151-0528-00L Theory of Phase Transitions
| Semester | Frühjahrssemester 2021 |
| Dozierende | L. Guin, D. Kochmann |
| Periodizität | jährlich wiederkehrende Veranstaltung |
| Lehrsprache | Englisch |
| 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. |