151-0528-00L  Theory of Phase Transitions

SemesterFrühjahrssemester 2021
DozierendeL. Guin, D. Kochmann
Periodizitätjährlich wiederkehrende Veranstaltung


151-0528-00 GTheory of Phase Transitions3 Std.
Di10:15-12:00ML H 34.3 »
14:15-15:00ML J 37.1 »
L. Guin, D. Kochmann


KurzbeschreibungThis 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.
LernzielThe 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.
Inhalt1. 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
SkriptLecture notes will be provided for reference. Students are strongly encouraged to take their own notes during class.
LiteraturNo textbook required; relevant reference material will be suggested.
Voraussetzungen / BesonderesContinuum Mechanics I. Having taken or taking Continuum Mechanics II in parallel would be helpful.


Information zur Leistungskontrolle (gültig bis die Lerneinheit neu gelesen wird)
Leistungskontrolle als Semesterkurs
ECTS Kreditpunkte4 KP
PrüfendeL. Guin, D. Kochmann
RepetitionDie Leistungskontrolle wird in jeder Session angeboten. Die Repetition ist ohne erneute Belegung der Lerneinheit möglich.
Prüfungsmodusmündlich 60 Minuten
Zusatzinformation zum PrüfungsmodusThe oral final exam (taking place during the examination session) covers all contents of this course, including lectures, exercises, homework. It counts 50% towards the final grade. It lasts 60 min including 30 min of preparation time and 30 min of examination. All notes are allowed during the final exam.

Additionally, there will be a compulsory continuous performance assessment in the form of four projects:
- Two assignments involving theoretical/analytical derivations.
- One numerical project based on the phase-field method involving programming in matlab.
- A review of a research article that involves writing a 1 to 2 page report and giving a 10 min presentation during class.

Out of the four projects, at least three must be submitted two weeks after assignment. The best three submitted projects count 50% towards the final grade (16.7% each).

Lastly, optional short exercises will be proposed during the semester as learning tasks. Completing and handing in four of them will give a bonus of 0.25 points to the final grade.

All notes are allowed during the final exam.
Diese Angaben können noch zu Semesterbeginn aktualisiert werden; verbindlich sind die Angaben auf dem Prüfungsplan.


Keine öffentlichen Lernmaterialien verfügbar.
Es werden nur die öffentlichen Lernmaterialien aufgeführt.


Keine Informationen zu Gruppen vorhanden.


Keine zusätzlichen Belegungseinschränkungen vorhanden.

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