Theoretical foundations and numerical applications of multiscale modeling in solid mechanics, from atomistics all the way up to the macroscopic continuum scale with a focus on scale-bridging methods (including the theory of homogenization, computational homogenization techniques, modeling by methods of atomistics, coarse-grained atomistics, mesoscale models, multiscale constitutive modeling).
Learning objective
To acquire the theoretical background and practical experience required to develop and use theoretical-computational tools that bridge across scales in the multiscale modeling of solids.
Content
Microstructure and unit cells, theory of homogenization, computational homogenization by the finite element method and Fourier-based techniques, discrete-to-continuum coupling methods, atomistics and molecular dynamics, coarse-grained atomistics for crystalline solids, quasicontinuum techniques, analytical upscaling methods and models, multiscale constitutive modeling, selected topics of multiscale modeling.
Lecture notes
Lecture notes and relevant reading materials will be provided.
Literature
No textbook is required. Reference reading materials are suggested.
Prerequisites / Notice
Continuum Mechanics I or II and Computational Mechanics I or II (or equivalent).
Performance assessment
Performance assessment information (valid until the course unit is held again)
The performance assessment is offered every session. Repetition possible without re-enrolling for the course unit.
Mode of examination
oral 30 minutes
Additional information on mode of examination
The final oral exam (taking place during the examination session) covers all contents of this course, including lectures, exercises, and assignments. It counts 50% towards the final grade.
Additionally, there will be a compulsory continuous performance assessment in the form of four projects to be discussed and assigned during the course of the semester. Out of the four projects, at least three must be submitted in due time. The best three submitted projects count 50% towards the final grade (16.6% each). These projects, which are integrated with the lectures and exercises, require the student to understand and apply the course material, and it involves programming in Matlab.
This information can be updated until the beginning of the semester; information on the examination timetable is binding.
Learning materials
No public learning materials available.
Only public learning materials are listed.
Groups
No information on groups available.
Restrictions
There are no additional restrictions for the registration.
Performance assessment as a semester course