652-3017/01 – Forming theory (TTIng)

Gurantor departmentDepartment of Metallurgical TechnologiesCredits6
Subject guarantorprof. Ing. Ivo Schindler, CSc.Subject version guarantorprof. Ing. Ivo Schindler, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2022/2023Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
KAW016 doc. Ing. Petr Kawulok, Ph.D.
KAW031 Ing. Rostislav Kawulok, Ph.D.
KLI10 prof. Ing. Jiří Kliber, CSc.
SH135 prof. Ing. Ivo Schindler, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 3+2
Part-time Credit and Examination 12+4

Subject aims expressed by acquired skills and competences

Student will be able to determine mathematically the principal quantities connected with plastic deformation, and utilize them at description of strain / stress states as well as at solving the differential equations of equilibrium for the individual forming processes. Thus he gains the necessary theoretical basis for study of the consequent technological subjects in field of material forming.

Teaching methods

Individual consultations
Project work


The subject forms the theoretical basis of the consequent technological subjects in field of material forming. The attention is paid mainly to state of stress, deformation and deformation rate, their tensor expression and state of stress invariance.

Compulsory literature:

[1] 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. [2] SLUZALEC, A. Theory of Metal Forming Plasticity. Berlin Heidelberg: Springer-Verlag, 2004. ISBN 978-3-540-40648-8.

Recommended literature:

[1] DAHL, W. et al., ed. Umformtechnik Plastomechanik und Werkstoffkunde. Düsseldorf: Verlag Stahleisen, 1993. ISBN 3-514-00402-1.

Way of continuous check of knowledge in the course of semester

Written test.


Other requirements

Elaboration of semester project.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Theoretical principles of plastic deformation, strain and strain rate. Tension on coordinate planes, normal and tangential (shear) stress components. State of stress in common plane, octahedral plane. Principal normal stress, state of stress ellipsoid. State of stress invariance and mathematical formulation of three invariants. Mohr circles, tension in octahedral plane. Graphical determination of tangential tension, stress tensor. Schemas of principal stresses, deviator schema of stress and invariance of stress deviator. Stress intensity and its determination by various methods. States of stress, state of stress indicator. Differential equation of equilibrium in rectangular coordinates. Outline of solving differential equation of equilibrium in cylindrical and spherical coordinates. Differential equation of equilibrium in roll gap at longitudinal rolling. Tensor expression of strain and strain rate, schemas of deformation.

Conditions for subject completion

Full-time form (validity from: 2022/2023 Winter semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Credit and Examination Credit and Examination 100 (100) 51
        Credit Credit 30  16
        Examination Examination 70  35
Mandatory attendence parzicipation: 80%

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (N0715A270003) Metallurgical engineering (S03) Forming of Progressive Metallic Materials K Czech Ostrava 1 Compulsory study plan
2022/2023 (N0715A270003) Metallurgical engineering (S03) Forming of Progressive Metallic Materials P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner