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Numerical Methods of Mechanics III

Type of study Follow-up Master
Language of instruction Czech
Code 330-0536/01
Abbreviation MKPIII
Course title Numerical Methods of Mechanics III
Credits 5
Coordinating department Department of Applied Mechanics
Course coordinator doc. Ing. Martin Fusek, Ph.D.

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)

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

Advised literature

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