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.
SE1025 FEM for Engineering Applications 6.0 credits
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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.
About course offering
For course offering
Autumn 2024 FEM Ing EN programme students
Target group
Elective for all Master programmes and all Master of Science in Engineering programmes from year 3 as long as it can be included in your programme.
Part of programme
Degree Programme in Design and Product Realisation, åk 3, AEE, Recommended
Degree Programme in Design and Product Realisation, åk 3, FOR, Conditionally Elective
Degree Programme in Design and Product Realisation, åk 3, INE, Conditionally Elective
Master's Programme, Engineering Mechanics, åk 1, Optional
Master's Programme, Engineering Mechanics, åk 1, TEMA, Conditionally Elective
Master's Programme, Engineering Mechanics, åk 1, TEMB, Mandatory
Periods
P1 (6.0 hp)Duration
Pace of study
50%
Form of study
Normal Daytime
Language of instruction
English
Course location
KTH Campus
Number of places
Places are not limited
Planned modular schedule
Course memo
Course memo is not publishedSchedule
Link to scheduleApplication
For course offering
Autumn 2024 FEM Ing EN programme students
Application code
50028
Contact
For course offering
Autumn 2024 FEM Ing EN programme students
Contact
Jonas Neumeister (jonasn@kth.se), Carl Dahlberg (carldahl@kth.se)
Examiner
No information insertedCourse coordinator
No information insertedTeachers
No information insertedContent and learning outcomes
Course contents
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.
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
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
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
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
Opportunity to raise an approved grade via renewed examination
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Offered by
Main field of study
Education cycle
Add-on studies
Advanced courses in solid mechanics.