633-0901/03 – Forming Theory (TTVD)

Gurantor departmentDepartment of Materials FormingCredits10
Subject guarantorprof. Ing. Jiří Kliber, CSc.Subject version guarantordoc. Ing. Richard Fabík, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory type B
YearSemesterwinter + summer
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFMTIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FAB37 doc. Ing. Richard Fabík, Ph.D.
KLI10 prof. Ing. Jiří Kliber, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Examination 20+0
Part-time Examination 20+0

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


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:

WAGONER, R. H. and J. L. CHENOT. Metal Forming Analysis. Cambridge: Cambridge University Press, 2001. ISBN 0-521-64267-1. SLUZALEC, A. Theory of Metal Forming Plasticity. Berlin Heidelberg: Springer-Verlag, 2004. ISBN 978-3-540-40648-8. DIETER, G. E., H. A. KUHN and S. L. SEMIATIN. Handbook of Workability and Process Design. Materials Park: ASM International, 2003. ISBN 0-87170-778-0. BANABIC, D. et al. Formability of Metallic Materials: Plastic Anisotropy, Formability Testing, Forming Limits. New York: Springer, 2000. ISBN 3-540-67906-5.

Recommended literature:

CHAKTRABARTY, J. Theory of plasticity. ISBN 978-0-7506-6638-2. WAGONER, R. H. and J. L. CHENOT. Fundamentals of Metal Forming. ISBN 0-471-57004-4. ALTAN, T., S. OH and H. L. GEGEL. Metal forming: fundamentals and applications. Metals Park: American Society for Metals, 1983. ISBN 0-87170-167-7.

Way of continuous check of knowledge in the course of semester

Ústní zkouška s písemnou přípravou



Other requirements

elaboration of semester project


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Theoretical principles of plastic deformation. The external and internal forces. The stress at the graphics planes. Oktaedric plane and the stress in the oktaedric plane. The principal of the normal stress. Tangential stress. Stress in universal plane. Stress ellipsoid. The main tangential stress. Mohr circle. Invariance state of stress and mathematical expression of the three invariants. Graphic determination of tangential stress. Tensor expression of strain. Schemes of the main stresses. Deviation chart of stress and invariance of deviation. The intensity of the stress. Graphical solution of the intensity of the stress of the various methods. Indicator of the State of stress. States of confinement (linear, area, 3D). The beginning of plastic deformation in the uniaxial of the force action. Hypothesis of plastic deformation. Differential equation of equilibrium in the rectangular coordinates. Solution of differential task in cylindrical and spherical coordinates. The deformation of the head of the body. The strain rate. Tensor expression of deformation, strain rate, schemes of deformation. Relations between the stress and strain. The elastic strain. Flexible-plastic deformation. Large plastic deformation.

Conditions for subject completion

Part-time form (validity from: 2019/2020 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Occurrence in study plans

Academic yearProgrammeBranch/spec.Spec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (P0715D270006) Metallurgical Technology P Czech Ostrava Choice-compulsory type B study plan
2021/2022 (P0715D270006) Metallurgical Technology K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0715D270006) Metallurgical Technology K Czech Ostrava Choice-compulsory type B study plan
2020/2021 (P0715D270006) Metallurgical Technology P Czech Ostrava Choice-compulsory type B study plan
2019/2020 (P0715D270006) Metallurgical Technology K Czech Ostrava Choice-compulsory type B study plan
2019/2020 (P0715D270006) Metallurgical Technology P Czech Ostrava Choice-compulsory type B study plan

Occurrence in special blocks

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Assessment of instruction

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