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151-0520-00L 4 Credits BSC , DR , MSC D-MATL , D-MAVT , D-MATH

Multiscale Modeling

Lecturers: Prof. Dr. Dennis Kochmann
Examiners: Prof. Dr. Dennis Kochmann, Dr. Konstantinos Karapiperis
Does not take place this semester.
VVZ CR n/a

Last Updated: 2026-02-05 16:39:08

Abstract

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).

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.

Resources

Lecture Notes

Lecture notes and relevant reading materials will be provided.

Literature

No textbook is required. Reference reading materials are suggested.

General Information

Language
English
Levels
BSC , DR , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes
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.

Course Components

Type Title Time & Place Hours
lecture with exercise Multiscale Modeling
Does not take place this semester.
No time listed 3 h weekly

Offered In