SG2870 Non - Linear Finite Element Methods 7.0 credits
Icke - linjära finita elementmetoder
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
Educational levelSecond cycle
Academic level (A-D)D
Grade scaleA, B, C, D, E, FX, F
PeriodsAutumn 13 P1 (7.0 credits)
Start date2013 week: 36
End date2013 week: 44
Language of instructionEnglish
Number of lectures22 (preliminary)
Number of exercises
Form of studyNormal
Number of placesNo limitation
ScheduleSchedule (new window)
Course responsibleGunnar Tibert
TeacherGunnar Tibert <email@example.com>
Master Progr. in Engineering Mechanics (TTEMM, 120 cr.)
Master Progr. in Vehicle Engineering (TFORM, 120 cr.)
Master Progr. in Infrastructure Engineering (TISEM, 120 cr.)
Degree Progr. in Civil Engineering and Urban Management (CSAMH, 300 cr.)
Degree Progr. in Mechanical Engineering (CMAST, 300 cr.)
Degree Progr. in Vehicle Engineering (CFATE, 300 cr.)
Part of programme
Information 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.
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 main content
- 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
The course supposes previous knowledge in finite element theory.
A course in linear finite element analysis and Matlab programming knowledge
- TEN1 - Examination, 4.0 credits, grade scale: A, B, C, D, E, FX, F
- ÖVN1 - Assignments, 3.0 credits, grade scale: P, F
Requirements for final grade
Oral examination (TEN1, 4 university credits).
Exercises (ÖVN1, 3 university credits)
Final exam is an oral exam schedule within the first two weeks of the course.
Course plan valid from:
Examination information valid from: Autumn 07.