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The theory of transformations in metals and alloys

J.W. Christian, +1 more
TLDR
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.
Abstract
Part I General introduction. Formal geometry of crystal lattices. The theory of reaction rates. The thermodynamics of irreversable processes. The structure of real metals. Solids solutions. The theory of dislocations. Polycrystalline aggregates. Diffusion in the solid state. The classical theory of nucleation. Theory of thermally activated growth. Formal theory of transformation kinetics. Part II Growth from the vapour phase. Solidification and melting. Polymorphic Changes. Precipitation from supersaturated solid solution. Eutectoidal transformations. Order-disorder transformations. Recovery recrystalisation and grain growth. Deformation twinning. Characteristics of martensic transformations. Crystallography of martensitic transformations. Kinetics of martensitic transformations. Rapid solidification. Bainite steels. Shape memory alloys.

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A model for the development of microstructure in low-alloy steel (Fe-Mn-Si-C) weld deposits

TL;DR: In this paper, the microstructural variations in a series of low-alloy steel weld deposits containing different carbon concentrations (produced using experimental electrodes) are discussed in terms of a phenomenological model based on phase transformation theory.
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Plastic relaxation of the transformation strain energy of a misfitting spherical precipitate: Ideal plastic behavior

TL;DR: In this paper, the total amount of work expended during elasto-plastic deformation is calculated and compared with the total strain energy in the corresponding pure elastic state, assuming ideal plastic behavior for an isotropic matrix containing a misfitting spherical precipitate.
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Two-phase deformations of elastic solids

TL;DR: In this article, it was shown that if a two-phase deformation with gradient F is a local minimizer, then given any point p 0 of the surface of discontinuity, the piecewise-homogeneous deformation corresponding to the two values F±(P0) of F(P 0) is a global minimizer.
Journal ArticleDOI

Thermodynamics of melting and freezing in small particles

TL;DR: In this article, a classical thermodynamic treatment of the melting and freezing of small particles, including the effects of surface-induced order, predicts an energy barrier between a surface melted state and the liquid droplet.
Journal ArticleDOI

Interaction between recrystallization and phase transformation during intercritical annealing in a cold-rolled dual-phase steel: A cellular automaton model

TL;DR: In this paper, the concurrent ferrite recrystallization and austenitic transformation during intercritical annealing of cold-rolled DP steels is investigated by cellular automaton (CA) modeling.