330-0536/02 – Numerical Methods of Mechanics III (MKPIII)

Gurantor departmentDepartment of Applied MechanicsCredits5
Subject guarantordoc. Ing. Martin Fusek, Ph.D.Subject version guarantordoc. Ing. Martin Fusek, Ph.D.
Study levelundergraduate or graduateRequirementCompulsory
Year1Semestersummer
Study languageEnglish
Year of introduction2021/2022Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 prof. Ing. Radim Halama, Ph.D.
MAW007 Ing. Pavel Maršálek, Ph.D.
POR05 doc. Ing. Zdeněk Poruba, Ph.D.
ROJ71 Ing. Jaroslav Rojíček, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3

Subject aims expressed by acquired skills and competences

Teach a students the basic procedures for solving of ground technical problems of continuum mechanics. Ensure understanding of teaching problems. To learn the students if they can apply gained theoretical peaces of knowledge in praxis.

Teaching methods

Lectures
Tutorials

Summary

The course follows the course Numerical Methods of Mechanics II. Extends the basics for the use of the finite element method in technical practice to the problem of stationary and non-stationary problems in the field of nonlinear mechanics. Furthermore, other numerical methods usable in problems of mechanics of flexible bodies will be discussed.

Compulsory literature:

[1] BEER,G.-WATSON,J.O. Introduction to Finite and Boundary Element Methods for Enginners. John Wiley & Sons, 1992509p.ISBN 0-471-92813-5

Recommended literature:

[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3

Way of continuous check of knowledge in the course of semester

Elaboration and defense of the project.

E-learning

Other requirements

There are no further requirements for the student.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Introduction, revision (numerical methods, modeling, linear continuum mechanics) 2. Finite element method, Finite difference method, Boundary element method - repetition of knowledge 3. Nonlinear mechanics and types of nonlinearity in mechanics - introduction 4. Methods of solving nonlinear problems - Newton-Rhapson method, Arc length method 5. Nonlinear geometries (large displacements, large deformations) - introduction, examples and their possible solutions 6. Nonlinearities geometric (large displacements, large deformations) - numerical solution 7. Material nonlinearities. - introduction, possibilities of solution 8. Material nonlinearities. - numerical solution 9. Nonlinearities of state, contact problems 10. Nonlinearities of state, contact problems. - numerical solution 11. Stability problems - linear and nonlinear loss of shape stability, introduction 12. Stability problems - numerical solution 13. Other numerical methods in continuum mechanics (MFD, MHP, mesh free methods) 14. Solving large problems (supercomputing)

Conditions for subject completion

Full-time form (validity from: 2021/2022 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 35  20
        Examination Examination 65  25
Mandatory attendence parzicipation: Zápočet a zkouška.

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2027/2028 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2026/2027 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2025/2026 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2024/2025 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2023/2024 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2023/2024 (N0715A270033) Applied Mechanics NEM P Czech Ostrava 1 Compulsory study plan
2022/2023 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2022/2023 (N0715A270033) Applied Mechanics NEM P Czech Ostrava 1 Compulsory study plan
2021/2022 (N0715A270034) Applied Mechanics NEM P English Ostrava 1 Compulsory study plan
2021/2022 (N0715A270033) Applied Mechanics NEM P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270033) Applied Mechanics NEM P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner