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Methode der Finiten Elemente I (MB - 108)

Finite Element Methods I (5-1)

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

In the exercises, the focus is placed on:

  • Introduction to commercial FE-program
  • Applications of the lecture's content
  • Programming in MATLAB


Organisation

Lectures

Semester

Lecturer

Time Slots

Location

First date

WS

2019/20

Jun. Prof. Dr.-Ing. habil. Sandra Klinge

Wednesday, 12:15-13:45

Chemie - HS 1

09.10.2019

Exercises

Semester

Time Slots

Location

First date

WS

2019/20

Friday, 12:15-13:45

MB1 - R263

11.10.2019

Materials for the first exercise can be found here.

Materials and information are provided in a moodle course. Please login here with your uni-account and subscribe to the course 'Methode der Finiten Elemente I (MB - 108)/ Finite Element Methods I (5-1)' which will be available at the beginning of the semester. The subscription password will be provided in the lecture. 


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.