228-0211/02 – Elasticity and plasticity II (PPII)
Gurantor department | Department of Structural Mechanics | Credits | 6 |
Subject guarantor | prof. Ing. Martin Krejsa, Ph.D. | Subject version guarantor | prof. Ing. Jiří Brožovský, Ph.D. |
Study level | undergraduate or graduate | Requirement | Compulsory |
Year | 3 | Semester | winter |
| | Study language | English |
Year of introduction | 2010/2011 | Year of cancellation | 2020/2021 |
Intended for the faculties | FAST | Intended for study types | Bachelor |
Subject aims expressed by acquired skills and competences
Understanding of basic quantities and equation of mathematical theory of elasticity. Ability to choose right calculation model for the problem. Ability to choose adequate method of solution.
Teaching methods
Lectures
Tutorials
Summary
Basics of mathematical theory of elasticity: basic quantities and equations, basic problems and methods of solution. Students will obtain knowledge in area of elasticity and structural mechanics and this will be able to apply this knowledge in desing os structures.
Compulsory 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
Recommended literature:
1. Jirásek M., Bažant, Z. P.: Inelastic Analysis of Structures, John Willey and Sons, Chichester, USA, 2002
Way of continuous check of knowledge in the course of semester
E-learning
Other requirements
At least 70% attendance at the exercises. Absence, up to a maximum of 30%, must be excused and the apology must be accepted by the teacher (the teacher decides to recognize the reason for the excuse).
Tasks assigned on the exercises must be hand in within the dates set by the teacher.
Prerequisities
Co-requisities
Subject has no co-requisities.
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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