Analysis of Residual Stresses and Metallurgical Phase Changes in Centrifugally Cast Bi-Metal Grinding Rolls

A mathematical model was developed for computing the metallurgical phase transformations and residual stresses in centrifugal casting of bi-metal grinding rolls used for coal pulverizing. The model considers variation of thermo-mechanical properties of material with temperature, effects of phase changes and metallurgical phase transformations. Rolls idealized as having infinite cylindrical geometry and the actual finite conical geometry are analysed for cases of air and water jet cooling of the centrifuging die. As expected an increase in the martensitic fraction is obtained on the grinding surface due to water jet cooling. The study indicates that the large size rolls analysed herein have higher martensitic fraction as compared to small size roll. Simplified analysis model is developed for usage in parametric studies involving various sizes for initial sizing of the rolls.

[1]  W. E. Haisler,et al.  A THEORY FOR ANALYSIS OF THERMOPLASTIC MATERIALS , 1981 .

[2]  I. V. Samarasekera,et al.  Mathematical model of phase transformations and elastoplastic stress in the water spray quenching of steel bars , 1993 .

[3]  M. Avrami,et al.  Kinetics of Phase Change 2 , 1940 .

[4]  M. Avrami.  Kinetics of Phase Change. II Transformation‐Time Relations for Random Distribution of Nuclei , 1940 .

[5]  M. Avrami.  Kinetics of Phase Change. I General Theory , 1939 .

[6]  J. K. Brimacombe,et al.  Mathematical model of heat flow and austenite-pearlite transformation in eutectoid carbon steel rods for wire , 1981 .

[7]  D. P. Koistinen,et al.  A general equation prescribing the extent of the austenite-martensite transformation in pure iron-carbon alloys and plain carbon steels , 1959 .

[8]  Klaus-Jürgen Bathe,et al.  A solution procedure for thermo-elastic-plastic and creep problems , 1981 .

[9]  R. F. Kulak,et al.  Accurate Numerical Solutions for Elastic-Plastic Models , 1979 .

[10]  Klaus-Jürgen Bathe,et al.  AN EFFICIENT ALGORITHM FOR ANALYSIS OF NONLINEAR HEAT TRANSFER WITH PHASE CHANGES , 1982 .

[11]  Franz G. Rammerstorfer,et al.  On thermo-elastic-plastic analysis of heat-treatment processes including creep and phase changes , 1981 .

[12]  S. Timoshenko,et al.  Theory of elasticity , 1975 .

[13]  K. Bathe,et al.  FINITE ELEMENT FORMULATIONS FOR LARGE DEFORMATION DYNAMIC ANALYSIS , 1975 .

[14]  Klaus-Jürgen Bathe,et al.  Some practical procedures for the solution of nonlinear finite element equations , 1980 .

[15]  M. Khoshgoftaar,et al.  Finite element formulation and solution of nonlinear heat transfer , 1979 .

[16]  S. Chandrasekar,et al.  An Efficient 2D Finite Element Procedure for the Quenching Analysis With Phase Change , 1993 .

[17]  Y. Li,et al.  Modeling Quenching to Predict Residual Stress and Microstructure Distribution , 1988 .