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The diffuse interface approach in materials science : thermodynamic concepts and applications of phase-field models / Heike Emmerich

By: Emmerich, HeikeContributor(s): Emmerich, HeikeMaterial type: Text

TextPublisher number: ;Zafaa Books & Distributors | :313/56F 49A, Anand Nagar Inderlok Delhi 110035Series: Lecture notes in physics., New series m, Monographs ; m73Publication details: Berlin ; New York : Springer-Verlag 2003Description: viii, 178 pages : illustrations ; 24 cmISBN: 9783642055836Subject(s): Engineering | Materials science | Materials science | Interfaces | Physical Science | Thermodynamics | Thermodynamic equilibriumDDC classification: 620.11 EMM

Contents:

1. Introduction -- 1.1. Structure and Scope of This Work -- 2. What Is an Interface? -- 3. Equilibrium Thermodynamics of Multiphase Systems: Thermodynamic Potentials and Phase Diagrams -- 3.1. Calculating Phase Diagrams from Energy Functionals -- 3.2. Abstracted Phase Diagrams -- 4. Thermodynamic Concepts of Phase-Field Modeling -- 4.1. Derivation of Transport Equations -- 4.2. Introducing the Phase-Field Variable [phi] -- 4.3. Thermodynamic Consistency -- 4.4. Appendix -- 5. Asymptotic Analysis -- 5.1. A Formal Mathematical Approach Towards Matching -- 5.2. Asymptotic Matching for Thin Film Epitaxial Growth -- 5.3. A Generalized Approach Towards the Asymptotic Analysis of Diffuse Interface Models -- 5.4. Discussion.

Summary: "The book is devoted to the application of phase-field (diffuse interface) models in materials science. 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

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Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	SNU LIBRARY	620.11 EMM (Browse shelf(Opens below))	Not For Loan		28372

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1. Introduction --
1.1. Structure and Scope of This Work --
2. What Is an Interface? --
3. Equilibrium Thermodynamics of Multiphase Systems: Thermodynamic Potentials and Phase Diagrams --
3.1. Calculating Phase Diagrams from Energy Functionals --
3.2. Abstracted Phase Diagrams --
4. Thermodynamic Concepts of Phase-Field Modeling --
4.1. Derivation of Transport Equations --
4.2. Introducing the Phase-Field Variable [phi] --
4.3. Thermodynamic Consistency --
4.4. Appendix --
5. Asymptotic Analysis --
5.1. A Formal Mathematical Approach Towards Matching --
5.2. Asymptotic Matching for Thin Film Epitaxial Growth --
5.3. A Generalized Approach Towards the Asymptotic Analysis of Diffuse Interface Models --
5.4. Discussion.

"The book is devoted to the application of phase-field (diffuse interface) models in materials science. 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

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