345-0503/05 – Theory of Metal Forming (TTv)

Gurantor departmentDepartment of Mechanical TechnologyCredits6
Subject guarantorprof. Ing. Radek Čada, CSc.Subject version guarantorprof. Ing. Radek Čada, CSc.
Study levelundergraduate or graduateRequirementCompulsory
Study languageCzech
Year of introduction2019/2020Year of cancellation
Intended for the facultiesFSIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
C1A20 prof. Ing. Radek Čada, CSc.
PAS091 Ing. Martin Pastrňák, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+2

Subject aims expressed by acquired skills and competences

Students will be able to: • clarify the physical principles of plasticity, • explain and interpret the basic concepts of plasticity, • explain the relationship of stress – plastic deformation. They will get: • an overview of classical plasticity theories, • information on material behavior under uniaxial load. They will be able to: • apply plasticity conditions, • apply plasticity theories to computational methods in forming.

Teaching methods



The subject where first a brief summary of the physical fundamentals of plastic deformation, i.e. physical principles of plasticity, stress – plastic deformation, behavior of material under uniaxial load and then are explained by basic plasticity concepts, classical plasticity theory and ways of using plasticity conditions. At the lectures students are acquainted with the basic concepts necessary to formulate and solve the forming problems and with the basic methods how to solve such problems. In the exercises, the behavior of the material during plastic deformation is numerically modeled and basic forming operations are solved by the discussed methods of analysis. At the end of the course students should be able to apply the theory of plasticity to computational methods in forming.

Compulsory literature:

[1] HOSFORD. W. F. and CADDELL. R. M. Metal Forming: Mechanics and Metallurgy. 4th ed. United States of America, New York: Cambridge University Press, 2011. 331 s. ISBN 978-1-107-00452-8. Signatura v ÚK VŠB-TUO: 271187, čárový kód: 3174225137, lokace: volný výběr. [2] MIELNIK, E. M. Metalworking Science and Engineering. United States of America, New York: McGraw-Hill, Inc., 1991. 976 s. ISBN 0-07-041904-3. Signatura v ÚK VŠB-TUO: 241568, čárový kód: 3174006766 a 3174128024, lokace: volný výběr.

Recommended literature:

