Course Details
Selected Chapters of Structural Mechanics 2 (S)
Academic Year 2026/27
NDB021 course is part of 1 study plan
NPC-SIS Summer Semester 1st year
Credits
5 credits
Language of instruction
Czech
Semester
Course Guarantor
Institute
Forms and criteria of assessment
Entry Knowledge
Aims
Professional Knowledge
The student will acquire knowledge of textile-reinforced concrete, engineered cementitious composites (ECC), fibre-reinforced concrete, and other composites characterized by a synergistic combination of short fibre reinforcement and structured reinforcement embedded in a brittle matrix. The student will become familiar with the influence of the inherent heterogeneity and randomness of these materials on their mechanical response. They will gain knowledge of modelling the tensile response of composites and fibre bundles, the statistical characterization of sources of randomness, and the probability distributions of the strength of fibres, fibre bundles, and composites.
Professional Skills
The student will be able to formulate and apply models of the tensile response of fibre-reinforced composites and fibre bundles. They will be able to identify and statistically characterize the principal sources of randomness affecting the mechanical properties of composites. The student will be able to evaluate the strength distributions of fibres, fibre bundles, and the resulting composite, and to assess the influence of material heterogeneity on tensile behaviour.
Professional Competencies
The student will be able to independently apply the acquired knowledge to the analysis and modelling of the mechanical response of fibre-reinforced and hybrid-reinforced composites with a brittle matrix. They will be able to select an appropriate model and statistical approach for describing the tensile behaviour of the material, interpret the results with respect to inherent heterogeneity and randomness, and critically assess the influence of the individual composite constituents on its strength and failure behaviour.
Offered to foreign students
Course on BUT site
Lecture
13 weeks, 2 hours/week, elective
Syllabus
- 1. Introduction to fiber reinforced composites. Application sphere, comparison with steel-reinforced concrete and other traditional materials. Characterization of the main features influencing the mechanical response.
- 2. Insight into the mechanisms of energy dissipation and mechanisms of stress redistristribution during progressive failure. Connections to fracture mechanics.
- 3. Characterization of various fiber types and materials for fiber production (such as steel, glass, carbon, aramid, polyester etc.).
- 4. Characterization of fiber types and of yarn types, yarn production and yarn testing. Influence of strain rate and amount of twist.
- 5. Classical model of yarn based on the FEM. Model of the mechanical response based on sorting algorithms.
- 6. Probabilistic model of the yarn response. Definition , explanation of the paradigm, revision of the main ingredients and basic transformations of the model.
- 7. Study of the influence of basic sources of heterogeneity and randomness on random yarn response.
- 8. Modeling approaches exploiting the theory of random fields. Comparison of all the studied models.
- 9. Distribution of strength of multifilament yarns. Daniels' theorem. Transition of the strength tail to the distribution core. Recursive formulas.
- 10. Asymptotic strength.
- 11. Extension to the strength of composites with chained crack bridges. Theory of extreme values and the associated weakest-link model.
- 12. Advances questions in the theory of composites.
- 13. Extreme value theory and its application to statistical strength of materials and structures. Revision.
Exercise
13 weeks, 2 hours/week, compulsory
Syllabus
- 1. Submission of individual problems to be solved on computer.
- 2.–12. Work on the tasks with the help of the teacher.
- 13. Presentation of the results, credits.