CRC Press Quantitative Phase Field Modelling of Solidification - CRC Press

This comprehensive study explores phase field modelling of solidification in metal alloy systems, offering both theoretical foundations and practical applications. The book is organised into two main themes: the first examines multiple classes of quantitative multi-order parameter phase field models designed for multi-component alloy solidification, derived using the grand potential ensemble to track solidification evolution through chemical potentials of solute species rather than traditional solute concentrations. The second section details matched asymptotic analysis techniques for making phase field models quantitative, providing engineers and materials scientists with essential methods for understanding complex solidification behaviour. This work bridges theoretical solidification science with practical modelling approaches, making it valuable for researchers, academics, and professionals working in materials engineering, metallurgy, and computational materials science who need rigorous quantitative frameworks.