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SE1025 FEM for Engineering Applications 6.0 credits

FEM för ingenjörstillämpningar

This is a continuation course in solid mechanics, providing the basic knowledge in the finite element method (FEM). FEM has developed into one of the most important tools for modelling and simulation of engineering systems.

  • Educational level

    First cycle

  • Academic level (A-D)

    C

  • Subject area

    Techonology

  • Grade scale

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

Course offerings

Spring 13 FEM Ing for programme students

Autumn 13 FEM Ing for programme students

Learning outcomes

The participant should after the course be able to

- describe energy principles in solid mechanics.

- explain the meaning of and requirements on an approximating function in the FEM method.

- formulate FEM equations for engineering problems by use of a weak formulation in general.

- formulate FEM equations for elasto-static and thermal problems in particular.

- formulate boundary conditions elasto-static and thermal problems.

- describe how a finite element program is designed and the kind of in-put data that is needed to solve a practical problem.

- use a commercial FEM program to solve elasto-static and thermal problems.

Course main content

Introduction of energy methods, strong and weak formulation for analysis of boundary value problems. Approximating functions for the finite element method. One, two and three dimensional isoparametric elements. Formulation of FEM equations for elasto static and thermal problems. Constraints, Convergence and accuracy. Solution of problems by use of commercial FEM programs.

Eligibility

Mathematics I and II, Mechanics and introductory course in
Strength of materials and solid mechanics.

Prerequisites

Basic course in solid mechanics SE1010, SE1012, SE1020, SE1055 or the equivalent

Literature

G.R. Liu and S.S. Quek (2003) The Finite Element Method: A Practical Course. Butterworth-Heinman, Oxford.

H. Lundh, Grundläggande Hållfasthetslära (in Swedish), KTH, Hållfasthetslära , 2004

Examination

  • HEM1 - Home Work, 1.5 credits, grade scale: P, F
  • LAB1 - Laboratory Work, , grade scale: P, F
  • TEN1 - Examination, 4.5 credits, grade scale: A, B, C, D, E, FX, F

Requirements for final grade

Written exam (TEN; 4,5 university credits)
Home assignments (HEM; 1,5 university credits)
Lab work (LAB; 0 university credits)

Offered by

SCI/Solid Mechanics

Examiner

Bo Alfredsson <alfred@kth.se>

Add-on studies

Advanced courses in solid mechanics.

Version

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