Table of Contents

Overview

Introduction

Solidification processes

References

PART 1 FUNDAMENTALS AND MACROSCALE PHENOMENA

Thermodynamics

Introduction

Thermodynamics of unary systems

Binary alloys

Departure from equilibrium

Exercises

References

Phase diagrams

Motivation

Binary systems

Ternary systems

Exercises

References

Balance Equations

Introduction

Mass balance

Momentum balance

Energy balance

Solute balance in multicomponent systems

Scaling

Exercises

References

Analytical solutions for solidification

Introduction

Solidification in a superheated melt

Solidification in an undercooled melt

The effect of curvature

Exercises

References

Numerical methods for solidification

Introduction

Heat conduction without phase change

Heat conduction with phase change

Fluid flow

Optimization and inverse methods

Exercises

References

PART II MICROSTRUCTURE

Nucleation

Introduction

Homogeneous nucleation

Heterogeneous nucleation

Mechanisms for grain refinement

Exercises

References

Dendritic growth

Introduction

Free growth

Constrained growth

Growth of a needle crystal

Convection and dendritic growth

Phase-field methods

Exercises

References

Eutectics, peritectics and microstructure selection

Introduction

Eutectics

Peritectics

Phase selection and coupled zone

Exercises

References

Microsegregation and homogenization

Introduction

1-D microsegregation models for binary alloys

Homogenization and solution treatment

Multicomponent alloys

Exercises

References

Macro- and microstructures

Introduction

Equiaxed grains growing in a uniform temperature field

Grains nucleating and growing in a thermal gradient

Columnar grains

Columnar-to-Equiaxed Transition

Micro-macroscopic models

Exercises

References

PART III DEFECTS

Porosity

Introduction

Governing equations

Interdendritic fluid flow and pressure drop

Thermodynamics of gases in solution

Nucleation and growth of pores

Boundary conditions

Application of the concepts

Exercises

References

Deformation during solidification and hot tearing

Introduction

Thermomechanics of castings

Deformation of the mushy zone

Hot tearing

Hot tearing criteria and models

Exercises

References

Macrosegregation

Introduction

Macrosegregation during planar front solidification

Composition field and governing equations

Macrosegregation induced by solidification shrinkage

Macrosegragation induced by fluid flow

Macrosegregation induced by solid movement

Exercises

References

About the Author

Jonathan A. Dantzig is a Professor Emeritus at the University of Illinois, Department of Mechanical Science and Engineering.





Michel Rappaz is a Professor Emeritus at the Ecole Polytechnique Fédérale de Lausanne (EPFL), Institute of Materials.