Course detail

MECHANICS OF MATERIAL

FAST-6D4Acad. year: 2015/2016

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

Czech

Number of ECTS credits

5

Mode of study

Not applicable.

Guarantor

prof. Ing. Zbyněk Keršner, CSc.

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

Not applicable.

Prerequisites

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

Co-requisites

Not applicable.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Course curriculum

1.Introduction to mechanics of material, theory of materials failures and fracture mechanics.
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 – T-stress, biaxiality factor.
6.Non-linear fracture behaviour, approximate non-linear models, resistance curves and surfaces.
7.Toughening processes quantification. Determination of brittleness number. Fractal dimension of crack and fracture surfaces.
8.Size effect theory.
9.Modelling of failure of concrete structures using FE method. Constitutive laws for concrete and other quasi-brittle materials.
10.Strain localization problems.
11.Crack band model, non-local continuum mechanics.
12.Fictitious crack model. Models of fixed/rotated crack.
13.ATENA – FEM software; application – modelling of experiments/structures.

Work placements

Not applicable.

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Bažant, Z.P., Planas, J.: Fracture and Size Effect in Concrete and other Quasibrittle Materials. CRC Press, Boca Raton, Florida 1998
Cotterell, B.: Fracture mechanics of cementitious materials. Chapman & Hall, Glasgow 1996
Karihaloo, B. L.: Fracture mechanics and structural concrete. Longman, New York 1995
Shah, S. P. et al.: Fracture mechanics of concrete. New York 1995

Recommended literature

Not applicable.

Type of course unit

 

Lecture

26 hod., optionally

Teacher / Lecturer

prof. Ing. Zbyněk Keršner, CSc.

Exercise

26 hod., compulsory

Teacher / Lecturer

prof. Ing. Zbyněk Keršner, CSc.