633-0901/02 – Forming Theory (TTVD)
| Gurantor department | Department of Materials Forming | Credits | 10 |
| Subject guarantor | prof. Ing. Jiří Kliber, CSc. | Subject version guarantor | prof. Ing. Jiří Kliber, CSc. |
| Study level | postgraduate | Requirement | Choice-compulsory |
| Year | | Semester | winter + summer |
| | Study language | Czech |
| Year of introduction | 1999/2000 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Doctoral |
Subject aims expressed by acquired skills and competences
describe primary objective knowledge about theoretic principles of plastic deformation. Mathematical reasons of standard tension size like resistance at change volume.. Explain tension like tensor quantity with possibility subdivision after as much as tension deviator. As well analysis sizes intensity tension like resistance against deformation body and manners of graphic display. Analogy stress state on deformation and deformation velocity at forming.
Teaching methods
Individual consultations
Project work
Summary
The subject is focused on theoretic introduction into consequential technological articles in field of material forming. The attention is devoted on meaning of stress, deformation and deformation rate and knowledge tensor state and deviator state of stress problems. Is mentioned demonstration differential equation of equilibrium in rectangular coordinates and primary objective theoretic stress-strain terms.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
no
E-learning
no
Other requirements
elaboration of semester project
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
1. Theoretical principles of plastic deformation. The external and internal forces.
2. The stress at the graphics planes. Oktaedric plane and the stress in the oktaedric plane.
3. The principal of the normal stress. Tangential stress. Stress in universal plane.
4. Stress ellipsoid. The main tangential stress.
5. Mohr circle. Invariance state of stress and mathematical expression of the three invariants.
6. Graphic determination of tangential stress. Tensor expression of strain.
7. Schemes of the main stresses. Deviation chart of stress and invariance of deviation.
8. The intensity of the stress. Graphical solution of the intensity of the stress of the various methods.
9. Indicator of the State of stress. States of confinement (linear, area, 3D).
10. The beginning of plastic deformation in the uniaxial of the force action.
11. Hypothesis of plastic deformation.
12. Differential equation of equilibrium in the rectangular coordinates. Solution of differential task in cylindrical and spherical coordinates.
13. The deformation of the head of the body. The strain rate. Tensor expression of deformation, strain rate, schemes of deformation.
14. Relations between the stress and strain. The elastic strain. Flexible-plastic deformation. Large plastic deformation.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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