# 317.535 Nonlinear Finite Element Methods This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023W 2022W 2021W 2020W 2019W 2018W

2019W, VO, 2.0h, 3.0EC

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VO Lecture

## Learning outcomes

After successful completion of the course, students are able to:

• name and describe sources of nonlinear system behavior in the field of solid mechanics
• derive the finite-element-description for nonlinear problems from the principle of virtual work
• list and describe solution procedures for nonlinear finite element problems
• list and describe methods to determine the critical load and buckling modes for nonlinear stability problems
• name and explain different sources of nonlinear material behavior as well as to explain how the corresponding material routine is embedded within a finite element program

## Subject of course

• General description of nonlinear problems in solid mechanics
• Fundamentals of nonlinear continuum mechanics
• Derivation of the finite-element-description for nonlinear problems
• Incremental-iterative solution procedures
• Geometric nonlinearities (finite deformations)
• Nonlinear material behavior
• Nonlinear stability analysis
• Application to examples

## Teaching methods

• Theory in form of a presentation
• Discussion of problems occurring in practical applications
• Python programs to illustrate different schemes

Oral

## Course dates

DayTimeDateLocationDescription
Mon14:00 - 17:3014.10.2019 - 28.10.2019Seminarraum BE 01 VO Nonlinear Finite Element Methods
Mon14:00 - 16:1504.11.2019 - 16.12.2019Seminarraum BE 01 VO Nonlinear Finite Element Methods
Nonlinear Finite Element Methods - Single appointments
DayDateTimeLocationDescription
Mon14.10.201914:00 - 17:30Seminarraum BE 01 Introduction, Mathematical Foundation, Continuum Mechanics
Mon21.10.201914:00 - 17:30Seminarraum BE 01 Continuum Mechanics, Linear Finite Element Method
Mon28.10.201914:00 - 17:30Seminarraum BE 01 Formulation of Nonlinear FE Method
Mon04.11.201914:00 - 16:15Seminarraum BE 01 Solution Procedures
Mon18.11.201914:00 - 16:15Seminarraum BE 01 Solution Procedures, Nonlinear Elasto-Stability
Mon25.11.201914:00 - 16:15Seminarraum BE 01 Nonlinear Elasto-Stability
Mon02.12.201914:00 - 16:15Seminarraum BE 01 Material Routines, Hyperelasticity
Mon09.12.201914:00 - 16:15Seminarraum BE 01 Plasticity
Mon16.12.201914:00 - 16:15Seminarraum BE 01 Plasticity

## Examination modalities

Oral exam with a duration of about 30min including about 10min for written preparation

## Course registration

Begin End Deregistration end
13.10.2019 10:00 05.03.2020 23:00 05.03.2020 23:00

## Curricula

Study CodeObligationSemesterPrecon.Info
066 445 Mechanical Engineering Mandatory elective
Course requires the completion of the introductory and orientation phase
066 473 Chemical and Process Engineering Not specified
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management Mandatory elective
Course requires the completion of the introductory and orientation phase
066 646 Computational Science and Engineering Not specified

## Literature

No lecture notes are available.

## Previous knowledge

• Continuum mechanics of solids
• Linear finite element method

English