Deformation and Failure of Materials

Garant předmětu:

Petr Kabele

Lecturer:

Petr Kabele

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 & 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 2024/2025:

Time-table is not available yet

Time-table for summer semester 2024/2025:

Time-table is not available yet

The course is a part of the following study plans: