Skip to main content
Skip header

Theory of Elasticity and Plasticity

Type of study Follow-up Master
Language of instruction English
Code 330-5302/02
Abbreviation TPP
Course title Theory of Elasticity and Plasticity
Credits 6
Coordinating department Department of Applied Mechanics
Course coordinator doc. Ing. Michal Šofer, Ph.D.

Osnova předmětu

1. Transformational properties of vectors and tensors.
2. Concept of transformation.
3. Stress and strain, deformation counterparts of the stress tensor characteristics.
4. Basic system of equations in the theory of elasticity.
5. Elastic anisotropy.
6. Plane problem in elasticity and its solution.
7. A solitary line force acting on a plane boundary of an elastic half-space – Flamant’s problem.
8. Physical background of plasticity. Incremental theory of plasticity. Plastic anisotropy.
9. Concept of isotropic, kinematic, and combined hardening.
10. Numerical implementation of constitutive relations in elastoplasticity.
11. Viscoplasticity. Individual flow rules.
12. Creep – physical essence, experiments, and modeling.
13. Numerical implementation of constitutive relations in viscoplasticity and creep.

Povinná literatura

[1] R. Halama. Numerické metody. Učební opora, FS VŠB-TU Ostrava, 2023, 52 s.
[2] E.A. de Souza Neto, D. Perič, D.R.J. Owens. Computational methods for plasticity: theory and applications. Wiley,2008, 791 p. https://onlinelibrary.wiley.com/doi/book/10.1002/9780470694626
[3] M. Brdička, L. Samek, B. Sopko, Mechanika kontinua, Academia, 2005, ISBN: 802001344X.

Doporučená literatura

[1] Gijsbertus de With. Structure, Deformation and Integrity of Materials, 2006, 838 p. https://onlinelibrary.wiley.com/doi/book/10.1002/9783527612031
[2] M. H. Sadd, Elasticity: Theory, Applications, and Numerics, Academic Press, 2013, ISBN: 0124081369 .
[3] S.P. Timoshenko, Theory of Elasticity, Mc Graw Hill India, 2010, ISBN: 0070701229