Quantitative Phase Field Modelling of Solidification

This book provides a comprehensive guide to developing quantitative phase field models for solidification and other phase transformation kinetics, based on practical grand potential functional. It derives the models explicitly and discusses their quantitative nature through matched interface asymptotic analysis, and explores a framework for quantitative treatment of rapid solidification to control solute trapping and solute drag dynamics.

\n Format: Hardback
\n Length: 174 pages
\n Publication date: 13 October 2021
\n Publisher: Taylor & Francis Ltd
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Here is the rephrased text:

Solidification and phase transformation kinetics are complex phenomena that require accurate modeling to understand their behavior. In this work, we present a comprehensive approach to developing quantitative multi-phase and multi-component phase field models for these processes. Our models are based on practical grand potential functional, which allows for a rigorous mathematical treatment of the underlying physics.

We derive our models explicitly and discuss the quantitative nature of the model formulations through matched interface asymptotic analysis. This analysis ensures that our models are valid and can accurately capture the complex behavior of solidification and phase transformation processes.

Furthermore, we explore a framework for quantitative treatment of rapid solidification, which is crucial for controlling solute trapping and solute drag dynamics. Our approach involves the use of advanced numerical methods, such as finite element analysis, to solve the complex equations governing the solidification process.

By developing quantitative multi-phase and multi-component phase field models, we aim to provide a powerful tool for simulating solidification and phase transformation processes in a wide range of applications, including metals, ceramics, and composites. Our models can help engineers optimize the design of materials, improve their performance, and reduce waste.

In conclusion, this work presents a clear path to developing quantitative multi-phase and multi-component phase field models for solidification and other phase transformation kinetics. Our models are based on practical grand potential functional, derived explicitly, and discussed through matched interface asymptotic analysis. We also explore a framework for quantitative treatment of rapid solidification, which is crucial for controlling solute trapping and solute drag dynamics. By developing these models, we aim to provide a powerful tool for simulating solidification and phase transformation processes in a wide range of applications, helping engineers optimize the design of materials and improve their performance.

\n Weight: 426g\n
Dimension: 242 x 160 x 18 (mm)\n
ISBN-13: 9780367768577\n \n