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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 level

    Second cycle

  • Academic level (A-D)

    D

  • Subject area

  • Grade scale

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

Course offerings

Autumn 13 TTEMM, TAEEM for programme students

  • Periods

    Autumn 13 P1 (7.0 credits)

  • Application code

    50815

  • Start date

    2013 week: 36

  • End date

    2013 week: 44

  • Language of instruction

    English

  • Campus

    KTH Campus

  • Number of lectures

    22 (preliminary)

  • Number of exercises

  • Tutoring time

    Daytime

  • Form of study

    Normal

  • Number of places

    No limitation

  • Schedule

    Schedule (new window)

  • Course responsible

    Gunnar Tibert

  • Teacher

    Gunnar Tibert <tibert@kth.se>

  • Target group

    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.

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 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

Eligibility

The course supposes previous knowledge in finite element theory.

Prerequisites

A course in linear finite element analysis and Matlab programming knowledge

Literature

Lecture notes.

Examination

  • 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)

Offered by

SCI/Mechanics

Contact

Gunnar Tibert

Examiner

Gunnar Tibert

Supplementary information

Final exam is an oral exam schedule within the first two weeks of the course.

Version

Course plan valid from: Autumn 07.
Examination information valid from: Autumn 07.