Course detail

Theory of elasticity, plasticity and failure

FAST-DD54Acad. year: 2024/2025

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

Mode of study

Not applicable.

Guarantor

prof. Ing. Drahomír Novák, DrSc.

Department

Institute of Structural Mechanics (STM)

Entry knowledge

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

Rules for evaluation and completion of the course

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

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.

Study aids

Not applicable.

Prerequisites and corequisites

Not applicable.

Basic literature

Z. P. Bažant, J. Planas: Fracture mechanics and structural concrete. CRC Boca Raton 1998

Recommended literature

V. Červenka, R. Pukl: ATENA - Program documentation. Červenka Consulting, Praha 2003

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