330-0924/02 – Numerical Methods (NUMET)
| Gurantor department | Department of Applied Mechanics | Credits | 10 |
| Subject guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. | Subject version guarantor | prof. Ing. Karel Frydrýšek, Ph.D., FEng. |
| Study level | postgraduate | Requirement | Choice-compulsory type B |
| Year | | Semester | winter + summer |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FS | Intended for study types | Doctoral |
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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