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Simulation in Mechanics II

Type of study Follow-up Master
Language of instruction English
Code 330-5303/02
Abbreviation SMII
Course title Simulation in Mechanics II
Credits 6
Coordinating department Department of Applied Mechanics
Course coordinator doc. Ing. Martin Fusek, Ph.D.

Subject syllabus

1. Introduction to nonlinear systems, linearization, second-order theory
2. Solving nonlinear problems, Newton-Raphson, Arc-length method
3. Classification of nonlinearities in solid mechanics
4. Geometric nonlinearities
5. Linear and nonlinear loss of stability
6. Contacts - analytical solution, penalty method, Lagrange multipliers
7. Numerical approaches in nonlinear mechanics
8. Flow, classification into laminar and turbulent flow
9. Turbulence models, k-epsilon, k-omega
10. Wind load
11. Introduction to coupled FSI analysis, review of one-way FSI
12. Impact loading of bodies, wave propagation in solids
13. Explosions

Literature

[1] BARRON, F. R. – BARRON R., B. Design for Thermal Stresses, Willey: 2012. 510 s., ISBN 978-0-470-62769-3 
[2] GUPTA, O.P. - Finite and Boundary Element Methods in Engineering, CRC Press, 2022, 494 s., ISBN 978-1-351-44864-2 
[3] PAIDOUSSIS, M. P: Fluid - structure interactions: Slender structures and axial flow. Volume 2, Elsevier Ltd. 2004, ISBN 0-12-544361-7 .

Advised literature

[1] Multiphysics Modelling. Elsevier, 2018 [cit. 2020-04-27]. DOI: 10.1016/C2016-0-01710-2. ISBN 9780128118245 .
[2] AXISA, François a Jose ANTUNES. Modelling of mechanical systems. Amsterdam: Elsevier Butterworth-Heinemann, 2007. ISBN 0-7506-6847-4 .