SG2870 Non - Linear Finite Element Methods 7.0 credits

The course gives the basic knowledge in finite element methods for solving geometrically non-linear problems.
The course covers the following:
- geometrical non-linear 2D bars, 2D beams and plane elements
- different strain and stress measures
- incremental solutions and convergence criteria
- path following procedures
- linearised and non-linear stability analyses
Course offering missing
Course offering missing for current semester as well as for previous and coming semestersInformation for research students about course offerings
This course is given together with the 3rd cycle course SG3088 Non-Linear Finite Element Methods for research students.
Content and learning outcomes
Course contents
- Geometrical non-linear 2D bars, 2D beams and plane elements
- Different strains and stresses
- Total and updated lagrangian formulations.
- von Mises plasticity in one and two dimensions for beam and plane elements
- Incremental solutions and convergence criteria
- Path following procedures
- Linearised and non-linear stability analyses
Intended learning outcomes
After the course, students should be able to
- derive basic non-linear 2D bars, 2D beams and plane elements using the total and updated lagrangian formulations.
- implement von Mises plasticity in one and two dimensions for beam and plane elements.
- implement displacements and arc-length path following procedures
- use the commercial fem package ANSYS to analyse non-linear problems
Course disposition
No information inserted
Literature and preparations
Specific prerequisites
English B / English 6
The course supposes previous knowledge in finite element theory.
Recommended prerequisites
A course in linear finite element analysis and Matlab programming knowledge
Equipment
No information inserted
Literature
No information inserted
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
A, B, C, D, E, FX, F
Examination
- TEN1 - Examination, 4.0 credits, grading scale: A, B, C, D, E, FX, F
- ÖVN1 - Assignments, 3.0 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Other requirements for final grade
Oral examination (TEN1, 4 university credits).
Exercises (ÖVN1, 3 university credits)
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination
No information inserted
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course web
Further information about the course can be found on the Course web at the link below. Information on the Course web will later be moved to this site.
Course web SG2870Offered by
Main field of study
This course does not belong to any Main field of study.
Education cycle
Second cycle
Add-on studies
No information inserted
Contact
Arne Nordmark
Supplementary information
Final exam is an oral exam