Lehrinhalte
Fundamental concepts of mathematical modelling of physical phenomena and materials over disparate time and 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
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
 

Voraussetzungen
Basic knowledge of "Introduction to the Finite Element Method" is advantageous

Further Grading Information
Oral examination

Zusätzliche Informationen
Usability of this module:
- Master Mechanical Engineering (Electives Area II)
- Master Computational Engineering (Electives Areas II & III)
- Master Mechanics (Electives Area C)

Online-Angebote
moodle

Semester: ST 2022