金属学报  2006, Vol. 42 Issue (3): 265-272

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描述钢淬透性的一个新数学模型

金满;连建设; 江中浩

吉林大学材料学院

A NEW MATHEMATICAL MODEL FOR HARDENABILITY OF STEELS

金满; 连建设; 江中浩 . 描述钢淬透性的一个新数学模型[J]. 金属学报, 2006, 42(3): 265-272 .

摘要 参考文献 相关文章 Metrics 全文: PDF(198 KB)   摘要: 本文提出了新的淬透性数学模型及钢的淬透性表征参数。根据端淬试验数据和试验曲线导数变化规律，用线性试探法建立了端淬曲线微分方程，然后解得硬度分布函数。硬度分布函数将端淬曲线描述为直线段和曲线段构成的分段函数。直线段描述试样端部获得全部马氏体区域的硬度，在此区域硬度保持恒定最高值。在曲线段硬度递减，最后趋近恒定最低值。钢的淬透性值用数学参数来表示, 它数值上等于曲线拐点总距离，其中包括全部获得马氏体的直线段长度，但它与端淬距离无关。用非线性模拟程序代入试验值获得了淬透性值。模拟结果表明，所获得模型与试验值吻合非常好。 关键词 ： 淬透性,  数学模型,  端淬曲线     Abstract：A new mathematical model and a parameter for the hardenability of steels is presented in this paper. A differential equation of the Jominy curves has been constructed according to the Jominy experimental data and change of derivative of the Jominy curve. The linear trial method was used to choose optimal type of function. The model for calculating the hardness distributions has been described as the subsection functions consisting of both straight line and curve. The straight depicts the hardness of the martensite region where the martensite is entirely obtained and the hardness remains a constant maximum value. In addition, the hardness is continuously reduced in the region of the curve until the hardness approaches a minimum value. The hardenability of steels has been expressed as a coefficient that is equal to the whole distance of inflexion of Jominy curve in numerical value. The distance includes length of straight line in which martensite is entirely obtained, while it is not related to the Jominy distance. The value of the hardenability has been obtained by a method of the non-linear curve fitting to the Jominy test data. Very good agreements have been obtained between the simulated curves and the experimental measurements. Key words： hardenability    mathematical model    Jominy curve 收稿日期: 2005-11-10      ZTFLH:  TG115.6   服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 金满 连建设 江中浩 44.8K 链接本文: https://www.ams.org.cn/CN/Y2006/V42/I3/265 [1] Wu J X, Zhou G Y, Xun Y M. Application Technology of Hardenability of Steels. Beijing: China Machine Press, 1994: 308 (吴季恂,周光裕,荀毓闽．钢的淬透性应用技术．北京:机械 工业出版社,1994:308) [2] Weymueller C R. Met Prog, 1973; 103: 93 [3] Just E. Met Prog, 1969; 95: 871 [4] Breen D H, Walter G H, Sponzilli J T. Met Prog, 1973; 104: 43 [5] Yu B H. Iron Steel, 1985; 20(3): 40 (余柏海．