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Numerical Methods

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.

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.

Advised 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.


Language of instruction čeština, angličtina
Code 330-0924
Abbreviation NUMET
Course title Numerical Methods
Coordinating department Department of Applied Mechanics
Course coordinator prof. Ing. Karel Frydrýšek, Ph.D., FEng.