Czech

5

Not applicable.

Institute of Structural Mechanics (STM)

Student handles basics of mechanics of material, theory of materials failures and linear/nonlinear fracture mechanics. Student will be acquainted with fracture parameters of materials (e.g. fracture toughness, fracture energy, characteristic length) and with methods for determination of these parameters. Student will be orientating in size effect models. He/she will be able to model of failure of concrete structures using finite element method software. Introduction to the issue of strain localization, crack band model and nonlocal continuum mechanics.

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

Nonlinear structural analysis.

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations. Methods of teaching are lectures and exercises. Individual consultations complement teaching. Study activities of student include entering his own independent work. Attendance at lectures is recommended. Participation in other classes is required and controlled.

The subject is completed by credit and final examination. For credit the student should pass all written tests in selected exercises. The credit is the necessary condition for final examination entrance. The final examination consists of written and oral parts. The written examination part includes both examples and theory. The positive result in written examination allows the student to pass to oral part.

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.

Not applicable.

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.

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

Not applicable.

Not applicable.

Not applicable.

Not applicable.

13 hours, compulsory

1. Introduction to fracture mechanics, information sources. Theoretical study of fracture experiment.
2. Fracture test – three-point bending of beam with central edge notch.
3. Test evaluation – determination of effective fracture toughness, critical crack opening displacement, specific fracture energy.
4. Wedge splitting fracture test (WST).
5. WST evaluation – determination of fracture toughness, critical crack opening displacement, specific fracture energy.
6. Resistance curves of selected fracture parameters. Quantification of toughening processes. Brittleness number determination.
7. Numerical simulation – data preparation. Software, simulation of fracture experiment.
8. Using parameters obtained in modelling of structural response. Credit.