Journal ArticleDOI
Modelling of kinetics in multi-component multi-phase systems with spherical precipitates I. – Theory
Jiří Svoboda,Franz Dieter Fischer,Franz Dieter Fischer,Peter Fratzl,Peter Fratzl,Ernst Kozeschnik +5 more
TLDR
In this article, a new model for the evolution of the precipitate structure derived by means of application of the thermodynamic extremum principle is presented, which describes the evolution the radii and of the chemical composition of individual precipitates of different phases in the multi-component system.Abstract:
A new model for the evolution of the precipitate structure derived by means of application of the thermodynamic extremum principle is presented. The model describes the evolution of the radii and of the chemical composition of individual precipitates of different phases in the multi-component system. In connection with a proper theory of nucleation, the model is able to describe the evolution of the precipitate structure in the classical stages of nucleation, growth and coarsening as well as interaction of precipitates of different phases, of different chemical composition and of different sizes via diffusion in the matrix.read more
Citations
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The double-edge effect of second-phase particles on the recrystallization behaviour and associated mechanical properties of metallic materials
TL;DR: In this article, a review article summarizes the recent progresses on the complex interaction between second-phase particles and recrystallization and the science behind them, and concludes that the double-edge effect of second phase particles on the behavior and mechanical properties of metallic materials is still far from being clear.
Journal ArticleDOI
Modeling concepts for intermetallic titanium aluminides
TL;DR: In this article, a selection of such models is introduced and explained in a comprehensive way, and several experimental approaches that could characterize the relevant deformation mechanisms are described that could be used to describe thermomechanically controlled processes.
Journal ArticleDOI
Influence of silicon on cementite precipitation in steels
TL;DR: In this paper, the authors investigated the mechanism by which relatively small concentrations of silicon influence the precipitation of cementite from carbon supersaturated austenite and ferrite and found that one condition for the retardation of martensite is that the latter must grow under para-equilibrium conditions, i.e. the silicon must be trapped in the cementite.
Journal ArticleDOI
Generalized Nearest-Neighbor Broken-Bond Analysis of Randomly Oriented Coherent Interfaces in Multicomponent Fcc and Bcc Structures
TL;DR: In this paper, a model for the estimation of matrix/precipitate interfacial energies is developed, which takes into account atomic bindings over an arbitrary number of neighboring shells and accounts for general, multicomponent solid solutions.
Journal ArticleDOI
Application of the thermodynamic extremal principle to modeling of thermodynamic processes in material sciences
TL;DR: In this paper, an extremal principle is formulated for thermodynamic systems near equilibrium subjected to various external conditions, and it is shown that the principle describes unambiguously the kinetics of the thermodynamic system and replaces classical phenomenological equations.
References
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Journal ArticleDOI
Reciprocal Relations in Irreversible Processes. II.
TL;DR: In this article, a general reciprocal relation applicable to transport processes such as the conduction of heat and electricity, and diffusion, is derived from the assumption of microscopic reversibility, and certain average products of fluctuations are considered.
Book
The theory of transformations in metals and alloys : an advanced textbook in physical metallurgy
Book
The theory of transformations in metals and alloys
J.W. Christian,H. M. Otte +1 more
TL;DR: In this paper, the authors present a general introduction to the theory of transformation kinetics of real metals, including the formation and evolution of martensitic transformations, as well as a theory of dislocations.
Journal ArticleDOI
Phase-Field Models for Microstructure Evolution
TL;DR: The phase-field method has recently emerged as a powerful computational approach to modeling and predicting mesoscale morphological and microstructure evolution in materials as discussed by the authors, which is able to predict the evolution of arbitrary morphologies and complex microstructures without explicitly tracking the positions of interfaces.
Journal ArticleDOI
Models for numerical treatment of multicomponent diffusion in simple phases
Jan-Olof Andersson,John Ågren +1 more
TL;DR: In this article, a general formalism for multicomponent diffusion in simple phases is presented in some detail, which is mainly based on previous work by various authors, and the purpose of the present work is to develop the formalism to such an extent that it is suitable for implementation on a computer.