Overview

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.

Full Product Details

Author:   Heike Emmerich
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 2003
Volume:   73
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.302kg
ISBN:  

9783642055836

ISBN 10:   3642055834
Pages:   180
Publication Date:   10 October 2011
Audience:   Professional and scholarly ,  Professional and scholarly ,  Professional & Vocational ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of stock  
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Table of Contents

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.

Reviews

From the reviews: 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)

From the reviews: 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)

From the reviews: 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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