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Finite Element Method

Type of study Follow-up Master
Language of instruction English
Code 228-0312/02
Abbreviation MKP
Course title Finite Element Method
Credits 5
Coordinating department Department of Structural Mechanics
Course coordinator prof. Ing. Jiří Brožovský, Ph.D.

Subject syllabus

- Introduction, force method and displacement method.
- Energy methods, basic principles of FEM.
- Relationship between FEM and displacement methods.
- Example of deriving a finite element stiffness matrix.
- Isoparametric finite elements.
- Accuracy and convergence of FEM solutions.
- Idealization of computational models, influence on results.
- Nonlinear analysis with FEM.
- Physical nonlinearity - plasticity.
- Stability, imperfections and geometric nonlinearity.
- Contact tasks.
- Structure dynamics problems.
- Modeling of heat conduction.
- Coupled analysis with FEM.

Literature

ZIENKIEWICZ, O. C., Robert L. TAYLOR a J. Z. ZHU. The finite element method: its basis and fundamentals. Seventh edition. Amsterdam: Elsevier, Butterworth-Heinemann, 2013. ISBN 978-1856176330 .

GERE, J. M., TIMOSHENKO, S. P.: Mechanics of materials, Brooks/Cole
Publishing Company, USA, 2000

Doporučená literatura

BATHE, Klaus-Jürgen. Finite element procedures in engineering analysis. Englewood Cliffs, N.J.: Prentice-Hall, c1982. ISBN 978-0133173055 .

HUGHES, Thomas J. R. The finite element method: linear static and dynamic finite element analysis. Mineola, NY: Dover Publications, 2000. ISBN 978-0486411811 .