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The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models: 73 (Lecture Notes in Physics Monographs, 73) - Hardcover
The book is devoted to the application of phase-field (diffuse interface) models in materials science. Phase-field modeling emerged only recently as a theoretical approach to tackle questions concerning the evolution of materials microstructure, the relation between microstructure and materials properties and the transformation and evolution of different phases. This volume brings together the essential thermodynamic ideas as well as the essential mathematical tools to derive phase-field model equations. Starting from an elementary level such that any graduate student familiar with the basic concepts of partial differential equations can follow, it shows how advances in the field of phase-field modeling will come from a combination of thermodynamic, mathematical and computational tools. Also included are two extensive examples of the application of phase-field models in materials science.
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"In total, this very interesting book gives a modern understanding of the problems of phase-field modeling, and may be useful for students and specialists working in this and in related scientific fields." (Zentralblatt MATH 2004, vol. 1039, page 51)
"This book is devoted to an application of the diffuse interface approach to different interfacial growth phenomena, as a whole, and to a discussion of the difference between the sharp interface limit and diffuse interface limit of a phase-field model, in particular. ... In total, this very interesting book gives a modern understanding of the problems of phase-field modeling, and may be useful for students and specialists working in this and in related scientific fields." (I. A. Parinov, Zentralblatt MATH, Vol. 1039 (8), 2004)
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- PublisherSpringer
- Publication date2003
- ISBN 10 3540004165
- ISBN 13 9783540004165
- BindingHardcover
- Number of pages188
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The Diffuse Interface Approach in Materials Science: Thermodynamic Concepts and Applications of Phase-Field Models (Lecture Notes in Physics Monographs, 73)
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The Diffuse Interface Approach in Materials Science
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The Diffuse Interface Approach in Materials Science
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Book Description Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Many inhomogeneous systems involve domains of well-de ned phases se- rated by a distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the other. Examples are phase separation by sp- odal decomposition or nucleation and subsequent growth of the nucleus in the nourishing phase [139]. Another example which has often been discussed as a paradigmatic problem is that of dendritic solidi cation [29, 64, 79, 199]. The phenomenological description of these phenomena involves the de - tion of a precisely located interfacial surface on which boundary conditions are imposed. One of those boundary conditions typically yields a normal - locity at which the interface is moving. This is the so-calledsharp interface approach, adopted both in analytical and numerical studies for a variety of contexts involving a moving boundary. The origin of such a description is - ten transparent, being obtained by symmetry arguments and common sense. 192 pp. Englisch. Seller Inventory # 9783540004165
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Book Description Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. What Is an Interface? Interfaces in Materials Science and Beyond.- Equilibrium Thermodynamics of Multiphase Systems: Thermodynamic Potentials and Phase Diagrams.- Thermodynamic Concepts of Phase-Field Modeling.- Asymptotic Analysis.- Application of Diffuse . Seller Inventory # 4877151
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The Diffuse Interface Approach in Materials Science : Thermodynamic Concepts and Applications of Phase-Field Models
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Book Description Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Many inhomogeneous systems involve domains of well-de ned phases se- rated by a distinct interface. If they are driven out of equilibrium one phase will grow at the cost of the other. Examples are phase separation by sp- odal decomposition or nucleation and subsequent growth of the nucleus in the nourishing phase [139]. Another example which has often been discussed as a paradigmatic problem is that of dendritic solidi cation [29, 64, 79, 199]. The phenomenological description of these phenomena involves the de - tion of a precisely located interfacial surface on which boundary conditions are imposed. One of those boundary conditions typically yields a normal - locity at which the interface is moving. This is the so-calledsharp interface approach, adopted both in analytical and numerical studies for a variety of contexts involving a moving boundary. The origin of such a description is - ten transparent, being obtained by symmetry arguments and common sense. Seller Inventory # 9783540004165
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