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Methode der Finiten Elemente I (MB-108)

Finite Element Methods I (5-1)

Announcements

Due to the current situation, this course will be given online. All materials and further information will be provided in this Moodle course on the Moodle platform of TU Dortmund University. In order to obtain the password for the course, please send an e-mail with the subject "Anmeldung FEM1" to using your TU Dortmund Unimail-Account (only ...@tu-dortmund.de, not ...@udo.edu).

If you do not yet have an user account for Moodle (or TU Dortmund in general), but were accepted for the masters program, please write a short e-mail including your full name to or in order to receive the important information until you get your account data.

 

Contents

Nowadays, the Finite Element Method (FEM) represents one of most widespread calculation methods in modern engineering. It helps even the way of looking at problems regarding different physical-technical procedures. The concept of Finite Element Method consists of a numerical procedure for the approximate solution of linear and non-linear (initial) boundary value problems which are typically formulated through partial differential equations.

The lectures focus on the following subjects:

  • Strong and weak form of balance equations (balance of linear momentum, heat conduction problem, ...)
  • Polynomial interpolation and shape functions
  • Discretisation of the weak form
  • Connectivity/Assembly
  • Master element concept
  • Numerical integration
  • Matrix representation
  • Elastodynamics

In the exercises, the focus is placed on:

  • Applications of the lecture's content
  • Programming in Python

 


Organisation

Lectures

Semester

Lecturer

Time Slots

Location

First date

WS

2020/21

Prof. Dr.-Ing. Andreas Menzel

Wednesday, 12:15-13:45

Zoom-meeting

04.11.2020

Exercises

Semester

Time Slots

Location

First date

WS

2020/21

Friday, 12:15-13:45

Zoom-meeting

06.11.2020

All Materials and information are provided in the moodle course.

 


Literature

German literature:

  • D. Gross, W. Hauger, W. Schnell & P. Wriggers. Technische Mechanik IV. Springer, 2004. (available free of charge from the TU Dortmund internal network)

English literature:

 


Equivalence

This course corresponds to module MB-108 according to MPO2019/2020 and to module 5-1 according to MMT Module description, in older MPOs it is part of module 18/1. In case of more detailed questions of equivalence please contact the Studienkoordination.