Reliability and Theory of Material Damage
FAST-NDB025Acad. year: 2020/2021
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.
Institute of Structural Mechanics (STM)
Learning outcomes of the course unit
Student will learn following topics: Stochastic model, reliability condition, numerical simulation methods, limit states, linear elastic fracture mechanics.
Knowledge from Elasticity, Structural mechanics, Probability and Statistics calculus.
Recommended optional programme components
Recommended or required reading
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Language of instruction
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.
Stochastic model, reliability condition, numerical simulation methods, limit states, linear elastic fracture mechanics.
Specification of controlled education, way of implementation and compensation for absences
Extent and forms are specified by guarantor’s regulation updated for every academic year.
Classification of course in study plans
- Programme NPC-SIS Master's, 2. year of study, winter semester, 5 credits, compulsory-optional