151-0528-00L Theory of Phase Transitions
|Dozierende||L. Guin, D. Kochmann|
|Periodizität||jährlich wiederkehrende Veranstaltung|
|Kurzbeschreibung||This course addresses two major examples of phase transitions, namely solid-solid phase transformations and solidification. We focus on the modeling of the propagation of phase boundaries (surface of strain discontinuity or solidification front) in continuum media. Both the sharp-interface model and related numerical modeling techniques based on the phase-field method are introduced.|
|Lernziel||The students are able to:|
- Use mechanical and/or thermodynamic balance laws to formulate a continuum model for problems involving phase transformations in 1D, 2D, and 3D.
- Distinguish between the different modeling techniques used for the propagation of phase boundaries and discuss their underlying assumptions.
- Apply the concepts of thermodynamics to continuous media in order to derive thermodynamically consistent models.
- Model the evolution of a solidification front using the phase-field method.
|Inhalt||1. Mechanics of bars|
2. The Ericksen’s bar problem: solid-solid phase transformation in 1D
3. Review of classical thermodynamics
4. Continuum theory for phase boundaries in 3D
5. Solidification: a free-boundary problem with interfacial structure
6. Phase-field model for solidification
7. Selected topics involving phase transitions
|Skript||Lecture notes will be provided for reference. Students are strongly encouraged to take their own notes during class.|
|Literatur||No textbook required; relevant reference material will be suggested.|
|Voraussetzungen / Besonderes||Continuum Mechanics I. Having taken or taking Continuum Mechanics II in parallel would be helpful.|