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Nonlinear Continuum Mechanics
Last Updated: 2026-02-05 15:05:45
Abstract
An introduction to finite deformation continuum mechanics and nonlinearmaterial behavior. Coverage of basic tensor- manipulations and calculus,descriptions of kinematics, and balance laws for momentum, energy, andentropy. Discussion of invariance principles and material responsefunctions for elastic, inelastic, and coupled field phenomena.
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, energy, entropy 7. Stress: Cauchy's theorem 8. Stress: alternative measures 9. Invariance: observer 10. Material Response: elasticity, viscoelasticity, thermoelasticity
Resources
Lecture Notes
none
Literature
Recommended texts: (1) Nonlinear solid mechanics, G.A. Holzapfel (2000). (2) An introduction to continuum mechanics, M.E. Gurtin (1981). (3) Continuum Mechanics, P. Chadwick (1999).
General Information
- Language
- English
- Levels
- MSC
- Frequency
- Yearly recurring
Examination
- Type
- session examination
- Mode
- oral 30 minutes
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture | Nonlinear Continuum Mechanics |
|
2 h weekly |
| exercise |
Nonlinear Continuum Mechanics
Zeit und Ort nach Vereinbarung
|
No time listed | 1 h weekly |
Offered In
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Application Area (only necessary for MSc in Applied Mathematics)
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