Phase Transformations in Multicomponent Melts

Bringing together the concerted efforts of the multicomponent materials community in one decisive reference work, this handbook covers all the important aspects from fundamentals to applications: thermodynamics, microscopic processes, solidification, simulation and modeling. As such, it provides a vital understanding of melt and solidification processes, treating all simulation techniques for continuous and discrete systems, such as molecular dynamics, Monte Carlo, and finite elements calculations.

Table of Contents:
Preface

PART I: Thermodynamics

PHASE FORMATION IN MULTICOMPONENT MONOTECTIC AL-BASED ALLOYS
Introduction
Experimental Methods
Systematic Classification of Ternary Monotectic Phase Diagrams
Selected Ternary Monotectic Alloy Systems
Quaternary Monotectic Al-Bi-Cu-Sn System
Conclusion
LIQUID-LIQUID INTERFACIAL TENSION IN MULTICOMPONENT IMMISCIBLE AL-BASED ALLOYS
Introduction
Measurement Technique
Experimental Details
Results
Discussion
Summary
MONOTECTIC GROWTH MORPHOLOGIES AND THEIR TRANSITIONS
Introduction
Experimental Procedures
Experiemntal Results
Discussion
Outlook
THERMAL EXPANSION AND SURFACE TENSION OF MULTICOMPONENT ALLOYS
Introduction
Experimental
Results
Conclusion and Summary
MEASUREMENT OF THE SOLID-LIQUID INTERFACE ENERGY IN TERNARY ALLOY SYSTEMS
Introduction
Experimental Procedure
Evaluation of the Local Curvature of the Grain Boundary Grooves
Results and Discussion
Summary and Conclusions
PHASE EQUILIBRIA OF NANOSCALE METALS AND ALLOYS
Introduction
Phase Stability and Phase Transformations in Nanoscale Systems
Summary

PART II: Microscopic and Macroscopic Dynamics

MELT STRUCTURE AND ATOMIC DIFFUSION IN MULTICOMPONENT METALLIC MELTS
Introduction
Exerimental Details
Results and Discussion
Conclusions
DIFFUSION IN MULTICOMPONENT METALLIC METS NEAR THE MELTING TEMPERATURE
Introduction
Experimental Diffusion Techniques
Influence of Thermodynamic Forces on Diffusion
PHASE BEHAVIOR AND MICROSCOPIC TRANSPORT PROCESSES IN BINARY METALLIC ALLOYS: COMPUTER SIMULATION STUDIES
Introduction
Transport Coefficients
A Symmetric LJ Mixture with a Liquid-Liquid Demixing Transition
Structure, Transport, and Crystallization in Al-Ni Alloys
Summary
MOLECULAR DYNAMICS MODELING OF ATOMIC PROCESSES DURING CRYSTAL GROWTH IN METALLIC ALLOY MELTS
Introduction
Entropy and Free Enthalpy of Zr-rich NixZr1-x Melts from MD Simulations and Their Application to the Thermodynamics of Crystallization
Bridging the Gap between Phase Field Modeling and Molecular Dynamics Simulations. Dynamics of the Planar [NixZr1-x]Liquid-ZrCrystal Crystallization Front
Entropy and Free Enthalpy in Ternary AlyNi0.4-yZr0.6 Alloy Melts
Concluding Remarks
COMPUTATIONAL OPTIMIZATION OF MULTICOMPONENT BERNAL?S LIQUIDS
Introduction
Methods
Results and Discussion
Conclusion
SOLIDIFICATION EXPERIMENTS IN SINGLE-COMPONENT AND BINARY COLLOIDAL MELTS
Introduction
Exerimental Procedure
Results
Conclusions

