The diffuse interface approach in materials science : thermodynamic concepts and applications of phase-field models
Emmerich, Heike
The diffuse interface approach in materials science : thermodynamic concepts and applications of phase-field models / Heike Emmerich - Berlin ; New York : Springer-Verlag 2003. - viii, 178 pages : illustrations ; 24 cm. - Lecture notes in physics., New series m, Monographs ; m73. .
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
9783642055836
Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035
Engineering
Materials science.
Materials science.
Interfaces .
Physical Science .
Thermodynamics
Thermodynamic equilibrium.
620.11 EMM
The diffuse interface approach in materials science : thermodynamic concepts and applications of phase-field models / Heike Emmerich - Berlin ; New York : Springer-Verlag 2003. - viii, 178 pages : illustrations ; 24 cm. - Lecture notes in physics., New series m, Monographs ; m73. .
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
9783642055836
Zafaa Books & Distributors :313/56F 49A, Anand Nagar Inderlok Delhi 110035
Engineering
Materials science.
Materials science.
Interfaces .
Physical Science .
Thermodynamics
Thermodynamic equilibrium.
620.11 EMM