Short description This comprehensive and self-contained source discusses the topic in a fundamental way, such that readers can carry out their own code developments. Please find additional codes on www.wiley-vch.de/publish/en/books/bySubjectEE00/ISBN3-527-40747-2
From the contents PART I: Phase Transformation in Materials Science 1. Introduction to Phase transformations and microstructure formation in materials science 2. An example: Solidification of pure materials 3. Phase Transformations and Phenomenology of Landau 4. Phase field model for solidification in pure materials 5. Phase Transformations in binary alloys 6. Phase-field models of phase transformations in binary alloys 7. Applications to microstructure growth in binary alloys 8. Connection between phase-field and sharp-interface parameters
PART II: Elastic and Plastic Effects in Phase Transformations 1. Review of Mechanics of Materials 2. Overview of Modeling and Simulation Techniques in Mechanics 3. Phase-field Models 4. Applications: Effects of Elastic Stress on Thin Film Growth and Phase Transformations
PART III: Modeling Atomic Scale Systems using the Phase-Field Method 1. Phase field Modeling of Periodic Systems 2. Modeling Crystals with Phase Fields 3. Applications
PART IV: Numerical Solution Methods for simulating Phase-Field Models 1. Introduction to Numerical Methods for PDEs - Space Discretization 2. Iterative Methods for sparse Linear Systems 3. Numerical Methods for PDEs - Time Marching Schemes 4. Discretization of the Diffusion Equation 5. Discretization of Advection Diffusion Equations 6. Introduction to the Message Passing Interface (MPI) 7. Solved MPI Examples
