330-0924/01 – Numerical Methods (NUMET)

Gurantor departmentDepartment of Applied MechanicsCredits10
Subject guarantorprof. Ing. Karel Frydrýšek, Ph.D.Subject version guarantorprof. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 prof. Ing. Karel Frydrýšek, Ph.D.
FUS76 doc. Ing. Martin Fusek, Ph.D.
HAL22 prof. Ing. Radim Halama, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 25+0
Part-time Examination 25+0

Subject aims expressed by acquired skills and competences

To teach students the basics and advanced numerical approaches in mechanics with a focus on the theory and practice of solving problems with miscellaneous loadings, linear/nonlinear materials and initial and boundary conditions. Students get to know the theoretical and application approaches including computer programming and standard sw.

Teaching methods

Lectures
Seminars
Individual consultations

Summary

In this course students learn the basic theoretical and practical knowledge of numerical approaches for mechanics of deformable bodies and liquids, especially the Finite Element Method (FEM), Boundary Element Method (BEM), Central Difference Method (CDM), Finite Volume Method (FVM), Monte Carlo Method (MC), Newton-Raphson Method (NR) and its modifications etc. Programming of numerical algorithms and handling of available sw (ANSYS, MSC.MARC, MSC.NASTRAN, ANTHILL, MATLAB, MATHCAD etc.). Practical focus is mainly on statics, kinematics, dynamics, strength, elasticity, plasticity, buckling, fatigue of materials, mechanical contacts, thermomechanics, geomechanics and mechanics of liquids. Acquired knowledge are needed for success scientific work, research, development and innovations in industry.

Compulsory literature:

HALAMA, R., SEDLÁK, J., ŠOFER, M. Phenomenological Modelling of Cyclic Plasticity, Chapter in: Numerical Modelling, Peep Miidla (Ed.), InTech, 2012, p. 329-354. MADENCI, E., GUVEN, I. The Finite Element Method and Applications in Engineering Using ANSYS®, Springer, 2005, 686 p. BEER, G., WATSON, J.O. Introduction to Finite and Boundary Element Methods for Engineers, New York, 1992. CHABOCHE, J.L., LEMAITRE, J. Mechanics of Solid Materials, Cambridge University Press, Cambridge, 1990. BLAHETA, R. Numerical Methods in Elasto-Plasticity, Peres Publishers, Nové Město blízko Chlumce nad Cidlinou, 1999. HALAMA, R., SEDLÁK, J., ŠOFER, M. Phenomenological Modelling of Cyclic Plasticity, Chapter in: Numerical Modelling, Peep Miidla (Ed.), InTech, 2012, p. 329-354. MADENCI, E., GUVEN, I. The Finite Element Method and Applications in Engineering Using ANSYS®, Springer, 2005, 686 p.

Recommended literature:

DUNNE, F; PETRINIC, N. Introduction to Computational Plasticity. Oxford University Press, 2005. 256 p. PARÍS, F., CAŃAS, J. Boundary Element Method - Fundamentals and Applications, Oxford University Press, New York,1997. DUNNE, F, PETRINIC, N. Introduction to Computational Plasticity. Oxford University Press, 2005. 256 p.

Way of continuous check of knowledge in the course of semester

Oral examination

E-learning

Other requirements

Semestral project on the defined topic and its presentation before examiner.

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

1. Importance, history and application of numerical methods, definition of nonlinearities 2. Types and using of numerical methods (FEM, BEM, CDM, FVM, MC, NR etc.) 3. Application of numerical methods in linear continuum (truss, beams, frames, 2D and 3D bodies, statics, elasticity), programming 4. Application of numerical methods in linear continuum (truss, beams, frames, 2D and 3D bodies, mechanical contact, nonlinearities, buckling, plasticity, elastomers, fatigue, creep, thermal loading, dynamics etc.), programming 5. Application of numerical methods in mechanics of liquids, programming 6. Application of numerical methods in stochastic and probabilistic mechanics, deterministic and probabilistic approach and reliability assessment, programming 7. Application of classical commercial sw (ANSYS, MSC.MARC, MSC.NASTRAN, ANTHILL, MATLAB, MATHCAD etc.)

Conditions for subject completion

Full-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Examination Examination  
Mandatory attendence parzicipation:

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2027/2028 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2027/2028 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2026/2027 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2026/2027 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2025/2026 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2025/2026 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2024/2025 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2024/2025 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2023/2024 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2022/2023 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2022/2023 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0715D270013) Applied Mechanics K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0715D270013) Applied Mechanics P Czech Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

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