Simulation of lower bainitic transformation with the phase-field method considering carbide formation

被引:20
作者
Duesing, M. [1 ]
Mahnken, R. [1 ]
机构
[1] Univ Paderborn, Chair Engn Mech, D-33098 Paderborn, Germany
关键词
Phase-field; Bainite; Phase transformation; Diffusion; Cahn-Hilliard; Finite elements; CAHN-HILLIARD EQUATION; AUSTENITE; MODEL;
D O I
10.1016/j.commatsci.2015.08.043
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
Lower bainite is a steel microstructure composed of austenite, ferrite and carbides within the ferrite. The transformation of austenite to lower bainite is one of the most complex transformations in steel. The carbon concentration of bainitic ferrite is of major importance for the carbide precipitation. A phase-field model to simulate the transformation of lower bainite including carbon diffusion and carbide formation is presented in this work. The model is based on a classical phase-field approach coupled with a viscous Cahn-Hilliard equation to simulate the separation of the carbon. During the isothermal simulation a sheaf of bainitic ferrite grows. The carbon starts to diffuse within the supersaturated ferrite which can only contain a fraction of the carbon which was stored in the austenite. At the accumulations of the carbon concentration carbides are precipitated. The simulations show successfully the described growth characteristics of the lower bainite transformation including carbide formation. (C) 2015 Elsevier B.V. All rights reserved.
引用
收藏
页码:91 / 100
页数:10
相关论文
共 30 条
[1]  
[Anonymous], THESIS ECOLE NATL SU
[2]  
[Anonymous], MAT SCI
[3]  
[Anonymous], P ROY SOC LOND A
[4]   A phase-field model for bainitic transformation [J].
Arif, T. T. ;
Qin, R. S. .
COMPUTATIONAL MATERIALS SCIENCE, 2013, 77 :230-235
[5]  
Dreyer W., 2015, CONTINUUM MECH THERM, P1
[6]   NUMERICAL-STUDIES OF THE CAHN-HILLIARD EQUATION FOR PHASE-SEPARATION [J].
ELLIOTT, CM ;
FRENCH, DA .
IMA JOURNAL OF APPLIED MATHEMATICS, 1987, 38 (02) :97-128
[7]  
ELLIOTT CM, 1986, ARCH RATION MECH AN, V96, P339
[8]   A model for predicting austenite to bainite phase transformation in producing dual phase steels [J].
Garrett, RP ;
Xu, S ;
Lin, J ;
Dean, TA .
INTERNATIONAL JOURNAL OF MACHINE TOOLS & MANUFACTURE, 2004, 44 (7-8) :831-837
[9]   Generalized Ginzburg-Landau and Cahn-Hilliard equations based on a microforce balance [J].
Gurtin, ME .
PHYSICA D-NONLINEAR PHENOMENA, 1996, 92 (3-4) :178-192
[10]  
Horstmann D., 1985, ZUSTANDSSCHAUBILD EI