Multiscale Methods in Solid Mechanics

Details on our lecture "Multiscale Methods in Solid Mechanics" (formerly "Multiscale Methods in Computational Mechanics")

Contents

  • Fundamental concepts of mathematical modelling of physical phenomena and materials over disparate time and length scales
  • Applications of multiscale modeling and simulation in mechanics for material modeling and development, composites, metamaterials and lattice structures
  • Fundamentals of continuum mechanics modeling and finite element analysis
  • Methods for coupling of micro and macro scales
  • Analytical and numerical homogenization methods based on unit cells / representative volume elements
  • Sequential and concurrent multi-scale finite element methods (domain decomposition/multigrid, homogenized constitutive models, FE2)
  • Linear and nonlinear multi-scale FEM for elastic two-scale problems.

Winter term 2025-2026

Due to Prof. Weeger's research semester, the lecture will not be offered in the winter semester 2025/26. Nevertheless, there will be oral exam appointments offered in March and April 2026, for which students can prepare using the materials provided in the Moodle course (videos, lecture slides, exercises, and supplementary materials). In addition, there will be office hours for summaries, questions and answers well in advance of the exams. Further information will be announced in the Moodle course.

Details

Lecture name Multiscale Methods in Solid Mechanics
(formerly “Multiscale Methods in Computational Mechanics”)
Module no. 16-73-3134
Term Winter
Lecturer Prof. Dr. rer. nat. O. Weeger
Responsible assistants M.Sc. Yusuf Elbadry
Credit points 4
Contact hours Lecture: 2 SWS
Recitation: 1 SWS
Start of lectures --
Lecture & recitation dates --
Room --
Language English
Examination Oral examination
Further information and
lecture notes
see TUCaN and Moodle

Usability of this module

  • Master in Mechanical Engineering (Electives Area III)
  • Master in Aerospace Engineering
  • Master in Computational Engineering
  • Master in Mechanics