Course detail

Reliability and Theory of Material Damage

FAST-NDB025Acad. year: 2024/2025

Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), Structural resistance and load action as two independent random variables, limit state and philosophy of design according to standards, theoretical failure probability, reliability conditions, reliability reserve, reliability index, numerical simulation methods of Monte Carlo type, Latin Hypercube Sampling, Importace Sampling, basic methods for failure probability analysis of structures designed by standards for design, basic methods for statistics, sensitivity and probabilistic analysis application to steel structures design. Introduction into risk engineering.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Institute of Structural Mechanics (STM)

Entry knowledge

Knowledge from Elasticity, Structural mechanics, Probability and Statistics calculus.

Rules for evaluation and completion of the course

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Aims

Stochastic model, reliability condition, numerical simulation methods, limit states, linear elastic fracture mechanics.
Student will learn following topics: Stochastic model, reliability condition, numerical simulation methods, limit states, linear elastic fracture mechanics.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme NPC-SIS Master's 2 year of study, winter semester, compulsory-optional

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.
prof. Ing. Zbyněk Keršner, CSc.

Syllabus

1. Introduction of reliability theory, reliability background of standards for structural design (Eurocodes), structural resistance and load action as two independent random variables, reliability condition, reserve of reliability. 2. Limit states and philosophy of design by standards; Reliability standards: theoretical failure probability, reliability index. 3. Numerical simulation method Monte Carlo in applications. 4. Computation model, model uncertainty, grosses errors. 5. Numerical simulation methods Latin Hypercube Sampling, Importace Sampling in applications, FORM, SORM approximation methods. 6. Random process and random fields – Stochastic finite element methods and these applications. 7. Probabilistic optimization, problems of life-time of structures. 8. Linear elastic fracture mechanic - used of statistics and sensitivity analysis; verification and calibration of standards; design procedures. 9. Modeling of failure process in concrete structures; Fictive crack model, Fictive crack model and rotate crack model. 10. Reliability of the elements made of quasi-brittle materials, computations in ATENA code.

Exercise

26 hod., compulsory

Teacher / Lecturer

doc. Ing. Lukáš Novák, Ph.D.

Syllabus

1. Recapitulation of probability and statistics using simple examples. 2. Examples on usage of Cornell reliability index. 3. Simple example to learn Monte Carlo simulation method using Excel. 4. Calculations of failure probability via Latin Hypercube Sampling in Excel. 5. More complex examples on simulation methods using Excel. 6. Linear elastic fracture mechanics, simple calculations. 7.–9. Finite element method software Atena, creation of computational model. 10. Randomization of Atena model through Sara studio.