Course Details

# Selected Chapters of Structural Mechanics 1 (S)

BDB006 course is part of 1 study plan

BPC-SI / S Summer Semester 4th year

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&apos;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.

Course Guarantor

Institute

Objective

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.

Knowledge

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.

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.

Prerequisites

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

Language of instruction

Czech

Credits

4 credits

Semester

summer

Forms and criteria of assessment

course-unit credit and examination

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

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

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 2 hours/week, elective

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

13 weeks, 2 hours/week, compulsory

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.