Abstract
The transport-limited growth of crystals can create complex morphologies due to the occurrence of morphological instabilities and subsequent evolution of the interfaces. The phase-field method has emerged as a compact and elegant mathematical tool for the modelling and numerical simulation of such phenomena. It is based on the evolution equations of out-of-equilibrium thermodynamics, which are derived from Ginzburg-Landau free energy functionals. Interfaces are represented implicitly by profiles of suitable order parameters. This chapter will first introduce some fundamentals underlying the construction of phase-field models, and then review several phase-field models for solidification as examples for the description of complex microstructure formation processes.
| Original language | English |
|---|---|
| Title of host publication | Fundamentals |
| Publisher | Elsevier Inc. |
| Pages | 631-668 |
| Number of pages | 38 |
| Volume | 1 |
| ISBN (Electronic) | 9780444593764 |
| ISBN (Print) | 9780444563699 |
| DOIs | |
| Publication status | Published - 1 Jan 2015 |
Keywords
- Microstructure
- Modelling
- Solidification
- Thermodynamics
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