Course - Finite Element Methods in Engineering Science - TKT4145
TKT4145 - Finite Element Methods in Engineering Science
About
Examination arrangement
Examination arrangement: Written examination
Grade: Letters
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| Written examination | 100/100 | 4 timer |
Course content
The course includes finite element discretisation via weak form formulation of various engineering differential equations. The main applications are 2- and 3-dimensional field problems in heat conduction and elasticity problems. Finite element formulations of fluid mechanics problem will also be addressed. Multiphysics finite element program COMSOL will be used.
Learning outcome
Based on Mechanics I, II and some elementary knowledge about fluid flow, this course gives a detailed introduction to the finite element methods used for solving different field problems in engineering science and multiphysics domains, including structural, heat transfer as well as fluid mechanics problems. Formulation, understanding and practice of the finite element methods will be emphasized.
Finite element method for engineering sciences has the following objectives:
Knowledge:
Candidates will learn the knowledge of
- Formulations for 1D, 2D and 3D stress problems
- Formulations for heat transfer and fluid mechanics problems
- Strong form, weak form and Galerkin method
- Interpolation functions for various elements
- Iso-parametric elements
- Stiffness matrix and load vectors
- Numerical integration methods
- Convergence criterion
- Analysis of finite element analysis results
- Structure of a finite element program
Skills:
Candidates will be able to:
- Use the Galerkin method to derive the finite element equation for a given differential equation
- Derive the stiffness matrix and load vectors of 1D elements in detail
- Derive the load vectors for plane elements
- Establish interpolation functions for simple elements
- Build the global stiffness matrix equations based on single element equation
- Use COMSOL program to solve simple engineering problems
General competence:
Candidates:
- Know the fundamentals of finite element methods for solving engineering problems
- Understand how the finite element calculations were carried out
- are able to critically review the finite element results obtained
Learning methods and activities
Lectures and exercises. 2/3 of the exercises approved is minimum for exam admittance. A computer exercise based on the COMSOL program is mandatory. If there is a resit examination, the examination form may be changed from written to oral. Lectures, exercises and examination papers will be given in English only. Students are free to choose Norwegian or English for written assessments.
Compulsory assignments
- Exercises
Recommended previous knowledge
The course is based on basic courses in statics, strength of materials, and continuum mechanics (TKT4124 Mechanics 3).
Course materials
N. Ottosen & H. Pettersson: Introduction to the Finite Element Method (preliminary);
Jacob Fish and Ted Belytschko: A First Course in Finite Elements;
Zhiliang Zhang: Finite Element Method Lecture notes.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| SIO1077 | 7.5 |
No
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: SPRING 2015
Language of instruction: English
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- Technological subjects
Department with academic responsibility
Department of Structural Engineering
Examination
Examination arrangement: Written examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD Written examination 100/100 2015-05-16 09:00
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Room Building Number of candidates
Examination arrangement: Oral examination
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Summer KONT Oral examination 100/100 2015-08-07
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"