Search course

Use the search function to find more information about the study programmes and courses available at Chalmers. When there is a course homepage, a house symbol is shown that leads to this page.

Graduate courses

Departments' graduate courses for PhD-students.

​​​​
​​

Syllabus for

Academic year
TME245 - Finite element method - structures  
Finita elementmetoden - strukturer
 
Syllabus adopted 2019-02-21 by Head of Programme (or corresponding)
Owner: MPAME
7,5 Credits
Grading: TH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail
Education cycle: Second-cycle
Major subject: Mechanical Engineering, Civil and Environmental Engineering
Department: 40 - INDUSTRIAL AND MATERIALS SCIENCE


Teaching language: English
Application code: 03126
Open for exchange students: Yes
Block schedule: C

Module   Credit distribution   Examination dates
Sp1 Sp2 Sp3 Sp4 Summer course No Sp
0111 Examination 7,5c Grading: TH   7,5c   20 Mar 2021 am J,  10 Jun 2021 pm J,  16 Aug 2021 pm J

In programs

MPAME APPLIED MECHANICS, MSC PROGR, Year 1 (compulsory elective)
MPAUT AUTOMOTIVE ENGINEERING, MSC PROGR, Year 1 (elective)
MPNAV NAVAL ARCHITECTURE AND OCEAN ENGINEERING, MSC PROGR, Year 1 (elective)
MPSEB STRUCTURAL ENGINEERING AND BUILDING TECHNOLOGY, MSC PROGR, Year 2 (compulsory elective)
MPSEB STRUCTURAL ENGINEERING AND BUILDING TECHNOLOGY, MSC PROGR, Year 1 (compulsory elective)

Examiner:

Martin Fagerström

  Go to Course Homepage


Eligibility

General entry requirements for Master's level (second cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

English 6 (or by other approved means with the equivalent proficiency level)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

A basic course on the finite element method e.g. MHA021 or VSM167

Aim

The aim of the course is to provide a deeper knowledge and increased understanding of how to apply the finite element method (FEM) to more advanced problems in solid and structural mechanics. In particular, problems involving nonlinearities, structural components (such as beams and plates) and stability analysis are considered.

Learning outcomes (after completion of the course the student should be able to)

- apply the finite element method to solve problems for structural components, such as beams and plates,
- apply the finite element method to non-linear problems, in particular for non-linearities with respect to non-linear constitutive relations (e.g. material behavior),
- evaluate and choose suitable iterative method for solving a non-linear problem,
- apply the finite element method to linearized pre-buckling theory, in terms of beams and plates,
- explain the fundamental aspects of general stability problems for a fully nonlinear problem,
- explain the inputs, connections and steps in a FEM program required for solving nonlinear problems and linearized pre-buckling stability analysis,
- implement a simple finite element code for non-linear problems and linearized pre-buckling analysis in the MATLAB software, using the finite element toolbox CALFEM,
- critically review the capabilities of commercial finite element codes,
- compute solutions to basic solid mechanics problems using the commercial FE-software ABAQUS

Content

Linear analysis of structures and solids: Beams and plates in bending. Structural (in)stability: Timoshenko quotient, LPB, buckling of frames and plates. Nonlinear analysis: Nonlinear systems of equations, iterative methods. Application to material inelasticity and nonlinear heatflow.

Organisation

The course is organized into approximately 28 h of lectures, 28 h of computer classes and 4 h of computer lab. The main theory is presented in the lectures. The main part of the computer classes is dedicated to group work with the computer assignments. However, during computer class, small size problems are solved by the instructors, exemplifying the theory. A compulsory computer lab, giving an introduction to the FE-software ABAQUS, is included in the course.

Literature

N. Ottosen and H. Petersson: Introduction to the finite element method, Prentice Hall, New York 1992
CALFEM manual, A finite element toolbox to MATLAB
Lecture notes available for downloading

Examination including compulsory elements

Three computer assignments (CA) and the written final examination are graded and give together a maximum of 36 points towards the final grade (18 points from the three CA:s and 18 points from the final exam). 20 points, together with participation in the compulsory computer lab, is required for passing grade.


Page manager Published: Thu 04 Feb 2021.