Course detail

Reliability and theory of material violations

ÚSI-2BDSMAcad. year: 2015/2016

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

Czech

Number of ECTS credits

2

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Institute of Forensic Engineering (ÚSI)

Learning outcomes of the course unit

Students will gain specialized and professional knowledge and skills of reliability analysis of selected problems.

Prerequisites

Fundamentals of mathematical statistics and probability.

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Teaching is carried out through lectures and seminars. Lectures consist of interpretations of basic principles, methodology of given discipline, problems and their exemplary solutions. Seminars particularly support practical mastery of subject matter presented in lectures or assigned for individual study with the active participation of students.

Assesment methods and criteria linked to learning outcomes

Prerequisite for obtaining credit is processing project, presentation included. The examination will be based a written test and presentation of project’s outcome.

Course curriculum

1. Types of materials in terms of softening, introduction to the constitutive material models, methods for quantifying risk
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

Not applicable.

Aims

The aim is to gain knowledge and skills of the reliability analysis using the reliability software.

Specification of controlled education, way of implementation and compensation for absences

Not applicable.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

KERŠNER, Z., PUKL, R., NOVÁK, D.: Vybrané stati z nosných konstrukcí budov, elektronická studijní opora pro kombinované studium, modul BL13-MO3, FAST VUT v Brně, 2007
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

BAŽANT, Z.P., PLANAS, J.: Fracture and size effect of concrete structures, CRC Press, Bocar Raton, Florida and London, 1998

Classification of course in study plans

  • Programme MRzI Master's

    branch RSK , 2 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.

Syllabus

1. Typy materiálů z hlediska změkčení, úvod do konstitutivních materiálových modelů, metody pro kvantifikaci rizik
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

Exercise

13 hod., compulsory

Teacher / Lecturer

Ing. Václav Sadílek, Ph.D.
prof. Ing. Jan Eliáš, Ph.D.

Syllabus

viz přednášky