The Diffuse Interface Approach in Materials Science

Thermodynamic Concepts and Applications of Phase-Field Models
1. Auflage. Softcover version of original hardcover Auflage 2003
ISBN: 978-3-642-05583-6
Verlag: Springer

Buch, Englisch, Band 73, 180 Seiten, Paperback, Format (B × H): 155 mm x 235 mm, Gewicht: 300 g

Reihe: Lecture Notes in Physics Monographs

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.

Zielgruppe

Research

Autoren/Hrsg.

Emmerich, Heike

Fachgebiete

• Technische Wissenschaften Technik Allgemein Physik, Chemie für Ingenieure
• Technische Wissenschaften Technik Allgemein Modellierung & Simulation
• Naturwissenschaften Physik Thermodynamik Festkörperphysik, Kondensierte Materie
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Technische Thermodynamik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Werkstoffkunde, Materialwissenschaft: Forschungsmethoden

Inhaltsverzeichnis

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 Interface Modeling to Hydrodynamically Driven Growth.- Application to Epitaxial Growth Involving Elasticity.- Conclusions and Perspectives.