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Phase Field Theory in Materials Physics: The Hodograph Equation
Hardcover
Technology & EngineeringPhysics
ISBN13: 9783031492778
Publisher: Springer
Published: Feb 12 2024
Pages: 232
Weight: 1.25
Height: 0.16 Width: 9.06 Depth: 5.91
Language: English
This book deals with the use of the hodograph equation in phase transformations in condensed matter, especially, for crystallization and solidification processes. The main focus of the book is the interpretation of the phase-field equations for isotropic and anisotropic interfaces based on the advanced Gibbs-Thomson and Herring conditions, respectively. Beginning with the basic ideas behind the extended irreversible thermodynamics, the kinetic phase-field model for slow and arbitrarily fast phase transformations is derived where the unified hodograph equation follows from:
- the traveling wave solution of the propagating phase field.
Under the example of solute trapping and disorder trapping effects, comparing theoretical results with molecular dynamics simulations, and with the analysis of experimental data, the concrete workability of the developed hodograph equation is demonstrated for widest range of driving force in phase transformations.
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