FEM Applications

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Course Unit Code330-0517/01
Number of ECTS Credits Allocated4 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech, English
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
POR05doc. Ing. Zdeněk Poruba, Ph.D.
MAW007Ing. Pavel Maršálek, Ph.D.
The subject extends the students abilities to solve the technical problems via
computer modelling. The basic tool is the finite element method and appropriate
application software (Ansys). The subject is focused to these areas of computer
modelling, not covered by other subjects. They are specially : the non-linear
problems - geometric non-linearities, contact problems, the problems of
temperature dilatation, the heat conduction and convection - the steady-state
and the transient analysis, the advanced modelling techniques, the linear
buckling, parametric optimisation.
Learning Outcomes of the Course Unit
1. Identify the problems of mechanics and to define them for FEM solutions.
2. Explain the principles of modelling and simulation by FEM, to describe their algorithms and discuss their advantages and disadvantages.
3. Apply theoretical knowledge to solving practical problems, interpret the results, modify the solution procedure.
4. Analyze and evaluate the results solved by FEM simulation in relation to the used calculation procedures and boundary conditions.
5. Discuss and evaluate the solution procedure and the results obtained by FEM analysis.
Course Contents
Geometry nonlinearity, solution matter, Newton-Raphson iterative method.
Modelling of geometry nonlinearity in program ANSYS.
Contact problems, point to point contact.
Surface to surface contact, 2D and 3D problems.
Structural-thermal problems, thermal expansion, uniform temperature distribution.
Non-uniform temperature distribution, two steps based solution.
Structural-thermal problems, multi-field based solution.
Steady-state analysis, thermal conductivity, thermal convection.
Transient analysis of thermal and/or structural problems.
Advanced technique: submodelling, substructuring, FSI.
Recommended or Required Reading
Required Reading:
Crisfield M. A. - Non-linear finite element analysis of solids and structures.
John Wiley & Sons Ltd, Baffins Lane, Chichester, 1997
1. Kolář, Kratochvíl, Leitner, Ženíšek : Výpočet plošných a prostorových
konstrukcí MKP, SNTL , Praha 1979.
2. Bittnar, Řeřicha : MKP v dynamice konstrukcí, SNTL, Praha 1981.
3. Horyl,P. : Úvodní kapitoly MKP, pomocné texty, kat. 337, VŠB Ostrava, 1992.
4. Bittnar, Šejnoha: Numerické metody mechaniky, vyd. ČVUT, Praha 1992.
5. Manuály programu ANSYS v elektronické formě
6. Petruška, J. Počítačové metody v mechanice II . ( přístupno na adrese:
http://www.umt.fme.vutbr.cz/SKRIPTA/petruska/PocitacovaMechanikaII.pdf )

Recommended Reading:
Crisfield M. A. - Non-linear finite element analysis of solids and structures.
John Wiley & Sons Ltd, Baffins Lane, Chichester, 1997
Planned learning activities and teaching methods
Individual consultations, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit35 20
        ExaminationExamination65 16