Continuum Mechanics

Contact

Ruhr University Bochum

Mechanics of Materials
Building IC Room 03-713
Universitaetsstrasse 150
44801 Bochum
Germany

Phone: +49 (02 34) 32 - 26025 Fax: +49 (02 34) 32 - 14154 Email: mechmat(at)rub.de

Postal Address

Ruhr University Bochum
Mechanics of Materials
Building IC Postbox 15
44780 Bochum
Germany

Continuum Mechanics (SoSe 2023)

Lecturers: Prof. Dr. Klaus Hackl
Course id, hours/week, CP: 126502, 4 h/week, 6 CP
Frequency of occurrence: every summerterm
Study programmes: MSc-CE, MSc-MB
Time/place: Tue 08:00 - 10:00 h, IC 04-410
Thu 14:00 - 16:00 h, IC 03-112
For the first time: Tue, 04.04.2023
Examinations: Written exam, 120 minutes
Next exam date:: Please note the announcement of the examination office

Content

The course starts with an introduction to the advanced analytical techniques of linear elasticity theory, then moves on to the continuum-mechanical concepts of the nonlinear elasticity and ends with the discussion of material instabilities and microstructures. Numerous examples and applications will be given.

Advanced Linear Elasticity
- Beltrami equation
- Navier equation
- stress-functions
- scalar- and vector potentials
- Galerkin-vector
- Love-function
- solution of Papkovich - Neuber
Nonlinear Deformation
- Strain tensor
- Polar descomposition
- stress-tensors
- equilibrium
- strain-rates
Nonlinear Elastic Materials
- Covariance and isotropy
- Hyperelastic materials
- constrained materials
- Hypoelastic materials
- objective rates
- material stability
- microstructures