Scholar
[19] Mo K, Miao Y B, Xu R Q, Yao T K, Lian J, Jamison L M, Yacout A M 2020 J. Nucl. Mater. 529 151943
Google Scholar
[20] Jacobsen S D, Hinrichs R, Baumvol I J R, Castellano G, Vasconcellos M A Z 2015 Surf. Coat Tech. 270 266
Google Scholar
[21] Ballot C, Lamesle P, Delagnes D 2013 Acta. Metall. Sin. 26 553
Google Scholar
[22] Luo Q S 2016 J. Mater. Eng. Perform. 25 2170
Google Scholar
[23] Chen Y L, Liu Q, Xiao W L, Ping D H, Wang Y Z, Zhao X Q 2018 Mater. Lett. 227 213
Google Scholar
[24] Bharambe S S, Trimukhe A, Bhatia P 2020 Mater. Today: Proceedings 23 373
Google Scholar
[25] Speich G R, Leslie W C 1972 Metall. Trans. 3 1043
Google Scholar
[26] Maruyama N, Tabata S 2021 Mater. Trans. A 52 2576
Google Scholar
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