Phase Field Theory in Materials Physics
Phase Field Theory in Materials Physics: The Hodograph Equation
English | 2024 | ISBN: 3031492773 | 253 Pages | PDF EPUB (True) | 24 MB
English | 2024 | ISBN: 3031492773 | 253 Pages | PDF EPUB (True) | 24 MB
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: