- Non-linear phenomena in mechanics
- Continuum description of elastic materials at finite deformations
- The weak form of equilibrium in the reference configuration as well as in the current configuration
- Linearization
- Isoparametric concept
- Discretization in the reference configuration as well as in the current configuration
- Implementation of Von-Mises plasticity at small strains
- Time integration of internal variables
- Iterative solution strategies for time-independent, non-linear problems
Module MV-TM-143-M-4
Non-linear Finite Elements (M, 6.0 LP)
Module Identification
Module Number | Module Name | CP (Effort) |
---|---|---|
MV-TM-143-M-4 | Non-linear Finite Elements | 6.0 CP (180 h) |
Basedata
CP, Effort | 6.0 CP = 180 h |
---|---|
Position of the semester | 1 Sem. in WiSe |
Level | [4] Bachelor (Specialization) |
Language | [DE/EN] German or English as required |
Module Manager | |
Lecturers | |
Area of study | [MV-LTM] Applied Mechanics |
Reference course of study | [MV-88.808-SG] M.Sc. Computational Engineering |
Livecycle-State | [NORM] Active |
Courses
Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
---|---|---|---|---|---|---|---|---|---|---|
2V+2U | MV-TM-86013-K-4 | Non-linear Finite Elements
| P | 56 h | 124 h | - | - | PL1 | 6.0 | WiSe |
- About [MV-TM-86013-K-4]: Title: "Non-linear Finite Elements"; Presence-Time: 56 h; Self-Study: 124 h
Examination achievement PL1
- Form of examination: oral examination (45-60 Min.)
- Examination Frequency: each semester
- Examination number: 10013 ("Nonlinear Finite Element Methods")
Evaluation of grades
The grade of the module examination is also the module grade.
Contents
Competencies / intended learning achievements
1. Lecture
- Students are able to classify non-linear phenomena
- Students are able to solve non-linear problems by means of the Finite Element Method
- Students understand how to perform time integration for internal variables
- Students know how to choose suitable numerical strategies for non-linear systems of equations
- Students know how to interpret the results of non-linear Finite Element computations
2. Exercise
- Students are able to derive the weak forms of non-linear differential equations
- Students are able to linearize these equations
- Students are able to program finite elements with the software DAEdalon and Matlab
- Students can interpret and analyze the results of non-linear Finite Element simulations
- Students are able to explain and discuss their results and implementations to other participants
Literature
- Bathe: Finite Element Methoden, Springer
- Belytschko, Liu, Moran: Nonlinear Finite Elements for Continua and Structures, Wiley 2000
- Crisfield: The Finite Element Method - Non-linear Finite Element Analysis of Solids and Structures, Wiley 1991
- Hughes: The Finite Element Method, Prentice Hall
- Wriggers: Nichtlineare Finite-Element-Methoden, Springer
- Zienkiewicz, Taylor: The Finite Element Method: The Basis, Butterworth-Heinemann
- Zienkiewicz, Taylor: The Finite Element Method: Solid Mechanics, Butterworth-Heinemann
Requirements for attendance (informal)
Applied Mechanics, Continuum Mechanics, Non-linear Continuum Mechanics, Finite Elements
Requirements for attendance (formal)
None
References to Module / Module Number [MV-TM-143-M-4]
Course of Study | Section | Choice/Obligation |
---|---|---|
[MV-88.808-SG] M.Sc. Computational Engineering | Pflichtmodule | [P] Compulsory |
Module-Pool | Name | |
[MV-ALL-MPOOL-6] | Wahlpflichtmodule allgemein | |
[MV-MBINFO-MPOOL-6] | Wahlpflichtmodule Maschinenbau mit angewandter Informatik |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: