Course detail

# Fracture Mechanics

Linear elastic fracture mechanics, fracture parameters of material – fracture toughness, fracture energy, characteristic length –, methods for determination of fracture parameters, function of geometry, two-parameters fracture mechanics, T-stress, biaxiality factor, non-linear fracture behaviour, approximate non-linear models, resistance curves and surfaces, toughening processes, brittleness, fractal dimension of crack and fracture surfaces, size effect theory, modelling of failure of concrete structures using FE method, constitutive laws for quasi-brittle materials, strain localization problems, crack band model, non-local continuum mechanics, fictitious crack model, ATENA – FEM software, application – modelling of experiments/structures.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

Student handle design of constructions, fundamentals in thermal evaluation of buildings. Design of building constructions with respect of thermal insulation requirements. Evaluation of thermal comfort and energy efficiency of buildings. Summary of basic requirements for buildings and their constructions from thermal, acoustic and visual comfort point of view. Introduction to solving basic equation of stress analysis and introduction to basics of fracture mechanics with respect to typical structural materials.

Prerequisites

Structural mechanics, meaning of quantities stress and strain, modelling, finite element method.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Introduction to mechanics of material, theory of materials failures and fracture mechanics. Linear elastic fracture mechanics – energy/stress approach.
2. Fracture parameters of material, fracture toughness, fracture energy, characteristic length. Methods for determination of fracture parameters, function of geometry.
3. Two-parameters fracture mechanics. Non-linear fracture behaviour, approximate non-linear models, resistance curves and surfaces.
4. Toughening processes quantification. Determination of brittleness number. Size effect theory.
5. Fractal dimension of crack and fracture surfaces.
6. Modelling of failure of concrete structures using finite element method. Constitutive equations for concrete and other quasi-brittle materials.
7. Strain localization problems. Crack band model, non-local continuum mechanics. Fictitious crack model. Models of fixed/rotated crack.
8. Software; application – modelling of experiments/structures.

Aims

Aim of the course is introduction to mechanics of material, theory of materials failures and linear/nonlinear fracture mechanics. Students will be acquainted with fracture parameters of materials (e.g. fracture toughness, fracture energy, characteristic length) and with methods for determination of these parameters. Students will be orientating in size effect models. They will be able to model of failure of concrete structures using FE method using ATENA.

Specification of controlled education, way of implementation and compensation for absences

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

Classification of course in study plans

• Programme N-P-E-SI (N) Master's

branch K , 2. year of study, winter semester, 5 credits, elective

• Programme N-K-C-SI (N) Master's

branch K , 2. year of study, winter semester, 5 credits, elective

• Programme N-P-C-SI (N) Master's

branch K , 2. year of study, winter semester, 5 credits, elective

#### Type of course unit

Lecture

26 hours, optionally

Teacher / Lecturer

Exercise

13 hours, compulsory

Teacher / Lecturer

eLearning