Course detail

Limit States of Structures I

FSI-RMKAcad. year: 2026/2027

The course Limit States of Structures II expands the knowledge base of the preceding course Limit States of Structures I. It focuses on several significant aspects of engineering practice from the perspective of service life assessment under dynamic loading, advanced assessment of defect types such as cracks (the "damage tolerant" concept), and the service life assessment of polymers and polymer composites.

Language of instruction

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

Ing. Petr Vosynek, Ph.D.

Department

Institute of Solid Mechanics, Mechatronics and Biomechanics (ÚMTMB)

Entry knowledge

Static structural analysis of beam bodies.
Empirical calculation of machine parts.
Static structural analysis of parts using finite element method.
Material characteristics of metallic materials (without a crack and with crack) in terms of monotonic and cyclic loading and also in terms of reduced, normal, and elevated temperature.

Rules for evaluation and completion of the course

The graded credit consists of active participation in the exercises (preparation of documentation and a semester project) and a written part in the form of test questions.
Participation in the exercises is mandatory. Non-participation can be compensated for by completing the exercise assignment and demonstrating knowledge of the topic covered. Longer absences are compensated for by a special assignment according to the instructions of the instructor or lecturer.

 

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Aims

The aim of the course is to expand the knowledge base in the field of limit state assessment, i.e., to build on the RMK course. More specifically, it aims to familiarize students with other important areas of strength and durability assessment of structures. These include the dynamic response of structures and the subsequent assessment of resulting deformation and stress states, advanced assessment of crack-type defects (the "damage tolerant" concept), and assessment of the service life of polymers and polymer composites.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Anderson, T. L.: Fracture mechanics: fundamentals and applications. Fourth edition. Boca Raton, [2017]. ISBN 978-1-4987-2813-3. (EN)
Dowling, N. E.: Mechanical behavior of materials: engineering methods for deformation, fracture, and fatigue, 4th ed. Boston: Pearson, c2013. ISBN 01-313-9506-8. (EN)
Lee, Y.L., Barkey M.E., Kang H.T.: Metal fatigue analysis handbook: Practical problem-solving techniques for computer-aided engineering. USA: Elsevier, 2012. ISBN 978-0-012-385204-5. (EN)
Vlk, M.: Dynamická pevnost a životnost, skriptum, VUT Brno 1992 (CS)
Vlk, M., Florian, Z.: Mezní stavy a spolehlivost, skriptum, Brno 2007 (CS)

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme N-IMB-P Master's

    specialization IME , 2 year of study, winter semester, compulsory
    specialization BIO , 2 year of study, winter semester, compulsory

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

Ing. Petr Vosynek, Ph.D.

Syllabus

 Introduction to the course. The definition and classification of the limit states.
 A set of selected limit states of technical objects.
 Concept (philosophy) of design and assessment, plan to ensure the integrity of the structure.
 Failure during cyclic loading without a crack.
 Subcritical crack growth.
 Brittle fracture.

Computer-assisted exercise

26 hod., compulsory

Teacher / Lecturer

Ing. Petr Vosynek, Ph.D.

Syllabus

 Fatigue assessment of welded joints without a crack.
 Fatigue assessment of welded joints with a crack.
 Fatigue assessment of notched part in the high cyclic region.
 Fatigue assessment of notched part in the low cyclic region.
 Use of linear elastic fracture mechanics parameters to calculate service life.
 Determination of the value of the J-integral using FEM and its use.
 Use of a fracture diagram when assessing a body with a crack.
 Credit.