Finite element method basics

Lectures
1. Variational methods in theory of elasticity, Ritz method
2. Basic principles of the finite element method.
3. Alghoritm ot the method.
4. Frame structures.
5. Plane problem: introduction.
6. Plane problem: types of problems, solution, interpretation of results.
7. Thin slabs - introduction.
8. Thin slabs (Kirchhoff theory).
9. Thick slabs (Mindlin theory).
10. Slabs on elastic fundament.
11. Shells - introduction.
12. Shells.
13. Volumes (3D finite elements)
14. Comparison on 1D, 2D, 3D elements.

Seminaries:
1. Repeating of structural mechanics and elasticity.
2. Ritz method on beams - indroduction.
3. Ritz method.
4. Link element - basic computational procedures.
5. Link element - complex example.
6. Constant strain triangle element - preparation.
7. Constant strain triangle - plane stress problem.
8. Constant strain triangle - plane strain.
9. Direct displacement load, elastic supports - inclusion into FEM routine.
10. Direct displacement load, elastic supports - custom example.
11. Combination of more finite element types in one model.
12. Modelling of loads - comparison of approaches.
13. Individual projects - consultations.
14. Final presentation of individual projects.