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Continuum Mechanics 2
Last Updated: 2026-02-05 15:54:31
Abstract
An introduction to finite deformation continuum mechanics and nonlinear material behavior. Coverage of basic tensor- manipulations and calculus, descriptions of kinematics, and balance laws . Discussion of invariance principles and mechanical response functions for elastic materials.
Objective
To provide a modern introduction to the foundations of continuum mechanics and prepare students for further studies in solid mechanics and related disciplines.
Content
1. Tensors: algebra, linear operators 2. Tensors: calculus 3. Kinematics: motion, gradient, polar decomposition 4. Kinematics: strain 5. Kinematics: rates 6. Global Balance: mass, momentum 7. Stress: Cauchy's theorem 8. Stress: alternative measures 9. Invariance: observer 10. Material Response: elasticity
Resources
Lecture Notes
None.
Literature
Recommended texts: (1) Nonlinear solid mechanics, G.A. Holzapfel (2000). (2) An introduction to continuum mechanics, M.B. Rubin (2003).
General Information
- Language
- English
- Levels
- BSC , MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Continuum Mechanics 2 |
|
2 h weekly |
| exercise | Continuum Mechanics 2 |
|
1 h weekly |
Offered In
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Manufacturing Science (Focus Coordinator: Prof. Konrad Wegener To achieve the required 20 credit points for the focus specialization you need to pass all 3 compulsory courses (HS/FS). The other 8 credit points can be achieved from the elective courses.)
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Design, Mechanics and Materials (Focus Coordinator: Prof. Kristina Shea In order to achieve the required 20 credit points for the Focus Specialization Design, Mechanics and Material you are free to choose any of the courses offered within the focus and are encouraged to select among those recommended. If you wish to take one of the Master level courses, you must get approval from the lecturer.)
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Biomedical Engineering (Focus Coordinator: Prof. Bradley Nelson)
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Mechanics, Materials, Structures (The courses listed in this category “Core Courses” are recommended. Alternative courses can be chosen in agreement with the tutor.)
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Application Area (Only necessary and eligible for the Master degree in Applied Mathematics. One of the application areas specified must be selected for the category Application Area for the Master degree in Applied Mathematics. At least 8 credits are required in the chosen application area.)
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