228-0312/01 – Finite Element Method (MKP)

Gurantor departmentDepartment of Structural MechanicsCredits5
Subject guarantorprof. Ing. Jiří Brožovský, Ph.D.Subject version guarantorprof. Ing. Jiří Brožovský, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semesterwinter
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFASTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
BRO12 prof. Ing. Jiří Brožovský, Ph.D.
HOR0218 Ing. Marie Horňáková, Ph.D.
KAW0019 Ing. Marek Kawulok
KON09 doc. Ing. Petr Konečný, Ph.D.
LEH061 Ing. Petr Lehner, Ph.D.
MIC60 Ing. Vladimíra Michalcová, Ph.D.
PAR132 Ing. Přemysl Pařenica, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2
Part-time Credit and Examination 20+0

Subject aims expressed by acquired skills and competences

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.

Teaching methods

Lectures
Tutorials

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.

Compulsory 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

Recommended literature:

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.

Way of continuous check of knowledge in the course of semester

Written and oral exam.

E-learning

Other requirements

Ability of partial self-study

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

- Úvod, silová metoda a deformační metoda. - Energetické metody, základní principy MKP. - Vztah MKP a deformační metody, možnosti kontroly výpočtů. - Příklad odvození matice tuhosti konečného prvku. - Izoparametrické konečné prvky. - Výstižnost, přesnost a konvergence řešení MKP. - Idealizace výpočetních modelů, vliv na výsledky. - Nelineární úlohy v MKP. - Fyzikální nelinearita - plasticita. - Stabilita, imperfekce a geometrická nelinearita. - Kontaktní úlohy. - Úlohy dynamiky konstrukcí. - Modelování vedení tepla. - Sdružené úlohy v MKP.

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester, validity until: 2022/2023 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)		Min. number of pointsMax. počet pokusů
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  18
        Examination Examination 65  30 3
Mandatory attendence participation: 70%

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Conditions for subject completion and attendance at the exercises within ISP: Communication with the teacher and proof of knowledge.

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2024/2025 (N0732A260003) Civil Engineering - Building Structures P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures K Czech Ostrava 1 Compulsory study plan
2024/2025 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures P Czech Ostrava 1 Compulsory study plan
2024/2025 (N0732A260003) Civil Engineering - Building Structures K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0732A260003) Civil Engineering - Building Structures P Czech Ostrava 1 Compulsory study plan
2023/2024 (N0732A260003) Civil Engineering - Building Structures K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures K Czech Ostrava 1 Compulsory study plan
2023/2024 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0732A260003) Civil Engineering - Building Structures K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0732A260003) Civil Engineering - Building Structures P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures K Czech Ostrava 1 Compulsory study plan
2021/2022 (N0732A260003) Civil Engineering - Building Structures P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0732A260003) Civil Engineering - Building Structures K Czech Ostrava 1 Compulsory study plan
2021/2022 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures K Czech Ostrava 1 Compulsory study plan
2021/2022 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures K Czech Ostrava 1 Compulsory study plan
2020/2021 (N0732A260003) Civil Engineering - Building Structures P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0732A260003) Civil Engineering - Building Structures K Czech Ostrava 1 Compulsory study plan
2019/2020 (N0732A260003) Civil Engineering - Building Structures P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0732A260003) Civil Engineering - Building Structures K Czech Ostrava 1 Compulsory study plan
2019/2020 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0732A260009) Civil Engineering - Building Materials and Diagnostics of Structures K Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction



2023/2024 Winter
2022/2023 Winter
2019/2020 Winter