[1] CHEN, Wai-Fah a SALEEB, Atef F. Constitutive Equations for Engineering Materials: Vol. 1: Elasticity and Modeling. 2nd rev. ed. Amsterdam: Elsevier, 1994. ISBN 0-444-88408-4. Signatura v ÚK VŠB-TUO: 250148, čárový kód: 3174027895, lokace: sklad knih. [2] CHEN, Wai-Fah. MCCARRON, W. O. and YAMAGUCHI, E. Constitutive Equations for Engineering Materials: Vol. 2: Plasticity and Modeling. Amsterdam: Elsevier, 1994. ISBN 0-444-88408-4. Signatura v ÚK VŠB-TUO: 250148, čárový kód: 3174027896, lokace: sklad knih. [3] HOSFORD, W. F. Mechanical Behavior of Materials. 1. ed. United States of America, New York: Cambridge University Press, 2005. 425 s. ISBN 0-521-84670-6. Signatura v ÚK VŠB-TUO: 263130, čárový kód: 3174138479, lokace: 345/Katedra mechanické technologie – deponát (nelze rezervovat). [4] SEMIATIN, S. L. (volume editor) ASM Handbook: Volume 14A: Metalworking: Bulk Forming. United States of America, Materials Park: ASM International, 2005. 888 s. ISBN 0-87170-708-X. Signatura v ÚK VŠB-TUO: 263020, čárový kód: 3174138355, lokace: ÚK/FBI. [5] HOSFORD, W. F. Materials for Engineers. 1. ed. United States of America, New York: Cambridge University Press, 2008. 278 s. ISBN 978-0-521-89997-0. Signatura v ÚK VŠB-TUO: 271672, čárový kód: 3174204768, lokace: 9330/Centrum pokročilých inovačních technologií – deponát (nelze vypůjčit). [6] HOSFORD, W. F. Physical Metallurgy. 2nd ed. United States of America, Boca Raton: CRC Press, 2010. 423 s. ISBN 978-1-4398-1360-7. Signatura v ÚK VŠB-TUO: 277881, čárový kód: 3174224669, lokace: volný výběr. [7] HOULDCROFT, P and JOHN, R. Welding and Cutting: A Guide to Fusion Welding and Associated Cutting Processes. Velká Británie, Cambridge: Woodhead Publishing, 2001. 232 s. ISBN 1-85573-578-4. Signatura v ÚK VŠB-TUO: 269510, čárový kód: 3174191604, lokace: volný výběr. [8] LUNDH, H. Sheet Steel Forming Handbook: Size Shearing and Plastic Forming. 1st ed. Swedwn, Borlänge: SSAB Tunnplat AB, 1998, 1 sv. (různé stránkování). Signatura v ÚK VŠB-TUO: 255906, čárový kód: 3174084553, lokace: volný výběr. [9] IŽDINSKÁ, Z. Metal Casting. 1. vyd. Slovenská republika, Bratislava: Slovenská technická univerzita, 2007. 112 s. ISBN 978-80-227-2660-3. Signatura v ÚK VŠB-TUO: 266900, čárový kód: 3174180262 a 3174180263, lokace: volný výběr. [10] IRWING, W. Continuous Casting of Steel. Velká Británie, London: Institute of Materials, 1993. 207 s. ISBN 0-901716-53-7. Signatura v ÚK VŠB-TUO: 245498, čárový kód: 3174000204, lokace: sklad knih. [11] NAUJOKS, W. and FABEL, D. C. Forging Handbook. United States of America, Cleveland: American Society for Metals, 1939, 630 s., [1] složená příloha. Signatura v ÚK VŠB-TUO: 74755, čárový kód: 3174065938 a 3174066755, lokace: sklad knih. [12] ARSENAULT, R. Plastic Deformation of Materials. United States of America, New York: Academic Press, 1975. 504 s. ISBN 0-12-341806-2. Signatura v ÚK VŠB-TUO: 133003, čárový kód: 3174057940, lokace: sklad knih. [13] HEARN, E. Mechanics of Materials: An Introduction to the Mechanics of Elastic and Plastic Deformation of Solids and Structural Components. 2nd ed. Oxford: Pergamon Press, 1985. 913 s. ISBN 0-08-030529-6. Signatura v ÚK VŠB-TUO: 205280, čárový kód: 3174045739, lokace: sklad knih. [14] SEMIATIN, S. L. (volume editor) ASM Handbook: Volume 14: Forming and Forging. United States of America, Materials Park: ASM International, 1988. 978 s. ISBN 0-87170-020-4. Signatura v ÚK VŠB-TUO: 251662, čárový kód: 3174043555, lokace: volný výběr (nelze objednat). [15] GUY, A. G., BEVER, M., HENCH, L. L. and PETERLIN, A. Introduction to Materials Science. United States of America, New York: McGraw-Hill, 1971, 604 s. ISBN 07-025310-2. Signatura v ÚK VŠB-TUO: 115028, čárový kód: 3174199721, lokace: sklad knih. [16] DIETER, G. E. (volume editor) ASM Handbook: Volume 20: Materials Selection and Design: Handbook of Workability and Process Design. United States of America, Materials Park: ASM International, 1997. ISBN 0-87170-386-6. [17] WAGONER, R. H. and CHENOT, Jean-Loup Fundamentals of Metal Forming. United States of America, New York: Wiley, 1997. 389 s. ISBN 0-471-57004-4. Signatura v ÚK VŠB-TUO: 261827, čárový kód: 3174251522, lokace: volný výběr. [18] ALTAN, Taylan, OH, Soo Ik and GEGEL, Harold L. Metal Forming: Fundamentals and Applications. United States of America, Metals Park: American Society for Metals, 1983. 353 s. ISBN 0-87170-167-7. Signatura v ÚK VŠB-TUO: 211184, čárový kód: 3174057937, lokace: sklad knih. [19] SHAW, Milton Clayton. Metal Cutting Principles. 2nd ed. United States of America, New York: Oxford University Press, 2005. 651 s. ISBN 0-19-514206-3. Signatura v ÚK VŠB-TUO: 269609, čárový kód: 3174191812, lokace: volný výběr. [20] ELENEV, S. A. Pressworking. 1. ed. Moskva: Mir, 1983. 232 s. (bez ISBN). Signatura v ÚK VŠB-TUO: 195204, čárový kód: 3174193094, lokace: sklad knih. [21] Modern Metal Cutting: A Practical Handbook. 1st English ed. Sandviken: Sandvik Coromant, 1994, 1 sv. (různé stránkování). ISBN 91-972299-0-3. Signatura v ÚK VŠB-TUO: 245228, čárový kód: 3174064041, lokace: sklad knih. [22] Techniques of Pressworking Sheet-metal: An Engineering Approach to Die Design. 1974. ISBN 0-13900696-6. Signatura v ÚK VŠB-TUO: 113199, čárový kód: 3174240456, lokace: sklad knih. [23] Metal Forming: The Application of Limit Analysis. 1980. ISBN 0-8247-6847-7. Signatura v ÚK VŠB-TUO: 167954, čárový kód: 3174242091, lokace: sklad knih.

Way of continuous check of knowledge in the course of semester

Project max. 30 points Oral exam max. 70 points Total max. 100 points



Other requirements

Active attendance at seminars - at least 80 %.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1 Physical fundamentals of plastic deformation. 2 Stress, deformation. 3 Intensity of stress and strain. Resistance to deformation. 4 SVT and HMH plasticity conditions. Plasticity conditions for materials dependent on hydrostatic pressure. 5 Plasticity conditions for anisotropic materials. Baushinger effect. Models of hardening. 6 Convexity of plasticity surface, Drucker postulate of stability. 7 Strain-strain relations, strain theory, incremental theories, vasclastic flow theory. 8 Work of internal forces, work of external frictional forces. Extremal principles. 9 The role of forming. Methods of solution. Method of deformation work. Method of thin slices. 10 Sliding line method, initial assumptions and solution diagram. 11 Experimentally numerical solution of deformation problem, Visioplast method. 12 Upper limit method, solution diagram. 13 Variational methods, solution scheme, Ritz method. 14 Finite element method, solution diagram.

Conditions for subject completion

Full-time form (validity from: 2019/2020 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 (30) 18
                Project Project 30  18
        Examination Examination 70  33
Mandatory attendence parzicipation: Active attendance at exercises at least 80%.

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Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2021/2022 (N0715A270007) Mechanical Engineering Technology P Czech Ostrava 1 Compulsory study plan
2020/2021 (N0715A270007) Mechanical Engineering Technology P Czech Ostrava 1 Compulsory study plan
2019/2020 (N0715A270007) Mechanical Engineering Technology P Czech Ostrava 1 Compulsory study plan

Occurrence in special blocks

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