Laurent Guin: Catalogue data in Spring Semester 2021 |
| Name | Dr. Laurent Guin |
| Department | Mechanical and Process Engineering |
| Relationship | Lecturer |
| Number | Title | ECTS | Hours | Lecturers | |
|---|---|---|---|---|---|
| 151-0528-00L | Theory of Phase Transitions | 4 credits | 3G | L. Guin, D. Kochmann | |
| Abstract | 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. | ||||
| Learning objective | 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. | ||||
| Content | 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 | ||||
| Lecture notes | Lecture notes will be provided for reference. Students are strongly encouraged to take their own notes during class. | ||||
| Literature | No textbook required; relevant reference material will be suggested. | ||||
| Prerequisites / Notice | Continuum Mechanics I. Having taken or taking Continuum Mechanics II in parallel would be helpful. | ||||