26 hod., optionally

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.