228-0237/02 – Introduction to Finite Element Method (ZNKP)

Gurantor departmentDepartment of Structural MechanicsCredits5
Subject guarantorprof. Ing. Jiří Brožovský, Ph.D.Subject version guarantorprof. Ing. Jiří Brožovský, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year3Semestersummer
Study languageEnglish
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFASTIntended for study typesBachelor
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 17+0

Subject aims expressed by acquired skills and competences

Understanding of basic principles of the Finite Element Method. Ability to use of this method for preparation of simple computational codes. Ability to use this method for solution of basic problems of linear structural mechanics.

Teaching methods

Lectures
Tutorials

Summary

In this subject there are introduce the basic principles of the Finite element method. There are introduced energy principles and their use in structural mechanics problems. The Ritz Method and its relations to the Finite Element Method is explained. Derivation of stiffness matrices of simple finite elements is given. Principles of computational model preparation and of result analysis are discussed. The practical part of the subject is based on preparation of simple computational code in a high-level computational language by students and on use of this code for solution of simple problems of structural mechanics.

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. Russell C. Hibbeler, Structural Analysis (10th Edition), 736 pages, 2017, ISBN-13: 978-0134610672, ISBN-10: 0134610679.

Recommended literature:

HUGHES, Thomas J. R. The finite element method: linear static and dynamic finite element analysis. Mineola, NY: Dover Publications, 2000. ISBN 978-0486411811. Zienkiewicz, O. C., Taylor, R. L., Zhu: The Finite Element Method: Its Basics and Fundamentals, Butterworth-Heinemann, Burlinghton, 2005

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:

- Introduction, theory of elasticity in 3D. - Energy principles, Ritz method. - Introduction to Finite Element Method (FEM), - Finite element for 1D problems. - Finite element for plane problem. - Finite element for thin slabs. - Finite element for solids. - Isoparametric finite elements - part 1. - Isoparametric finite elements - part 2. - FEM in structural dynamics. - FEM in heat transfer problems. = FEM in non=linear structural mechanics. = FEM=based software.

Conditions for subject completion

Part-time form (validity from: 2019/2020 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  33 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 (B0732A260002) Civil Engineering (S03) Building Structures K English Ostrava 3 Compulsory study plan
2024/2025 (B0732A260002) Civil Engineering (S03) Building Structures P English Ostrava 3 Compulsory study plan
2023/2024 (B0732A260002) Civil Engineering (S03) Building Structures P English Ostrava 3 Compulsory study plan
2023/2024 (B0732A260002) Civil Engineering (S03) Building Structures K English Ostrava 3 Compulsory study plan
2022/2023 (B0732A260002) Civil Engineering (S03) Building Structures P English Ostrava 3 Compulsory study plan
2022/2023 (B0732A260002) Civil Engineering (S03) Building Structures K English Ostrava 3 Compulsory study plan
2021/2022 (B0732A260002) Civil Engineering (S03) Building Structures K English Ostrava 3 Compulsory study plan
2021/2022 (B0732A260002) Civil Engineering (S03) Building Structures P English Ostrava 3 Compulsory study plan
2020/2021 (B0732A260002) Civil Engineering (S03) Building Structures P English Ostrava 3 Compulsory study plan
2020/2021 (B0732A260002) Civil Engineering (S03) Building Structures K English Ostrava 3 Compulsory study plan

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