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151-0833-00L 5 Credits BSC , DS , MSC D-MATH , D-MAVT
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Principles of nonlinear Finite-Element-Methods

Grundlagen der nichtlinearen Finite-Elemente-Methoden

Lecturers & Examiners: Prof. em. Dr. Pavel Hora
VVZ CR n/a

Last Updated: 2026-02-05 15:05:45

Abstract

The lecture teaches on the principles of the nonlinear Finite-Element-Methods (FEM), implicit and explicit FEM-integration procedures for quasistatic applications, modeling of coupled thermo-mechanical problems, modeling of time dependent contact conditions, modeling of nonlinear material behaviour, modeling of friction, FEM-based prediction of failure by means of cracks and crinkles.

Objective

The goal of the lecture is to provide the students with the fundamentals of the non linear Finite Element Method (FEM). The ability to independently create a virtual model which describes the complex non linear manufacturing processes is acquired with a focus on accompanying exercises.

Content

The fundamentals of continuum mechanics to characterize large plastic deformations; Elasto-plastic material models; Updated-Lagrange- (UL), Euler- and combined Euler-Lagrange (ALE) approaches; FEM implementation of constitutive equations; element formulation; implicit and explicit FEM methods; FEM formulations of coupled thermo-mechanical problems. Modeling of tool contact and the influence of friction; Solvers and convergence.

Resources

Lecture Notes

ja

General Information

Language
German
Levels
BSC , DS , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 30 minutes

Course Components

Type Title Time & Place Hours
lecture Grundlagen der nichtlinearen Finite-Elemente-Methoden
  • Fri 08:15-10:00 (ML J 34.3)
2 h weekly
exercise Grundlagen der nichtlinearen Finite-Elemente-Methoden
Die Übungen finden jeweils Freitags 14-16 Uhr in CLA F2 statt.
No time listed 2 h weekly

Offered In