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Terminated in academic year 2020/2021

Elasticity and plasticity II

Type of study Bachelor
Language of instruction English
Code 228-0211/02
Abbreviation PPII
Course title Elasticity and plasticity II
Credits 6
Coordinating department Department of Structural Mechanics
Course coordinator prof. Ing. Jiří Brožovský, Ph.D.

Subject syllabus

1. Introduction to advanced elasticity. Basic equations.
2. Stress and strain. Transformations of stresses and strains.
3. Plane stress: basic equations, Airy function, methods of solution.
4. Plane strain: basic equations, solution methods.
5. Thin slabs (Kirchhoff theory): basic equations, methods of solution (differential method).
6. Thick slabs (Mindlin theory): basic equations, differences between thin and thick slabs.
7. Shells: basic equations (membrane state and bendind state), axisymmetric slabs.
8. Shells: differential method.
9. Elastic halfspace: basic equations, methods of solution, comparison with 2D solutions.
10. Winkler and Mindlin foundation models.
11. Elastic stability: introduction, basic assumptions, Euler's solution.
12. Elastic stability: alternative approaches.
13. Non-linear material behaviour: introduction, types of non-linear behaviour, elastic-plastic material.
14. Solution of frames with plastic hinges.

Literature

1. Gere, Timoshenko: Mechanics of materials, PWS-Kent, Boston, 1990
2. Boresi A. P., Schmidt, R. J.: Advanced Mechanics of Materials,John Wiley and Sons, Chichester, USA 2003

Advised literature

1. Jirásek M., Bažant, Z. P.: Inelastic Analysis of Structures, John Willey and Sons, Chichester, USA, 2002