Quantitative Phase Field Modelling of Solidification

This book discusses phase field modelling of solidification in metal alloy systems, focusing on quantitative multi-order parameter models and their application to rapid solidification. It is suitable for graduate students and researchers in materials science and engineering.

Format: Paperback / softback
Length: 174 pages
Publication date: 29 January 2024
Publisher: Taylor & Francis Ltd

Provides detailed examples and case studies to illustrate the theoretical concepts and numerical implementations
This comprehensive book delves into phase field modelling, a powerful tool for studying solidification in metal alloy systems. It is divided into two main themes, each exploring different aspects of this complex phenomenon.

The first half of the book focuses on developing quantitative multi-order parameter phase field models for multi-component alloy solidification. These models are derived using grand potential ensemble, which tracks the evolution of the chemical potentials of solute species rather than the more commonly used solute concentrations. The use of matched asymptotic analysis is extensively discussed, providing a detailed framework to make these abstract models accessible to students. The authors delve into the mathematical intricacies and computational techniques required to implement these models, making them valuable resources for advanced research.

The second half of the book explores the application of phase field modelling to rapid solidification, where solute trapping and interface undercooling occur under highly non-equilibrium conditions. In this limit, matched asymptotic analysis is employed to map phase field evolution equations onto the continuous growth model, widely accepted as a sharp-interface description of solidification at rapid solidification rates. The authors demonstrate how this mapping enables the quantitative analysis of rapid solidification processes, providing insights into the complex dynamics involved.

Throughout the book, detailed examples and case studies are provided to illustrate the theoretical concepts and numerical implementations. These examples cover a wide range of applications, including binary alloys, ternary alloys, and multi-phase systems, making the book relevant to graduate students and researchers in materials science and materials engineering.

With its comprehensive coverage, rigorous analysis, and practical applications, this book serves as a valuable resource for advancing our understanding of solidification in metal alloy systems. It provides a clear path to develop quantitative multi-phase and multi-component phase field models, enabling researchers to study the complex kinetics of solidification with greater precision and accuracy.

Weight: 340g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032068886