Computer Simulation of Solidification

The current state-of-the-art of computer simulation of solidification has been reviewed. Brief descriptions are given for methods of handling the latent heat of fusion and analog, finite element, finite difference, and pseudo-steady state technique used to stimulate solidification are defined. Methods of reducing manpower requirements are discussed as well as general purpose heat transfer codes currently available. The paper concludes with several examples of solidification simulation including die casting, welding, and die design applications.

[1]  Roland W. Lewis,et al.  Finite element solution of non‐linear heat conduction problems with special reference to phase change , 1974 .

[2]  D. T. Hawkins,et al.  Selected values of the thermodynamic properties of binary alloys , 1973 .

[3]  J. K. Brimacombe,et al.  Heat flow, gap formation and break-outs in the continuous casting of steel slabs , 1976 .

[4]  Pedro V. Marcal,et al.  A NUMERICAL THERMO-MECHANICAL MODEL FOR THE WELDING AND SUBSEQUENT LOADING OF A FABRICATED STRUCTURE , 1973 .

[5]  Anastas Lazaridis,et al.  A numerical solution of the multidimensional solidification (or melting) problem , 1970 .

[6]  D. Hartree,et al.  The calculation of variable heat flow in solids , 1946, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[7]  O. Zienkiewicz.  The Finite Element Method In Engineering Science , 1971 .

[8]  Edward L. Wilson,et al.  Application of the finite element method to heat conduction analysis , 1966 .

[9]  D. R. Atthey.  A Finite Difference Scheme for Melting Problems , 1974 .

[10]  Donald T. Hawkins,et al.  Selected Values of the Thermodynamic Properties of the Elements , 1973 .

[11]  C. W. Hirt,et al.  SOLA: a numerical solution algorithm for transient fluid flows, addendum , 1976 .

[12]  W. Eisen,et al.  Computer simulation of consumable melted slabs , 1970, Metallurgical and Materials Transactions B.

[13]  D. Rosenthal.  Mathematical Theory of Heat Distribution during Welding and Cutting , 1941 .

[14]  C. J. Parekh,et al.  The application of finite elements to heat conduction problems involving latent heat , 1973 .

[15]  William C. Erickson,et al.  The use of general purpose software in casting solidification simulation , 1977 .

[16]  E. Friedman.  Thermomechanical Analysis of the Welding Process Using the Finite Element Method , 1975 .

[17]  Suresh Jain,et al.  Computer-aided injection molding system , 1978 .

[18]  J. Keverian,et al.  The Theory and Application of a Digital Computer in Predicting Solidification Patterns , 1965 .

[19]  J. Z. Zhu,et al.  The finite element method , 1977 .

[20]  R. Guthrie,et al.  Fluid flow in filling ladles , 1978 .

[21]  Antonio Fasano,et al.  Numerical solution of phase-change problems , 1973 .

[22]  C. W. Hirt,et al.  SOLA: a numerical solution algorithm for transient fluid flows , 1975 .

[23]  O. C. Zienkiewicz,et al.  Transient field problems: Two‐dimensional and three‐dimensional analysis by isoparametric finite elements , 1970 .