Course detail
Reliability and theory of material violations
ÚSI-2BDSMAcad. year: 2017/2018
The course deals with methods for the quantification of risks. Continuation of Reliability of structures – it is focused on analysis and modelling of structures made of quasi-brittle materials (concrete). First, the interpretation is conceived at the level of deterministic, and then proceeds to a stochastic approach to the area. The course partly uses software of nonlinear fracture mechanics ATENA and software SARA (stochastic fracture mechanics).
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2. Linear elastic fracture mechanics LEFM, fracture process zone, LEFM
3. Nonlinear fracture mechanics, fracture-mechanical parameters of material
4. Localization, spurious meshes sensitivity, localization limiters
5. Crack band model, nonlocal continuum mechanics
6. Constitutive relations for concrete and other materials - quasi-brittle
7. Fracture-plastic –microplane- model
8. Effect of carrying capacity (size effect), energy and statistical reasons
9. Influence of the size of modulus of rupture
10. Software ATENA
11. Modelling using nonlinear fracture mechanics ATENA
12. Stochastic fracture mechanics, software SARA
13. Modelling using the SARA
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
SHAH, S.P.: Fracture mechanics of concrete, CRC Press New York, 1995
TEPLÝ, B., NOVÁK, D.: Spolehlivost stavebních konstrukcí, CERM Brno, 1999 (skriptum)
Recommended reading
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Lineární lomová mechanika LEFM, lomová procesní zóna, možnosti LEFM
3. Nelineární lomová mechanika, lomově-mechanické parametry materiálu
4. Problematika lokalizace přetvoření, falešná citlivost na síť, omezovače lokalizace
5. Crack band model, nelokální mechanika kontinua
6. Konstitutivní vztahy pro beton a jiné kvazikřehké materiály
7. Fracture-plastic model, mikroploškový (microplane) model
8. Vliv velikosti na únosnost (rozměrový efekt), energetické a statistické příčiny
9. Rozbor vlivu velikosti u pevnosti v tahu za ohybu
10. Software ATENA
11. Prezentace modelování pomocí software nelineární lomové mechaniky ATENA
12. Stochastická lomová mechanika, software SARA
13. Prezentace modelování pomocí systému SARA