Cheng Heming, Zhang Shuhong, Wang Honggang, Li Jianyun. Finite Element Analysis of Temperature Field with Phase Transformation and Non-Linear Surface Heat-Trasfer Coefficeint during Quenching[J]. Applied Mathematics and Mechanics, 1998, 19(1): 15-20.
 Citation: Cheng Heming, Zhang Shuhong, Wang Honggang, Li Jianyun. Finite Element Analysis of Temperature Field with Phase Transformation and Non-Linear Surface Heat-Trasfer Coefficeint during Quenching[J]. Applied Mathematics and Mechanics, 1998, 19(1): 15-20.

# Finite Element Analysis of Temperature Field with Phase Transformation and Non-Linear Surface Heat-Trasfer Coefficeint during Quenching

• Received Date: 1996-11-04
• Publish Date: 1998-01-15
• The calculation of temperature field has a great influence upon the analysis of the thermal stresses and stains during quenching, and also upon the residual stresses and microstructure of the workpiece after quenching, too. In this paper, a 42CrMo steel cylinder was taken as an investigating example. From the TTT diagram of the 42CrMo steel, the CCT diagram was simulated by mat hematical transformation, and the volume fraction of phase constit uents was calculated. The thermal physical properties were treated as the functions of temperature and the volume fraction of phase constit utents. Finally, the temperature field with phase transformation and non-linear surface heattransfer coefficeints was calculated with finite element method, and the corresponding functional of temperature was established.
•  [1] A.Majorek,The influence of heat transfer on the development of st resses,residual stresses and distortions in martensitically hardened SAE 104and SAE 4140,Proceedings of First Int.Conf.on Quen ching and Control Distortion,Chicago,USA(1992),171-179. [2] Cheng Heming,A.Majorek and Wang Honggang,Determination of surface heat-transfer coefficient of 42CrMo steel cylinder with phase transformation during quenching,Proceedings of IMMM.95,Beijing(1995),345-351. [3] 王洪纲,《热弹性力学概论》,清华大学出版社(1989). [4] R.F.Prince and A.J.Fletcher,Determination of surface heat-transfer coefficients during quenching of steel plates,Metals Technology.,2(May 1980),203. [5] S.Denis,D.Farias and A.Simon,Mathematical model coupling phase transformation and temperature evolution in steels,IS IJ International,32(1992),316. [6] I.Tzitzelkov and H.Paul,Eine mathematicshe methode zur beschreibung des umwandlungsverhaltens eutektoidischer staehle,Arch.Eisen hutten wes,45(1974),525. [7] A.Majorek,Programmdokumentation,Institut fuer Werkstoffkunde I,University Karlsruhe(1992). [8] C.E.Bates,Quenching of Steels,in:ASM Handbook 4,Heat Treating,ASM International(1991),72.

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沈阳化工大学材料科学与工程学院 沈阳 110142

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