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Faculty of Civil Engineering

ECTS Course Overview



Finite Element Method

* Exchange students do not have to consider this information when selecting suitable courses for an exchange stay.

Course Unit Code228-0312/02
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Choice-compulsory
Level of Course Unit *Second Cycle
Year of Study *
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionEnglish
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
BRO12prof. Ing. Jiří Brožovský, Ph.D.
HOR0218Ing. Marie Horňáková, Ph.D.
Summary
In this subject is focused on use of the Finite Element Method for numerical modeling of problems of statics, non-linear statics and dynamics in the civil engineering. Main principles of heat transfer analysis in civil engineering problems are also given. The practical part of the subject is based on solution of sample problems with use of software.
Learning Outcomes of the Course Unit
Understanding of the method principles. Ability to define boundary conditions and loads, ability to select the proper model for problems of statics, non-linear statics, dynamics and heat transfer in civil engineering problems.
Course Contents
- 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.
Recommended or Required Reading
Required Reading:
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
KOLÁŘ, Vladimír, Ivan NĚMEC a Viktor KANICKÝ. FEM: principy a praxe metody konečných prvků. Praha: Computer Press, 1997. ISBN 80-7226-021-9.

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.
Recommended Reading:
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.
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.
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Tasks are not Defined