Courses
Summer Term 24
Prof. Dr. Schneider Digital Microstructure Characterization and Modeling
Microstructured materials - like metals, fiber-reinforced composites, concrete or foams -serve as a driving force for technological advances in industrial applications. Due to their intrinsic heterogeneity and the associated anisotropy, characterizing such materials experimentally may be prohibitively expensive. Modern imaging techniques, in-situ measuring devices and computational homogenization methods permit gaining detailed insights into microstructures and their effective material behavior.
This course provides an introduction to the theory of heterogeneous materials, discusses their characterization (e.g., based on μCT data), presents computationally efficient methods for generating digital microstructure models, and elaborates on specific material classes like porous materials, fiber-reinforced composites and polycrystalline materials.
A variety of different topics will be touched - aspects of materials science, computer science, optimization and statistics play a role.
The associated programming-based exercise sessions will start with an introduction to the programming language Python. Subsequently, participants will implement the microstructure characterization and generation methods from the lectures.
The lectures will take place every Wednesday at 12:15-13:45, starting from 17.04.2024 in V15 R03 H55.
The exercises will take place every Monday at 12:15-13:45, starting from 22.04.2024 in V15 R04 H25.
For more information, please visit the Moodle course page.
Prof. Dr. Schneider Mathematik 2 (Bauwissenschaften)
Mathematics 2 for Civil Engineers (in German). The lecture materials can be found on Moodle.
Winter Term 23/24
Prof. Dr. Schneider Computational Micromechanics
For computing effective properties of heterogeneous materials with complex microstructures, modern computational techniques are imperative. The course provides an introduction to modern numerical discretization and solution methods for computational homogenization based on the fast Fourier transform (FFT). These methods enable treating industrial-scale microstructures and nonlinear mechanical material behavior in an efficient manner.
The goal of the accompanying exercise sessions is implementing a prototypical FFT-based micromechanics solver.
Prof. Dr. Schneider Nonlinear Optimization Methods
Optimization problems are a central topic for almost any engineer. Examples include dimensioning of components, minimizing the elastic energy for the finite element method, or even modern AI and ML methods.
This course introduces the participants to the basics of nonlinear optimization of differentiable functions. An overview of different classes of optimization algorithms is presented. Participants will learn which method to apply to which specific problem in practice.
In the associated exercise sessions, solution methods discussed in the lectures will be implemented by the participants. Besides this, the use of optimization packages in Python will be practiced.
Prof. Dr. Schneider Mathematik 1 (Bauwissenschaften)
Mathematics 1 for Civil Engineers (in German). The lecture materials can be found on Moodle.
Prof. Heinrichs Previous terms
For the courses from previous terms by Prof. Heinrichs, click here.