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Terminated in academic year 2020/2021

Finite element method basics

Type of study Bachelor
Language of instruction English
Code 228-0212/02
Abbreviation ZMKP
Course title Finite element method basics
Credits 5
Coordinating department Department of Structural Mechanics
Course coordinator prof. Ing. Jiří Brožovský, Ph.D.

Subject syllabus

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.

Literature

1. Cook R. D. et al., Concepts and Applications of Finite Element Analysis, John Wiley & Sons, 1989

Advised literature

1. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005
2. Cook R. D. , Finite Element Modeling for Stress Analysis, John Wiley & Sons, 1995