Course MV-TM-86006-K-7
Non-linear Continuum Mechanics (2V, 3.0 LP)
Course Type
SWS | Type | Course Form | CP (Effort) | Presence-Time / Self-Study | |
---|---|---|---|---|---|
2 | V | Lecture | 3.0 CP | 28 h | 62 h |
(2V) | 3.0 CP | 28 h | 62 h |
Basedata
Contents
Kinematics
- Deformation
- Time-derivatives
- Strain
- Objectivity
Balance laws
- Reynold‘s theorem
- General form of a balance law
- Balance of mass
- Balance of linear momentum
- Balance of angular momentum
- Balance of energy and entropy
- Second law of thermodynamics
Constitutive Laws
- General form
- Simplifications
- Thermo-elastic and hyperelastic materials
- Fluids
Competencies / intended learning achievements
- Students are familiar with tensor calculus
- Students are able to explain the kinematics of finite deformations
- Students know fundamental kinematic quantities and can interpret them
- Students understand the concept of objectivity
- Students know the basic balance laws, their implications and the difference between their local and global forms
- Students understand the need for and the character of material laws
- Students are familiar with typical material laws and their implications
Literature
- W. Becker, D. Gross; Mechanik elastischer Körper und Strukturen; Springer Berlin; ISBN: 3-540-43511-5
- R. Kienzler, R. Schröder; Einführung in die Höhere Festigkeitslehre; Springer Berlin; ISBN: 3-540-89324-5
- L. E. Malvern; Introduction to the Mechanics of a Continuous Medium; Prentice Hall; ISBN: 0-134-87603-0
- R. W. Ogden; Non-Linear Elastic Deformations; Dover Pubn Inc; ISBN-10: 0-486-69648-0
- P. Haupt; Continuum Mechanics and Theory of Materials; Springer Berlin; ISBN: 3-540-43111-X
- R. Greve; Kontinuumsmechanik: Ein Grundkurs für Ingenieure und Physiker; Springer; ISBN: 3-540-00760-1
- Y. C. Fung, P. Tong; Classical and Computational Solid Mechanics; World Scientific Publishing Company; ISBN-10: 9-810-24124-0
- G. A. Holzapfel; Nonlinear Solid Mechanics: A Continuum Approach for Engineering; Wiley; ISBN-10: 0-471-82319-8
- Altenbach, H. Altenbach; Einführung in die Kontinuumsmechanik; Teubner Studeinbücher Mechanik; ISBN: 3-519-03096-9
- A.J.M. Spencer; Continuum Mechanics; Dover New York; ISBN 0-486-43594-6
- M.E. Gurtin; An Introduction to Continuum Mechanics; Academic Press San Diego; ISBN: 0-12-309750-9
- I-S. Liu; Continuum Mechanics; Springer Berlin; ISBN: 3-540-43019-9
Materials
Blackboard/overhead, projector, slides, auxiliary sheets
Registration
Requires registration!
Requirements for attendance (informal)
Applied Mechanics, Mathematics
Requirements for attendance (formal)
None
References to Course [MV-TM-86006-K-7]
Module | Name | Context | |
---|---|---|---|
[MV-TM-M142-M-7] | Non-linear Continuum Mechanics | P: Obligatory | 2V, 3.0 LP |
[PHY-SP-4-M-7] | Schwerpunktmodul Technische Mechanik | WP: Obligation to choose | 2V, 3.0 LP |
Notes on the module handbook of the department Mechanical and Process Engineering
Ausnahmen: