Course detail
Fracture mechanics
FAST-CD54Acad. year: 2014/2015
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
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Department
Learning outcomes of the course unit
Prerequisites
Co-requisites
Planned learning activities and teaching methods
Assesment methods and criteria linked to learning outcomes
Course curriculum
2. Linear elastic fracture mechanics – energy/stress approach.
3. Fracture parameters of material, fracture toughness, fracture energy, characteristic length.
4. Methods for determination of fracture parameters, function of geometry.
5. Two-parameters fracture mechanics.
6. Non-linear fracture behaviour, approximate non-linear models, resistance curves and surfaces.
7. Toughening processes quantification. Determination of brittleness number.
8. Fractal dimension of crack and fracture surfaces.
9. Size effect theory.
10. Modelling of failure of concrete structures using finite element method. Constitutive equations for concrete and other quasi-brittle materials.
11. Strain localization problems. Crack band model, non-local continuum mechanics.
12. Fictitious crack model. Models of fixed/rotated crack.
13. Software; application – modelling of experiments/structures.
Work placements
Aims
Specification of controlled education, way of implementation and compensation for absences
Recommended optional programme components
Prerequisites and corequisites
Basic literature
Recommended reading
Cotterell, B.: Fracture mechanics of cementitious materials. Chapman and Hall, Glasgow, 1996. (EN)
Karihaloo, B.L.: Fracture mechanics and structural concrete. Longman, New York, 1995. (EN)
Shah, S.P. et al.: Fracture mechanics of concrete. New York, 1995. (EN)
Z. P. Bažant, J. Planas: Fracture and size effect of concrete structures. CRC Boca Raton, 1999. (EN)
Classification of course in study plans
Type of course unit
Lecture
Teacher / Lecturer
Syllabus
2. Linear elastic fracture mechanics – energy/stress approach.
3. Fracture parameters of material, fracture toughness, fracture energy, characteristic length.
4. Methods for determination of fracture parameters, function of geometry.
5. Two-parameters fracture mechanics.
6. Non-linear fracture behaviour, approximate non-linear models, resistance curves and surfaces.
7. Toughening processes quantification. Determination of brittleness number.
8. Fractal dimension of crack and fracture surfaces.
9. Size effect theory.
10. Modelling of failure of concrete structures using finite element method. Constitutive equations for concrete and other quasi-brittle materials.
11. Strain localization problems. Crack band model, non-local continuum mechanics.
12. Fictitious crack model. Models of fixed/rotated crack.
13. Software; application – modelling of experiments/structures.
Exercise
Teacher / Lecturer
Syllabus
2. Theoretical study of fracture experiment.
3. Fracture test - three-point bending of beam with central edge notch.
4. Test evaluation - determination of effective fracture toughness.
5. Test evaluation - critical crack opening displacement.
6. Test evaluation - specific fracture energy.
7. Resistence curves of selected fracture parameters.
8. Quantification of toughening processes.
9. Brittleness number determination.
10. Numerical simulation -- data preparation.
11. Software, simulation of fracture experiment.
12. Using parameters obtained in modeling of structural response.
13. Modeling of structural response (continuation). Credit.