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Instructors: Prof. Dr. rer. nat. Oliver Weeger
Event type:
Lecture
Org-unit: Dept. 16 - Mechanical Engineering
Displayed in timetable as:
Multiskalen-Methoden
Subject:
Crediting for:
Hours per week:
2
Language of instruction:
Englisch
Min. | Max. participants:
- | -
Digital Teaching:
The course is carried out in a digital teaching format in the summer term of 2021.
Lecture contents are organized in Moodle with videos, slides, and tutorial materials.
Additionally, on Tuesdays, 12:45-14:15, there will be web meetings for repetition, recess, tutorials, and questions, starting on April 13, 2021.
Course Contents:
Fundamental concepts of mathematical modelling of physical phenomena and materials over disparate length scales;
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 (homogenized constitutive models, FE2);
Linear and nonlinear multi-scale FEM for elastic two-scale problems.
Applications of multiscale modeling and simulation in mechanics for material modeling and development, composites, metamaterials, and lattice structures;
Literature:
T. Zohdi & P. Wriggers: "An Introduction to Computational Micromechanics", Springer, 2008
G. Panasenko: "Multi-scale Modelling for Structures and Composites", Springer, 2005
Y. Efendiev & T. Y. Hou: "Multiscale Finite Element Methods: Theory and Applications", Springer, 2009
D. Gross & T. Seelig: "Bruchmechanik. Mit einer Einführung in die Mikromechanik", Springer Vieweg, 2016
Preconditions:
Basic knowledge of "Introduction to the Finite Element Method" is advantageous
Expected Number of Participants:
10-15
Further Grading Information:
Oral examination
Additional Information:
Usability of this module:
- Master Mechanical Engineering (Electives Area II)
- Master Computational Engineering (Electives Areas II & III)
- Master Mechanics (Electives Area C)
Online Offerings:
moodle
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