This comprehensive and self-contained, one-stop source discusses phase-field methodology in a fundamental way, explaining advanced numerical techniques for solving phase-field and related continuum-field models. It also presents numerical techniques used to simulate various phenomena in a detailed, step-by-step way, such that readers can carry out their own code developments.
Features many examples of how the methods explained can be used in materials science and engineering applications.

The present book investigates the spacing and orientation selection in directional solidification of Aluminum and Magnesium alloys under transient growth conditions, which represent the conditions dominant in industrial casting. Dendritic spacing and morphology established during casting often sets the scales of the downstream microstructure during manufacturing of alloys. This is particularly true in emerging technologies such as twin belt casting. The mechanical and physical properties of alloys are thus highly dependent on the morphology established during solidification. It is shown both...