Course - Finite Element Methods in Engineering Science - TKT4145
TKT4145 - Finite Element Methods in Engineering Science
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | D |
Course content
The course includes finite element discretization via weak form formulation of various differential equations for multi-physics problems. The main applications are 2- and 3-dimensional field problems in heat conduction and elasticity problems. Finite element formulations of diffusion problem which has relevance to hydrogen energy will also be addressed. The popular finite element program ABAQUS will be used to secure the digital competence and discussion of material section and material properties will enhance the sustainability competence.
Learning outcome
This multiphysics-oriented 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 various multiphysics problems 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 multi-purpose finite element program ABAQUS to solve a number of engineering problems.
General competence: Candidates should be able to understand and explain the nature and governing equations of the common engineering problems, the steps to numerically solve these problems, and critically discuss the use of the finite element method in the analysis of thermal, elasticity and diffusion problems.
Digital competence: By completing the following four mandatory digital exercises using the finite element program ABAQUS, which include 1) stress or displacement-based design of 2D truss structures, 2) 1D and 2D stationary and transient thermal analysis, 3) 2D diffusion analysis, and 4) 2D elastic stress analysis, in addition to training in programming and problem solving with Python, candidates are expected to attain adequate digital competence.
Sustainability competence: The course aims to equip candidates with essential foundational skills for creating safe designs, selecting most relevant materials, and conducting reliable analyses of multi-physics engineering problems.
Learning methods and activities
Lectures and exercises. 2/3 of the exercises approved is minimum for exam admittance. Four sets of computational exercises based on the ABAQUS program are mandatory. 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
Further on evaluation
If there is a resit examination, the examination form may be changed from written to oral.
Recommended previous knowledge
The course is based on basic courses in statics, strength of materials
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 2025
Language of instruction: English
Location: Trondheim
- Technological subjects
Department with academic responsibility
Department of Structural Engineering
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Spring ORD School exam 100/100 D INSPERA
-
Room Building Number of candidates - Summer UTS School exam 100/100 D INSPERA
-
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"