Course detail

Theory of elasticity, plasticity and failure

FAST-DDB034Acad. year: 2021/2022

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).

Language of instruction

Czech

Number of ECTS credits

8

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

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.

Planned learning activities and teaching methods

Not applicable.

Assesment methods and criteria linked to learning outcomes

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.

Work placements

Not applicable.

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.

Recommended optional programme components

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Not applicable.

Recommended reading

Not applicable.

Classification of course in study plans

  • Programme DPA-K Doctoral 1 year of study, summer semester, compulsory-optional
  • Programme DPC-K Doctoral 1 year of study, summer semester, compulsory-optional
  • Programme DKA-K Doctoral 1 year of study, summer semester, compulsory-optional
  • Programme DKC-K Doctoral 1 year of study, summer semester, compulsory-optional

Type of course unit

 

Lecture

39 hod., optionally

Teacher / Lecturer

prof. Ing. Drahomír Novák, DrSc.

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.