钢铁,1985;20(3):40) [6] Lund T. Scan J Metall, 1990; 19: 227 [7] Andersson K, Kivivuori S, Korhonen A S. Mater Sci Forum, 1994; 163: 683 [8] Filetin T, Liscic B, Galinec J. Adv Mater Processes, 1995; 148: 2 [9] Cook W T, Morris P F, Woollard L. J Mater Eng Perform, 1997; 6: 443 [10] Komenda J, Sandstrom R, Tukiainen M. Steel Res, 1997; 89: 132 [11] Dobrzanski L A, Sitik W. J Mater Process Technol, 1999; 90: 467 [12] Miao Z H, Hu W Y. Trans Met Heat Treat, 2000; 21(1): 57 (缪宗华,胡为颖．金属热处理学报, 2000;21(1):57) [13] Thomas K, Gearv E A, Avis P, Bishop D. Mater Design, 1992; 13: 17 [14] Mostert R J, van Rooyen G T. Mater Sci Technol, 1991; 7: 803 [15] Li M V, Niebuhr D V, Meekisho L L, Atteridge D G. Met- all Mater Trans, 1998; 29B: 661 [16] Dobrzanski L A, Sitek W. J Mater Process Technol, 1997; 64: 117 [17] Geary E A, Cook W T, Lane K A G. Mater Sci Forum, 1994; 163: 689 [18] Vermeulen W G, van der Wolk P J, de Weijer A P, van der Zwaag S. J Mater Eng Perform, 1996; 5: 57 [19] Filetin T, Liscic B, Galinec J. Heat Treat Met, 1996; 23: 63 [20] Dobrzanski L A, Sitek W. J Mater Process Technol, 1998; 78: 59 [21] Dobrzanski L A, Sitek W. J Mater Process Technol, 1999; 92-93: 8 [22] Yao X, Zhu Z C, Gu J F, Hu M J, Zhang W M. Mater Mech Eng, 2003; 27(8): 8 (姚新,朱祖昌,顾剑锋,胡明娟,张伟民．机械工程材料, 2003;27(8):8) [23] Fu D Z, Lin H G. Hardenability Handbook of Steels. Beijing: China Machine Press, 1973 (傅代直,林慧国．钢的淬透性手册．北京:机械工业出版社, 1973) [24] AMS Handbook Committee. Metals Handbook. 9t ed. , Vol.1 , Metals Park , Ohio: American Society for Metals, 1978) [1] 吕超然, 徐乐, 史超, 刘进德, 蒋伟斌, 王毛球. Al对42CrMo螺栓钢淬透性及组织的影响[J]. 金属学报, 2020, 56(10): 1324-1334. [2] 闫学伟,唐宁,刘孝福,税国彦,许庆彦,柳百成. 镍基高温合金铸件液态金属冷却定向凝固建模仿真及工艺规律研究[J]. 金属学报, 2015, 51(10): 1288-1296. [3] 潘涛, 王小勇, 苏航, 杨才福. 合金元素Al对微B处理特厚钢板淬透性及力学性能的影响*[J]. 金属学报, 2014, 50(4): 431-438. [4] 刘胜胆 李承波 邓运来 张新明. 时效对7055铝合金厚板淬透性的影响[J]. 金属学报, 2012, 48(3): 343-350. [5] 黄红乾 曹富荣 管仁国 赵占勇 邢振环. 半固态合金强流变轧制单位轧制压力分布的数学模型和理论研究[J]. 金属学报, 2011, 47(3): 291-297. [6] 李宝宽; 顾明言; 齐凤升; 王芳; 周谦 . 底吹钢包内气/钢液/渣三相流模型及渣层行为的研究[J]. 金属学报, 2008, 44(10): 1198-1202 . [7] 李维彪; 王芳; 齐凤升; 李宝宽 . 结晶器喂钢带连铸坯凝固过程的数学模拟[J]. 金属学报, 2007, 43(11): 1191-1194 . [8] 金满; 连建设; 江中浩 . 结构钢端淬曲线预测新方法[J]. 金属学报, 2006, 42(4): 405-410 . [9] 金满; 江中浩; 连建设; 王哲 . 钢的U曲线数学模型[J]. 金属学报, 2006, 42(10): 1019-1024 . [10] 梁作俭; 许庆彦; 李俊涛 . Ti-Al合金精密铸件微观缩松预测[J]. 金属学报, 2003, 39(3): 278-282 . [11] 张炯明; 张立; 王新华; 王立峰 . 板坯连铸结晶器热流量分布的研究[J]. 金属学报, 2003, 39(12): 1285-1290 . [12] 王业双; 张咏波; 王渠东; 马春江; 丁文江; 朱燕萍 . Mg-9Al合金铸造凝固模型[J]. 金属学报, 2002, 38(5): 539-543 . [13] 童文辉; 杨院生; 朱仕学; 陈晓明; 胡壮麒; 惠希东 . 二元合金激光快速熔凝过程的非Fourier模型[J]. 金属学报, 2002, 38(12): 1233-1237 . [14] 韩志强; 沈厚发 . 合金凝固过程的传输模型[J]. 金属学报, 2002, 38(1): 35-40 . [15] 郭景杰; 刘源; 贾均; 苏彦庆; 丁宏升 . 过偏晶合金快速凝固过程中第二相液滴在液-液相变区内的粗化[J]. 金属学报, 2001, 37(4): 363-368 . Viewed Full text Abstract Cited   Shared      Discussed