Non-linear Continuum Mechanics
Module MW0850
This Module is offered by Chair of Computational Mechanics (Prof. Wall).
This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective
sections.
Module version of WS 2013/4 (current)
There are historic module descriptions of this module. A module description is valid until replaced by a newer one.
Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.
| available module versions |
|---|
| WS 2013/4 | SS 2013 |
MW0850 is a semester module
in German language
at Bachelor’s level and Master’s level
which is offered in winter semester.
This Module is included in the following catalogues within the study programs in physics.
- Catalogue of non-physics elective courses
| Total workload | Contact hours | Credits (ECTS) |
|---|
| 150 h |
45 h |
5 CP |
Content
Nonlinear continuum mechanics is a general theory for the description of continuous bodies - regardless whether they are solids, fluids or gases - subject to forces. Especially it deals with the mathematical description of strains, stresses and the material behaviour of continuous bodies. Thereby it forms the foundation for modles of a variety of technical processes. Content: (1)Introduction into tensor calculus
(2)kinematics
(3)balance equations
(4)constitutive laws
Learning Outcome
After successful participation in the course on nonlinear continuum mechanics, studends know how to quantitatively model continous systems subject to the laws of Newtonian mechanics. Furthermore they understand fields such as engineering mechanics and fluid mechanics, which are dealt with in depth in other courses, as special cases of nonlinear continuum mechanic and have the theoretical foundation for advanced courses in computational mechanics such as the course "Nonlinear finite elements"
Preconditions
Axioms of Newton mechanics and basics of linear algebra; basic knowledge in engineering mechanics is recommended, but not imperative
Courses and Schedule
Learning and Teaching Methods
Oral presentation with tablet PC, especially important content is written on the tablet PC during the lecture so that students can transcribe them to the empty boxes in their lecture notes. Exercises deal with examples and demonstrate solution strategies for typical problems in nonlinear continuum mechanics. Important aspects of the lecture are emphasized. In addition to that volontary homework sheets with solution can be downloadad. All slides from the presentations in lecture and exercise can be downloadad
Media
Oral presentation with tablet laptop, lecture notes with boxes to be filled during the lecture, teaching material can be downloaded
Literature
(1) lecture notes with references to standard literature in the field of nonlinear continuum mechanics
Description of exams and course work
The examination is taken in written form (90 min) and consists of a mixture of knowledge requests and arithmetic problems, which test the understanding of special phenomena and the capability of the application of special methods for the quantitative description of nonlinear continuum mechanics. The whole content of the lecture is subject of the exam.
Allowed aids will be announced during the lecture.
Exam Repetition
There is a possibility to take the exam in the following semester.