Course syllabus for Finite element method - solids

Course syllabus adopted 2021-02-26 by Head of Programme (or corresponding).

Overview

  • Swedish nameFinita elementmetoden - solider
  • CodeTME250
  • Credits7.5 Credits
  • OwnerMPAME
  • Education cycleSecond-cycle
  • Main field of studyMechanical Engineering, Civil and Environmental Engineering
  • DepartmentINDUSTRIAL AND MATERIALS SCIENCE
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language English
  • Application code 03130
  • Block schedule
  • Open for exchange studentsYes

Credit distribution

0112 Examination 7.5 c
Grading: TH
7.5 c
  • 14 Jan 2023 pm J
  • 05 Apr 2023 pm J
  • 16 Aug 2023 pm J

In programmes

Examiner

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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

Mechanics of solids TME235, Material mechanics MHA042, Finite element method ¿ structures TME245, or courses from other universities with the equivalent contents.

Aim

The aim is to provide the student with further understanding of the nature of the Finite Element Method (FEM), in particular its approximate character, and to provide extended skill in applying FEM to engineering problems related to solid mechanics. Hence, the course builds on knowledge acquired in continuum mechanics (mechanics of solid bodies), material modeling and the application of FEM to basic problems. Computer assignments play a key role as the means of implementing and assessing models and algorithms.

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

- carry ut goal-oriented error computation for linear as well as nonlinear problems and construct adaptive methods
- establish FE-algorithms for finite strain hyper elasticity
- formulate mixed FE-methods
- formulate FE-methods for problems involving incompressibility (elasticity)
- formulate and solve non-standard FE-problems characterized by the coupling of several physical fields (poroelasticity, thermoelasticity, electroelasticity)

Content

- Error control and adaptive methods
- Finite deformation hyperelasticity
- Contact of solid bodies
- Mixed methods, incompressible elasticity
- Multifield/coupled problems: poromechanics, thermomechanics, electromechanics

Organisation

Lectures, computer lab classes

Literature

Lecture notes by course instructor(s)

Examination including compulsory elements

Computer assignments (graded) and written final exam

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.