BIWE-08: Multiscale Mechanics

Lecturer:

Content and qualification aim:

Multiscale modeling of composites and materials with defects and cracks
Representative Volume Elements (RVE) and unit cells
Homogenization and localization (scale transition/scale bridging)
Hierarchical and simultaneous multiscale methods
Averaging techniques
Voigt/Reuss approximations and Hashin/Shtrikmann bounds
Micromechanical solution by Eshelby
Effective field and effective medium approximation
Introduction to numerical homogenization procedures with homogeneous, periodic, and mixed boundary conditions

After having finished the module successfully students know about the multiscale modeling of composite materials and materials with defects and cracks using analytical models and approximation approaches.

Type of course:

2 hours of lectures, 1 hour of exercise per week, and self-study

Requirements for study:

Good knowledge of the content of module BIWO-02 (Continuum Mechanics, Tensor Calculus) and study competence from module BIWO-05.

Practical use of the module:

The elective module is one out of ten in the Master’s programme:
Advanced Computational and Civil Engineering Structural Studies, of which seven have to be chosen.

Requirements for the award of credits:

The credits are awarded if the module examination is successfully passed.
The module examination consists of a non-graded assignment (40 hours) and a written examination (90 min).

Credits and grades:

4 credits can be acquired for this module.
The grade for the module is the weighted arithmetic average of the module examinations. The assignment has a weight of 1 and the written examination has a weight of 2.

Frequency of module:

The module is offered every academic year (summer semester).

Workload:

The workload is 120 working hours.

Duration of the module:

1 semester

Recommended literature:

H.J. Böhm: A Short Introduction to Basic Aspects of Continuum Micromechanics
S. Nemat-Nasser, M. Hori: Micromechanics – Overall Properties of Heterogeneous Materials