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| TMHL62 | The Finite Element Method; advanced course, 4 p (sw) /Finita Elementmetoden FEM, fortsättningskurs/ Advancement level: D | |
| 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.Prerequisites: For Y4: TMHL 51 Theory of Elasticity and Continuum MechanicsCourse organization: Teaching is in the form of lectures, classes and laboratory exercises.Course 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 formulation. 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. Course literature: Cook, R.D.: Concepts and applications of Finite Element Analysis, (3:ed), Wiley, 1981. | ||
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