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TMHL62/The Finite Element Method; advanced course,
/Finita Elementmetoden FEM, fortsättningskurs, 6hp/

For: M

Detailed information for the course vt1 2018
Course information
Computer Exercise 1
Computer Exercise 2
Computer Exercise 3
Computer Exercise 4
Computer Exercise 5
The TRINITAS Project
The TRINITAS Visual Studio Environment
Fortran Visual Studio Training Environment
Previous Exams

Prerequisites:
TMHL02 + TMHL09 or TMHL07, TMHL08, TMHL03, TMHL61, TMHL41

Aim
The purpose of the course is to provide extensive, in-depth knowledge of the Finite Element Method (FEM). The essential goal is to give the student the understanding of the applicability, implementation, use and limitations of the method so that it can be used critically and in such a manner that the numerical behavior in the method can be explained using a well substantiated theory formulation.

Organisation
Teaching is in the form of lectures, classes and laboratory exercises.

Content
Finite-element formulation of second- and fourth-degree one dimensional boundary-value problems by means of weak formulation and a Galerkin approximation. Manual calculation of bar and beam problems using the above formulatlion. FEM formulation of second-degree multidimensional boundary-value problems applied to linear elasticity. Isoparametric formulation. Stress calculations. Numerical and computer aspects. Assembly, storage and solution of rigidity equations. Patch tests and Conditioning numbers. Support reactions, Substructure techniques, prescribed displacements and transformations. Adaptivity. Contact problems, Linear stability, Geometric non-linearity, Newton's method.

Literature
Cook, R. D.: Concepts and applications of Finite Element Analysis, (4:ed), Wiley, 1981

Assessment
One written examination
Three project tasks

Contact
Bo Torstenfelt


Page responsible: Bo Torstenfelt
Last updated: 2018-01-22