Course Details

Reliability and Theory of Material Damage

Academic Year 2024/25

NDB025 course is part of 1 study plan

NPC-SIS Winter Semester 2nd year

Course Guarantor


Language of instruction



5 credits



Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site


13 weeks, 2 hours/week, elective


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.


13 weeks, 2 hours/week, compulsory


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.