228-0305/02 – Non-linear and fracture mechanics (NLM)
| Gurantor department | Department of Structural Mechanics | Credits | 5 |
| Subject guarantor | prof. Ing. Jiří Brožovský, Ph.D. | Subject version guarantor | prof. Ing. Jiří Brožovský, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | winter |
| | Study language | English |
| Year of introduction | 2010/2011 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FAST | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Ability to solve non-linear problems of structural mechanics (plasticity, linear stability). Ability to recognize and to describe types of non-linear behaviour of building structures. Ability to solve non-linear problems with help of special software.
Teaching methods
Lectures
Tutorials
Summary
Knowledge about non-linear problems related to civil engineering structures and materials (constitutive modelling, damage, linear stability, large deformations).
Compulsory literature:
1. Jirásek M., Bažant, Z. P.: Inelastic Analysis of Structures, John Willey and Sons, Chichester, USA, 2002
Recommended literature:
1. Boresi A. P., Schmidt, R. J.: Advanced Mechanics of Materials,John Wiley and Sons, Chichester, USA 2003
Way of continuous check of knowledge in the course of semester
Individual project.
E-learning
Other requirements
Students have to prepare an independent work (solution of a given problem) in the area of the non-linear mechanics.
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
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures
1. Repeating of knowledge from theory of elasticity
2. Non-linear behaviour types
3. Solution methods for non-linear problems
4. Geometrical non-linearities. 2nd order theory.
5. Large deformations.
6. Linear stability.
7. Constitutive non-linearities.
8. Elastic-plastic behaviour: introduction, plasticity conditions for metals
9. Elastic-plastic behaviour: orthotripic materials
10. Elastic-plastic behaviour: soils and rocks
11. Elastic-plastic behaviour: concrete
12. Linear elastic fracture mechanics: introduction
13. Linear elastic fracture mechanics: basic problems
14. Modelling of quassi-brittle materials
Seminaries
1. Repeating of elasticity knowledge
2. Plane problem. Slabs
3. Structural non-linearities: one-directional support
4. Structural non-linearities: frame on subsoil 1
5. Structural non-linearities: frame on subsoil 2
6. Structural non-linearities: frame with link stiffeners
7. Beam analysis: 2nd order theory
8. Frame analysis: 2nd order theory
9. Frame with plastic hinges 1
10. Frame with plastic hinges 1
11. Elastic-plastic analysis of beam - layered model 1
12. Elastic-plastic analysis of beam - layered model 2
13. Stress intensity factor
14. Presentations of individual projects
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction