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 for current semester as well as for previous and coming semesters
Headings with content from the Course syllabus SG2870 (Spring 2022–) are denoted with an asterisk ( )

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.

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

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 SG2870

SCI/Mechanics

Main field of study

This course does not belong to any Main field of study.

Second cycle