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SG2870 Non - Linear Finite Element Methods 7.0 credits

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Information per course offering

Course offerings are missing for current or upcoming semesters.

Course syllabus as PDF

Please note: all information from the Course syllabus is available on this page in an accessible format.

Course syllabus SG2870 (Autumn 2022–)
Headings with content from the Course syllabus SG2870 (Autumn 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

Literature and preparations

Specific prerequisites

English B / English 6

The course supposes previous knowledge in finite element theory.

Literature

You can find information about course literature either in the course memo for the course offering or in the course room in Canvas.

Examination and completion

Grading scale

A, B, C, D, E, FX, F

Examination

  • ÖVN1 - Assignments, 3.0 credits, grading scale: P, F
  • TEN1 - Examination, 4.0 credits, grading scale: A, B, C, D, E, FX, 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.

If the course is discontinued, students may request to be examined during the following two academic years.

Other requirements for final grade

Oral examination (TEN1, 4 university credits).
Exercises (ÖVN1, 3 university credits)

Examiner

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 room in Canvas

Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.

Offered by

SCI/Mechanics

Education cycle

Second cycle

Supplementary information

Final exam is an oral exam