Course detail

Theory of elasticity, plasticity and failure

FAST-DD62Acad. year: 2018/2019

Linear elastic fracture mechanics LEFM, fracture process zone, applicability of LEFM, nonlinear fracture mechanics, fracture-mechanical parameters of material.
Strain localization, spurious mesh sensitivity, localization limiters, crack band model, nonlocal continuum mechanics.
Constitutive laws for concrete and other quasibrittle materials.
Size effect, deterministic-energetic and statistical explanation, size effect of modulus of rupture.
Modelling using nonlinear fracture mechanics software ATENA and software SARA (stochastic fracture mechanics).

Department

Institute of Structural Mechanics (STM)

Learning outcomes of the course unit

Not applicable.

Prerequisites

Finite element method, elasticity, plasticity, strength of materials, numerical methods.

Co-requisites

Not applicable.

Recommended optional programme components

Not applicable.

Recommended or required reading

A. Haldar, S. Mahadevan: Reliability Assessment Using Stochastic Finite Element Analysis. John Wiley and Sons 2000

Planned learning activities and teaching methods

Teaching methods depend on the type of course unit as specified in the article 7 of BUT Rules for Studies and Examinations.

Assesment methods and criteria linked to learning outcomes

Not applicable.

Language of instruction

Czech

Work placements

Not applicable.

Course curriculum

1. Type of materials with respect to softening, introduction into material constitutive laws
2. Linear elastic fracture mechanics LEFM, fracture process zone, applicability of LEFM
3. Nonlinear fracture mechanics, fracture-mechanical parameters of material
4. Strain localization, spurious mesh sensitivity, localization limiters
5. Crack band model, nonlocal continuum mechanics
6. Constitutive laws for concrete and other quasibrittle materials
7. Fracture-plastic model, microplane model
8. Size effect, deterministic-energetic and statistical explanation
9. Size effect of modulus of rupture
10. Fundamentals of damage mechanics
11. Modelling using nonlinear fracture mechanics software ATENA
12. Stochastic fracture mechanics
13. Modelling using software system SARA

Aims

Theoretical knowledge of numerical modelling of structures made of quasibrittle materials (concrete).
Understanding of aspects of strain localization and size effect.
Students will learn about possibilities of present software tools.

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 D-K-C-SI (N) Doctoral

    branch KDS , 1. year of study, summer semester, 8 credits, compulsory-optional

  • Programme D-P-C-SI (N) Doctoral

    branch KDS , 1. year of study, summer semester, 8 credits, compulsory-optional

  • Programme D-K-E-SI (N) Doctoral

    branch KDS , 1. year of study, summer semester, 8 credits, compulsory-optional

  • Programme D-P-E-SI (N) Doctoral

    branch KDS , 1. year of study, summer semester, 8 credits, compulsory-optional

Type of course unit

 

Lecture

39 hours, optionally

Teacher / Lecturer

Syllabus

1. Type of materials with respect to softening, introduction into material constitutive laws
2. Linear elastic fracture mechanics LEFM, fracture process zone, applicability of LEFM
3. Nonlinear fracture mechanics, fracture-mechanical parameters of material
4. Strain localization, spurious mesh sensitivity, localization limiters
5. Crack band model, nonlocal continuum mechanics
6. Constitutive laws for concrete and other quasibrittle materials
7. Fracture-plastic model, microplane model
8. Size effect, deterministic-energetic and statistical explanation
9. Size effect of modulus of rupture
10. Fundamentals of damage mechanics
11. Modelling using nonlinear fracture mechanics software ATENA
12. Stochastic fracture mechanics
13. Modelling using software system SARA