PART III: Nd-Fe Based Alloys

PHASE-FIELD SIMULATIONS OF Nd-Fe-B: NUCLEATION AND GROWTH KINETICS DURING PERITECTIC GROWTH
Introduction
Phase-Field Model with Hydrodynamic Convection
Investigating Heterogeneous Nucleation in Peritectic Materials via the Phase-Field Method
Conclusion
INVESTIGATIONS OF PHASE SELECTION IN UNDERCOOLED MELTS OF Nd-Fe-B ALLOYS USING SYNCHROTRON RADIATION
Introduction
Description of the Investigations
Experimental Results and Discussion
Analysis Within Models of Nucleation and Dendrite Growth
Summary and Conclusion
EFFECT OF VARYING MELT CONVECTION ON MICROSTRUCTURE EVOLUTION OF Nd-Fe-B AND Ti-Al PERITECTIC ALLOYS
Introduction
Methods Developed
Sample Preparation
Results and Discussion
Conclusion
NANOSIZED MAGNETIZATION DENSITY PROFILES IN HARD MAGNETIC Nd-Fe-Co-Al GLASSES
Introduction
SANS with Polarized Neutrons in Unsaturated Magnetic Systems
Experimental Procedure
Results and Discussion
Conclusion
MICROSTRUCTURE AND MAGNETIC PROPERTIES OF RAPIDLY QUENCHED (Nd100-xGax)80Fe20(x=0,5,10, and 15 at%) ALLOYS
Introduction
Sample Preparation and Experimental Investigations
Binary Nd80Fe20 Rapdily Quenched Alloys
Ternary (Nd100-xGax)80Fe20(x=5,10, and 15) Rapdily Quenched Alloys
Conclusions

PART IV: Solidification and Simulation

SOLIDIFICATION OF BINARY ALLOYS WITH COMPOSITIONAL STRESSES ? A PHASE-FIELD APPROACH
Introduction
Equations and Motion
Neutral Curves
Phase-Field Model
Simulation Results
Conclusion
ELASTIC EFFECTS ON PHASE TRANSITIONS IN MULTI-COMPONENT ALLOYS
Melting of Alloys in Eutectic and Peritectic Systems
Combined Motion of Melting and Solidification Fronts
Continuum Theory of Fast Crack Propagation
Summary
MODELING OF NONISOTHERMAL MULTI-COMPONENT, MULTI-PHASE SYSTEMS WITH CONVECTION
Introduction
Phase-Field Models for Multicomponent, Multiphase Systems
Multiphase Ginzburg-Landau Energies
Convective Phase-Field Models
Mathematical Analysis
PHASE-FIELD MODELING OF SOLIDIFICATION IN MULTI-COMPONENT AND MULTI-PHASE ALLOYS
Introduction
Phase-Field Model for Multicomponent and Multiphase Systems
Modeling of Dendritic Growth
Solute Trapping During Rapid Solidification
Comparison of Molecular Dynamics and Phase-Field Simulations
Modeling of Eutectic Growth
DENDRITE GROWTH AND GRAIN REFINEMENT IN UNDERCOOLED MELTS
Introduction
Solidification of Pure (One-Component) System
Solidification of Binary Alloys with Constitutional Effects
Solidification of a Ternary Alloy
Summary and Conclusion
DENDRITIC SOLIDIFICATION IN THE DIFFUSE REGINE AND UNDER THE INFLUENCE OF BUOYANCY-DRIVEN MELT CONVECTION
Introduction
The Multiphase-Field Model
Rapid Solidification in Ni98Al1Zr1
Directional Solidification with Buoyancy-Driven Interdendritic Flow
Summary and Conclusion
STATIONARY AND INSTATIONARY MORPHOLOGY FORMATION DURING DIRECTIONAL SOLIDIFICATION OF TERNARY EUTECTIC ALLOYS
Introduction
Investigations on the Eutectic Systems Ag-Cu-Zn
Investigation on the Ternary Alloy System In-Bi-Sn
Transient Growth
Summary and Conclusion
DENDRITRIC MICROSTRUCTURE, DECOMPOSITION, AND METASTABLE PHASE FORMATION IN THE BULK METALLIC GLASS MATRIX COMPOSITE Zr56Ti14Nb5Cu7Ni6Be12
Introduction
Experimental Procedures
Results and Discussion
Summary


About the Author :
Dieter M. Herlach is currently a senior scientist at the German Aerospace Center (DLR) in Cologne as Head of the working group "Undercooling of Materials" and Professor of Physics at the Ruhr-University Bochum, Germany. He gained his PhD from the Technical University Aachen in 1981 and joined the DLR two years later. In 1991 he finished his Habilitation at the Ruhr-University Bochum where he became Full Professor of Physics in 2001.
Dieter M. Herlach has been chairman of various working groups at the European Space Agency (ESA) and the German Physical Society (DPG), a consultant or honorary professor at various Chinese universities, and a visiting professor at Harvard University, USA. Professor Herlach has organized 16 workshops, symposia and conferences, is co-editor of Advanced Engineering Materials, and also has five books, four patents and over 280 journal publications to his name.