Course detail

Selected Chapters of Structural Mechanics 1 (K)

FAST-BD053Acad. year: 2024/2025

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

Earning knowledge about models and theories utilizable for inelastic deformation and subsequent failure of materials of structures, particularly quasi-brittle silica-based composites. Getting abilities to perform nonlinear structural analysis of reinforced concrete structure using appropriate special software including evaluation of failure progress and its consequences.
Students will master the subject targets; it means the knowledge about models for inelastic deformation and failure of materials in building industry with particular attention to the theories of failure of quasi-brittle materials, e.g. concrete. The knowledge about selected failure models will be then deepened by practice with special software for analysis of concrete and reinforced concrete structures. The students will get familiar with advanced theories capturing selected phenomena occurring in the field of quasi-brittle structures, such as size effect, random distribution of strength, etc.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Type of course unit

 

Lecture

26 hod., 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 hod., 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.