Course MV-TM-86005-K-4
Continuum Mechanics (3V+1U, 6.0 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
- | K | Lecture with exercise classes (V/U) | 6.0 CP | 124 h | |
3 | V | Lecture | 42 h | ||
1 | U | Lecture hall exercise class | 14 h | ||
(3V+1U) | 6.0 CP | 56 h | 124 h |
Basedata
Contents
- Basic concepts of (linear) continuum mechanics
- Stress and Equilibrium
- Deformation and Strains
- Material Behaviour (Linear Elastic Solid)
- Two-Dimensional Problems (Plane Strain / Plane Stress / Airy Stress Function / Problem Solution)
- Plate Theory
- Three-Dimensional Problems
- Variational Principles and Energy Methods
Competencies / intended learning achievements
1. Lecture
- Students are familiar with basic concepts and fundamental quantities of continuum mechanics
- Students are able to explain concepts of Stresses and Strains
- Students are familiar with the material behaviour of (linear) elastic materials
- Students are able to formulate boundary value problems
- Students are able to explain the deformational behaviour of plane and plate problems
- Students are able to explain and use variational principles and energy methods in order to solve boundary value problems of elastic materials
2. Assignments
- Students are familiar with basic concepts and fundamental quantities of continuum mechanics
- Students are able to explain concepts of Stresses and Strains
- Students are familiar with the material behaviour of (linear) elastic materials
- Students are able to formulate boundary value problems
- Students are able to analyse the stress and strain states of plane and plate problems
- Students are able to explain and use variational principles and energy methods in order to solve boundary value problems of elastic materials
- Students are able to explain and discuss their results and implementations to other participants
Literature
- Becker, Gross: Mechanik elastischer Körper und Strukturen, Springer
- Eschenauer, Schnell: Elastizitätstheorie I, B.I. Wissenschaftsverlag
- Gurtin: The linear theory of elasticity, Truesdell, Clifford A.
- Holzapfel: Nonlinear Solid Mechanics – A Continuum Approach for Engineering, Wiley
- Kienzler, Schröder: Einführung in die Höhere Festigkeitslehre, Springer
- Fung Tong: Classical and Computational Solid Mechanics, World Scientific
- R. Ogden: Non-linear elastic deformations, Dover Publications 1984
Materials
Slides, help sheets
Requirements for attendance (informal)
Basic knowledge of higher mathematics and
Modules:
Requirements for attendance (formal)
None
References to Course [MV-TM-86005-K-4]
Module | Name | Context | |
---|---|---|---|
[MV-TM-142-M-4] | Continuum Mechanics | P: Obligatory | 3V+1U, 6.0 LP |
[PHY-SP-4-M-7] | Schwerpunktmodul Technische Mechanik | WP: Obligation to choose | 3V+1U, 6.0 LP |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: