CZECH TECHNICAL UNIVERSITY IN PRAGUE
STUDY PLANS
2023/2024

# Deformation and Failure of Materials

Code Completion Credits Range Language
D32PRE_EN ZK 1P+1C English
Garant předmětu:
Petr Kabele
Lecturer:
Petr Kabele, Jiří Šejnoha
Tutor:
Supervisor:
Department of Mechanics
Synopsis:

The course focuses at systematic mathematical description of mechanical behavior of materials. The subjects include: The model of continuum and the concept of representative volume element. General principles of constitutive modeling. Theories of elasticity (hyperelasticity, Cauchy elasticity, hypoelasticity). Viscoelasticity and the theory of creep. Yield and failure criteria. Incremental theory of plasticity. Damage mechanics. Fracture mechanics. Fatigue.

Requirements:
Syllabus of lectures:

1. Introduction - review of basic quantities and relations for description of the continuum.

2. Principles of constitutive modelling.

3.-4. Elasticity theory (hyperelasticity, Cauchy elasticity, hypoelasticity).

5.-6. Time-dependent deformation - viscoelasticity, creep theory.

7. Yield and failure criteria.

8. Incremental theory of plasticity.

9. Damage mechanics.

10.-11. Fracture mechanics.

12. Fatigue.

13. Reserve, special topics.

Syllabus of tutorials:

1. Introduction - review of basic quantities and relations for description of the continuum.

2. Principles of constitutive modelling.

3.-4. Elasticity theory (hyperelasticity, Cauchy elasticity, hypoelasticity).

5.-6. Time-dependent deformation - viscoelasticity, creep theory.

7. Yield and failure criteria.

8. Incremental theory of plasticity.

9. Damage mechanics.

10.-11. Fracture mechanics.

12. Fatigue.

13. Reserve, special topics.

Study Objective:

Students will deepen their theoretical knowledge in the formulation of constitutive relations and other methods for mathematical modelling of deformation and failure of materials.

Study materials:

N. S. Ottosen and M. Ristinmaa, The Mechanics of Constitutive Modeling. Oxford, UNITED KINGDOM: Elsevier Science &amp; Technology, 2005, ISBN: 978-0-08-052569-3. [Online e-book]. Available: https://ebookcentral.proquest.com/lib/techlib-ebooks, search by ISBN, NTK account is necessary.

P. Kelly, “Mechanics Lecture Notes Part I: An Introduction to Solid Mechanics,” 2019. http://homepages.engineering.auckland.ac.nz/~pkel015/SolidMechanicsBooks/Part_I/index.html (accessed Jan. 13, 2019).

P. Kelly, “Mechanics Lecture Notes Part II: Engineering Solid Mechanics – Small Strain,” 2019. http://homepages.engineering.auckland.ac.nz/~pkel015/SolidMechanicsBooks/Part_II/index.html (accessed Jan. 13, 2019).

P. Kelly, “Mechanics Lecture Notes Part III: Foundations of Continuum Mechanics,” 2019. http://homepages.engineering.auckland.ac.nz/~pkel015/SolidMechanicsBooks/Part_III/index.html (accessed Jan. 13, 2019).

P. Kelly, “Mechanics Lecture Notes Part IV: Material Models in Continuum Solid Mechanics,” 2019. http://homepages.engineering.auckland.ac.nz/~pkel015/SolidMechanicsBooks/Part_IV/index.html (accessed Jan. 13, 2019).

A. F. Bower, “Applied Mechanics of Solids.” http://solidmechanics.org/index.html (accessed May 22, 2020).

M. Jirásek and J. Zeman, Přetváření a porušování materiálů: dotvarování, plasticita, lom a poškození. Praha: České vysoké učení technické v Praze, Stavební fakulta, 2006.

Note:
Time-table for winter semester 2023/2024:
Time-table is not available yet
Time-table for summer semester 2023/2024:
Time-table is not available yet
The course is a part of the following study plans:
Data valid to 2024-07-16
Aktualizace výše uvedených informací naleznete na adrese https://bilakniha.cvut.cz/en/predmet6043906.html