Course Details

Theory of elasticity, plasticity and failure

Academic Year 2023/24

DDB034 course is part of 4 study plans

DPC-K Summer Semester 1st year

DPA-K Summer Semester 1st year

DKC-K Summer Semester 1st year

DKA-K Summer Semester 1st year

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).

Course Guarantor

Institute

Objective

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.

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.

Prerequisites

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

Language of instruction

Czech

Credits

8 credits

Semester

summer

Forms and criteria of assessment

examination

Specification of controlled instruction, the form of instruction, and the form of compensation of the absences

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

Offered to foreign students

Not to offer

Course on BUT site

Lecture

13 weeks, 3 hours/week, elective

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.