- Euclidean vector space
- covariant and contravariant coordinates
- vector and tensor algebra in curvilinear coordinates
- covariant derivatives, vector and tensor analysis
- membrane and bending theory for shells
Module MV-TM-100-M-4
Selected Topics of Mechanics (M, 3.0 LP)
Module Identification
Module Number | Module Name | CP (Effort) |
---|---|---|
MV-TM-100-M-4 | Selected Topics of Mechanics | 3.0 CP (90 h) |
Basedata
CP, Effort | 3.0 CP = 90 h |
---|---|
Position of the semester | 1 Sem. in SuSe |
Level | [4] Bachelor (Specialization) |
Language | [DE] German |
Module Manager | |
Lecturers | |
Area of study | [MV-LTM] Applied Mechanics |
Livecycle-State | [NORM] Active |
Notice
In each summer semester, one of the courses is offered in consultation with the lecturer.
Courses
Type/SWS | Course Number | Title | Choice in Module-Part | Presence-Time / Self-Study | SL | SL is required for exa. | PL | CP | Sem. | |
---|---|---|---|---|---|---|---|---|---|---|
2V | MV-TM-86016-K-4 | Introduction to Tensor Calculus and Shell Theory
| WP | 28 h | 62 h | - | - | PL1 | 3.0 | irreg. SuSe |
2V | MV-TM-86017-K-4 | Micromechanics
| WP | 28 h | 62 h | - | - | PL1 | 3.0 | irreg. SuSe |
2V | MV-TM-86018-K-4 | Theory of Plasticity
| WP | 28 h | 62 h | - | - | PL1 | 3.0 | irreg. SuSe |
- About [MV-TM-86016-K-4]: Title: "Introduction to Tensor Calculus and Shell Theory"; Presence-Time: 28 h; Self-Study: 62 h
- About [MV-TM-86017-K-4]: Title: "Micromechanics"; Presence-Time: 28 h; Self-Study: 62 h
- About [MV-TM-86018-K-4]: Title: "Theory of Plasticity"; Presence-Time: 28 h; Self-Study: 62 h
Examination achievement PL1
- Form of examination: oral examination (30-45 Min.)
- Examination Frequency: each semester
- Examination number: 10010 ("Selected Topics of Mechanics")
Evaluation of grades
The grade of the module examination is also the module grade.
Contents
- defects in materials
- Eshelby solution for inclusions and inhomogeneities
- analytical homogenization
- numerical homogenization
- fundamentals of plastic deformation
- von Mises, Tresca, and Mohr yield surfaces
- associated and not associated flow rules
- rate dependent and rate independent plasticity
Competencies / intended learning achievements
Students are able to
- state fundamental principles of tensor calculus
- apply tensor calculus to curvilinear coordinates
- formulate and solve problems in differential geometry
- analyze shell problems via membrane and bending theory
Students are able to
- model defect in materials
- state the properties of the Eshelby solution
- apply the Eshelby solution to inclusions and inhomogeneities
- compare and apply analytical homogenization methods
- state and apply numerical homogenization methods
Students are able to
- state fundamentals of plastic deformation
- state, discuss, and apply the von Mises, Tresca, and Mohr yield surfaces
- describe and apply associated and not associated flow rules
- formulate, apply, and numerically implement rate dependent and rate independent plasticity models
Literature
- E. Klingbeil: Tensorrechnung für Ingenieure, B.I.-Hochschultaschenbuch
- D. Gross, Th. Seelig: Bruchmechanik - Mit einer Einführung in die Mikromechanik, Springer
Will be announced in the lecture.
Requirements for attendance (informal)
Basic knowledge in applied mechanics and higher mathematics
Requirements for attendance (formal)
None
References to Module / Module Number [MV-TM-100-M-4]
Module-Pool | Name | |
---|---|---|
[MV-ALL-MPOOL-6] | Wahlpflichtmodule allgemein | |
[MV-BioVT-MPOOL-6] | Wahlpflichtmodule Bioverfahrenstechnik | |
[MV-CE-MPOOL-6] | Wahlpflichtmodule Computational Engineering |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: