# 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.

### Offering and execution

#### No offering selected

Select the semester and course offering above to get information from the correct course syllabus and course offering.

## Course information

### Content and learning outcomes

#### Course contents *

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.

#### Intended learning outcomes *

The participant should after the course be able to:

• use the concept of stored elastic energy to analyze deformations and forces in elastic structures,
• identify the degrees of freedom and boundary conditions in a discrete elastic system and solve it using matrix methods,
• formulate the FE-equations using the weak form/principle of virtual work for problems that can be described by a differential equation and give a physical interpretation of the resulting components,
• use FEM to solve problems in solid mechanics, stationary heat conduction and other simple physical phenomena, limited to 1D or 2D,
• critically examine and evaluate the results from a FEM analysis and present these in a clear and correct fashion,
• use a commercially viable FEM-program to model and solve a problem in solid mechanics and a heat conduction problem and analyze the results.

#### Course Disposition

No information inserted

### Literature and preparations

#### Specific prerequisites *

Basic course in Solid mechanics SE1010, SE1020, SE1055 or the equivalent.

#### Recommended prerequisites

Calculus in One Variable, Calculus in Several Variable and Mechanics I or the equivalent courses.

#### Equipment

No information inserted

#### Literature

G.R. Liu and S.S. Quek (2003) The Finite Element Method: A Practical Course. Butterworth-Heinman, Oxford
H. Lundh, Grundläggande Hållfasthetslära, KTH, Hållfasthetslära , 2013

### Examination and completion

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

#### Examination *

• HEM1 - Home Work, 1.5 credits, Grading scale: P, F
• LAB1 - Laboratory Work, - credits, Grading scale: P, F
• TEN1 - Examination, 4.5 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.

#### Other requirements for final grade *

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

### 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 SE1025

#### Offered by

SCI/Solid Mechanics

Technology

First cycle