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Introduction to FEM

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Course Unit Code330-0310/04
Number of ECTS Credits Allocated5 ECTS credits
Type of Course Unit *Choice-compulsory type B
Level of Course Unit *First Cycle
Year of Study *Third Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
FUS76doc. Ing. Martin Fusek, Ph.D.
HAL22prof. Ing. Radim Halama, Ph.D.
Summary
The subject forms the basis for the use of finite element method in engineering practice. Contents are general formulation of continuum mechanics, fundamentals linearization, introduction to variational methods, finally FEM applications to specific types of problems of linear elasticity.
Learning Outcomes of the Course Unit
Student should learn elementary procedures for solution of elasticity and strength problems by means of finite element method (FEM). Guaranty an understanding of a discussed topic. Student will gain theoretical knowledge of FEM, which they will learn to apply at a solution of selected problems out of a technical practice.
Course Contents
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Recommended or Required Reading
Required Reading:
[1] MADENCI, E., GUVEN, I. The Finite Element Method and Applications in Engineering Using Ansys®. Springer, 2006, 686p. ISBN 978-0-387-28290-9
[2] ZIENKIEWICZ, O. C., TAYLOR,R.L. a ZHU, J.Z. The finite element method: its basis and fundamentals. 6th ed. Oxford: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0.
[1] FUSEK, Martin, ROJÍČEK, Jaroslav, Metoda konečných prvků I [online], Ostrava: VŠB-TU Ostrava, 2013, ISBN 978-80-248-3023-0, Dostupné z: http://projekty.fs.vsb.cz/463/edubase
[2] LENERT, Jiří. Úvod do metody konečných prvků. Ostrava: VŠB-Technická univerzita, 1999. ISBN 80-7078-686-8.
[3] SZWEDA, Jan, Zdeněk PORUBA, Roman SIKORA a Ondřej FRANTIŠEK. Matematika v pozadí inženýrských úloh [online]. Ostrava: VŠB-TU Ostrava, 2012 [cit. 2018-01-11]. Dostupné z: http://mi21.vsb.cz/modul/matematika-v-pozadi-reseni-inzenyrskych-uloh
[4] ZIENKIEWICZ, O. C., TAYLOR,R.L. a ZHU, J.Z. The finite element method: its basis and fundamentals. 6th ed. Oxford: Elsevier Butterworth-Heinemann, 2005. ISBN 0-7506-6320-0.
[5] LENERT,J. Základy matematické teorie pružnosti. 1. vyd. Ostrava : VŠB-TU, 1997. 96 s. ISBN 80-7078-437-7
Recommended Reading:
[1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley & Sons, 1992, 509p.ISBN 0-471-92813-5
[1] FUSEK, Martin, MKP v Nastranu a Patranu [online], Ostrava: VŠB-TU Ostrava, 2011, ISBN 978-80-248-2730-8, Dostupné z: http://projekty.fs.vsb.cz/147/ucebniopory/978-80-248-2730-8.pdf
[2] FUSEK, Martin, Týmová cvičení předmětu MKP I [online], Ostrava: VŠB-TU Ostrava, 2011, ISBN 978-80-248-2729-2, Dostupné z: http://projekty.fs.vsb.cz/147/ucebniopory/978-80-248-2729-2.pdf
[3] KOLÁŘ, Vladimír, Ivan NĚMEC a Viktor KANICKÝ. FEM: principy a praxe metody konečných prvků. Praha: Computer Press, 1997. ISBN 80-7226-021-9.
[4] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 1. Praha : Vydavatelství ČVUT, 1992. 310 s. ISBN 80-01-00855-X.
[5] BITTNAR,Z.-ŠEJNOHA,J. Numerické metody mechaniky 2. Praha : Vydavatelství ČVUT, 1992. 261 s. ISBN 80-01-00901-7.
[6] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Engineers. John Wiley & Sons, 1992, 509p.ISBN 0 471 92813 5
[7] MADENCI, Erdogan. a Ibrahim. GUVEN. The finite element method and applications in engineering using ANSYS. New York: Springer, c2006. ISBN 0-387-28289-0.
Planned learning activities and teaching methods
Lectures, Individual consultations, Tutorials, Project work
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 51