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Instructors: Prof. Dr. rer. nat. Oliver Weeger
Event type:
Lecture
Org-unit: Dept. 16 - Mechanical Engineering
Displayed in timetable as:
Multiscale Methods
Subject:
Crediting for:
Hours per week:
2
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Digital Teaching:
Depending on the Covid 19 situation, the course will be organized in a blended learning format. Learning units with videos, slides, tutorials, and other materials are provided in the Moodle course. Additionally, there will be a weekly interactive lecture session on Tuesdays at 12:45-14:15 for reviews, (group) exercises, and questions. Depending on the pandemic situation and rules, this session will be held in presence (room S4|10-314, Dolivostr. 15) or via Zoom. Please register for the course via TUCaN and Moodle for more information.
Course Contents:
- Fundamental concepts of mathematical modeling 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.
Literature:
T. Zohdi & P. Wriggers: "An Introduction to Computational Micromechanics", Springer, 2008
D. Gross & T. Seelig: "Bruchmechanik. Mit einer Einführung in die Mikromechanik", Springer Vieweg, 2016
M. Kachanov & I. Sevostianov: "Micromechanics of Materials, with Applications", Series: Solid Mechanics and Its Applications, Vol. 249, Springer 2018
Preconditions:
Basic knowledge of numerical methods, elasticity / continuum mechanics, or the finite element method is advantageous
Expected Number of Participants:
12
Further Grading Information:
Oral examination (30 minutes)
Additional Information:
Usability of this module:
- Master Mechanical Engineering & Aerospace Engineering (Electives Area II resp. III)
- Master Computational Engineering (Electives Areas II & III)
- Master Mechanics (Electives Area C)
Sustainability Reference of the Course Contents:
Applicability on biologically-based materials and composites
Online Offerings:
moodle
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