Course Details

Theory of elasticity, plasticity and failure

DDB034 course is part of 4 study plans

Ph.D. full-t. program DPC-K compulsory-elective Summer Semester 1st year 8 credits

Ph.D. combi. program DKC-K compulsory-elective Summer Semester 1st year 8 credits

Ph.D. full-t. program DPA-K compulsory-elective Summer Semester 1st year 8 credits

Ph.D. combi. program DKA-K compulsory-elective Summer Semester 1st year 8 credits

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

prof. Ing. Drahomír Novák, DrSc.

Institute

Institute of Structural Mechanics

Prerequisites

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

Planned educational 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.

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.

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

Vymezení kontrolované výuky a způsob jejího provádění stanoví každoročně aktualizovaná vyhláška garanta předmětu.

Lecture

3 hours/week, 13 weeks, elective

Syllabus of lectures

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.