Journal ArticleDOI
Probabilistic modelling of microstructure formation in solidification processes
TLDR
In this article, a new approach to the modelling of grain structure formation in solidification processes is proposed based upon a two-dimensional cellular automata technique, the model includes the mechanisms of heterogeneous nucleation and of grain growth.Abstract:
A new approach to the modelling of grain structure formation in solidification processes is proposed. Based upon a two-dimensional cellular automata technique, the model includes the mechanisms of heterogeneous nucleation and of grain growth. Nucleation occurring at the mould wall as well as in the liquid metal are treated by using two distributions of nucleation sites. The location and the crystallographic orientation of the grains are chosen randomly among a large number of cells and a certain number of orientation classes, respectively. The growth kinetics of the dendrite tip and the preferential 〈100〉 growth directions of cubic metals are taken into account. The model is then applied to small specimens of uniform temperature. The columnar-to-equiaxed transition, the selection and extension of columnar grains which occur in the columnar zone and the impingement of equiaxed grains are clearly shown by this technique. The calculated effect of the alloy concentration and cooling rate upon the resultant microstructure agree with experimental observations.read more
Citations
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Journal ArticleDOI
Additive manufacturing of metallic components – Process, structure and properties
Tarasankar Debroy,Huiliang Wei,J.S. Zuback,T. Mukherjee,John W. Elmer,John O. Milewski,Allison M. Beese,Alexander E. Wilson-Heid,Amitava De,Wei Zhang +9 more
TL;DR: A review of the emerging research on additive manufacturing of metallic materials is provided in this article, which provides a comprehensive overview of the physical processes and the underlying science of metallurgical structure and properties of the deposited parts.
Journal ArticleDOI
A coupled finite element-cellular automaton model for the prediction of dendritic grain structures in solidification processes
Ch.-A. Gandin,Michel Rappaz +1 more
TL;DR: In this paper, a 2D cellular automata (CA) technique is proposed for the simulation of dendritic grain formation during solidification, which takes into account the heterogeneous nucleation, the growth kinetics and the preferential growth directions of the dendrites.
Journal ArticleDOI
Solidification microstructures: recent developments, future directions
William J. Boettinger,Sam R. Coriell,A.L. Greer,Alain Karma,Wilfried Kurz,Michel Rappaz,Rohit Trivedi +6 more
TL;DR: The status of solidification science is critically evaluated and future directions of research in this technologically important area are proposed in this paper, where the most important advances in solidification sciences and technology of the last decade are discussed: interface dynamics, phase selection, microstructure selection, peritectic growth, convection effects, multicomponent alloys, and numerical techniques.
Journal ArticleDOI
Coupled quantitative simulation of microstructural evolution and plastic flow during dynamic recrystallization
R Ding,Zhengxiao Guo +1 more
TL;DR: In this paper, a new modelling approach that couples fundamental metallurgical principles of dynamical recrystallization (DRX) with the cellular automata method has been developed to simulate the microstructural evolution and the plastic flow behaviour during thermomechanical processing with DRX.
Journal ArticleDOI
The effect of the size distribution of inoculant particles on as-cast grain size in aluminium alloys
T.E. Quested,A.L. Greer +1 more
TL;DR: In this article, a model based on free-growth control of grain initiation is proposed to quantitatively predict the grain size in aluminium alloys inoculated with commercial refiner as a function of refiner addition level, solute content in the melt and cooling rate.
References
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Journal ArticleDOI
Kinetics of Phase Change. II Transformation‐Time Relations for Random Distribution of Nuclei
TL;DR: In this article, a relation between the actual transformed volume V and a related extended volume V1 ex is derived upon statistical considerations, and a rough approximation to this relation is shown to lead, under the proper conditions, to the empirical formula of Austin and Rickett.
Book
Fundamentals of Solidification
W. Kurz,D. J. Fisher +1 more
TL;DR: In this article, Atom Transfer at the Solid/Liquid Interface Morphological Instability of a Solid/ Liquid Interface Solidification Microstructure: Cells and Dendrites SolidificationMicrostructure, Eutectic and Peritectic Solute Redistribution Rapid Solidization Microstructures Summary Appendices Symbols Index
Book
Principles of Solidification
TL;DR: Solidification is the process by which a liquid is transformed into a crystalline solid as discussed by the authors, in which the solid that forms first is solvent rich as distinct from crystallisation, and the crystals that are formed are solute rich.
Journal ArticleDOI
Computer simulation of grain growth—I. Kinetics
TL;DR: In this paper, a Monte Carlo procedure is applied to the study of grain growth in two dimensions, where the initial distribution of orientations is chosen at random and the system evolves so as to reduce the number of nearest neighbor pairs of unlike crystallographic orientation.
Book ChapterDOI
Theory of Microstructural Development during Rapid Solidification
Rohit Trivedi,Wilfried Kurz +1 more
TL;DR: In this article, some of the fundamental factors which play important roles in determining microstructures under rapid solidification condition are described, and it is shown that the interface stability analysis needs to be extended to include the possibility of high thermal as well as high solute undercoolings.
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