Course Details

Selected Chapters of Structural Mechanics 2 (S)

Academic Year 2025/26

NDB021 course is part of 1 study plan

​ NPC-SIS Summer Semester 1st year

Course Guarantor

prof. Ing. Miroslav Vořechovský, Ph.D.

Institute

Institute of Structural Mechanics

Language of instruction

Czech

Credits

5 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Offered to foreign students

Not to offer

Course on BUT site

https://www.vut.cz/en/students/courses/detail/295790

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.