Course detail

Selected Chapters of Structural Mechanics 1 (K)

FAST-BDB012Acad. year: 2027/2028

Theories of deformation and failure of materials of civil engineering structures.
Viscoelasticity - creep and relaxation. Basic rheology models and their coupling. Compliance function for concrete.
Plasticity models for both uni- and multi-axial stress state. Mathematical description of plastic deformation. Plasticity criteria.
Stress concentration around notches. Fundamentals of linear elastic fracture mechanics. Griffith's theory of brittle fracture. Energy balance in cracked body, crack stability criterion. Stress state solution in cracked body, modes of crack propagation. Stress intensity factor, fracture toughness. Size effect. Classical nonlinear fracture models, toughening mechanisms. Cohesive crack models and their parameters, fracture energy, tension softening. Damage mechanics. Stochastic aspects of failure of quasi-brittle materials/structures.
Cables loaded in plane.

Language of instruction

Czech

Number of ECTS credits

4

Mode of study

Not applicable.

Guarantor

prof. Ing. Miroslav Vořechovský, Ph.D.

Department

Institute of Structural Mechanics (STM)

Entry knowledge

fundamentals of structural mechanics, analysis of structures and theory of elasticity and plasticity, fundamentals of finite element method, infinitesimal calculus, matrix algebra, fundamentals of numerical mathematics

Rules for evaluation and completion of the course

Extent and forms are specified by guarantor’s regulation updated for every academic year.

Aims

Professional Knowledge

Acquisition of knowledge of models and theories applicable to the inelastic deformation and subsequent failure of structural materials, with particular emphasis on quasi-brittle silicate-based composites.

Professional Skills

Acquisition of the ability to perform a nonlinear structural analysis of a reinforced concrete structure using appropriate specialized software, including the evaluation of the failure process and its consequences.

Professional Competencies

The student will achieve the objective of the course by acquiring knowledge of models describing the deformation and failure of construction materials, with particular emphasis on failure theories for quasi-brittle materials such as concrete. The student will further deepen their understanding of selected deformation and failure models through the use of specialized software for the analysis of concrete and reinforced concrete structures. The student will also gain an awareness of advanced theories describing selected phenomena occurring in quasi-brittle structures, such as the size effect, the random distribution of strength, and related effects.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme BPC-SI Bachelor's

    specialization K , 4 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

26 hours, optionally

Teacher / Lecturer

prof. Ing. Miroslav Vořechovský, Ph.D.

Syllabus

  • 1. Classification of structural materials according to the manner of their failure. Classification of models for mechanical behaviour of materials.
  • 2. Viscoelasticity. Creep and compliance function. Maxwell and Kelvin model/chain. Compliance function for concrete.
  • 3. Plasticity. Physical motivation. Schmid law. Plasticity models for uniaxial and multiaxial stress state.
  • 4. Fracture mechanics. Fundamentals of linear elastic fracture mechanics.
  • 5. Fracture mechanics. Classical nonlinear models. Nonlinear fracture behaviour of quasi-brittle materials. Formation and development of fracture process zone (FPZ). Toughening mechanism in FPZ.
  • 6. Fracture mechanics. Classical nonlinear models. Parameters of cohesive crack models. Fracture mechanics. Fracture models based on continuum mechanics and discrete models.
  • 7. Damage mechanics. Classification of models of failure of concrete and their hierarchy.
  • 8. Stochastic aspects of failure and deformation of structures 9. Interaction of progressive collapse and spatial randomness in concrete structures.
  • 10. Cable in plane – introdiction, fibre polygon, parabolic canetarian curve.
  • 11. Statics of cable in a plane – a cable loaded by arbitrary vertical load, cable equation.

Exercise

26 hours, compulsory

Teacher / Lecturer

prof. Ing. Miroslav Vořechovský, Ph.D.

Syllabus

  • 1. Submission of individual problems to be solved on computer.
  • 2.–10. Work on the tasks with the help of the teacher.
  • 11. Presentation of the results, credits.