652-3007/02 – Modeling of forming processes (ModTP)

Gurantor departmentDepartment of Metallurgical TechnologiesCredits5
Subject guarantorIng. Petr Opěla, Ph.D.Subject version guarantorIng. Petr Opěla, Ph.D.
Study levelundergraduate or graduateRequirementChoice-compulsory type B
Study languageEnglish
Year of introduction2022/2023Year of cancellation
Intended for the facultiesFMTIntended for study typesFollow-up Master
Instruction secured by
LoginNameTuitorTeacher giving lectures
OPE014 Ing. Petr Opěla, Ph.D.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 2+3

Subject aims expressed by acquired skills and competences

- Student will be able to explain the finite element method - Student will be able to define and establish initial and boundary conditions in mathematical modeling of forming processes - Student will be able to discuss the possibilities and difficulties of using the finite element method for modeling of selected forming processes

Teaching methods

Individual consultations
Experimental work in labs
Project work


The subject deals with the mathematical modeling of forming processes. The aim is to clarify the mathematical background of the finite element method, using practical examples explain the engineering approach to the mathematical modeling.

Compulsory literature:

[1] WAGONER, R.H. and J.L. CHENOT. Metal Forming Analysis. Cambridge: Cambridge University Press, 2001. ISBN 0-521-64267-1. [2] KOBAYASHI, S., S. OH and T. ALTAN. Metal Forming and the Finite-Element Method. Oxford: Oxford University Press, 1989. ISBN 0-19-504402-9. [3] LENARD, J.G., M. PIETRZYK and L. CSER. Mathematical and Physical Simulation of the Properties of Hot Rolled Products. Elsevier Science Ltd, 1999. ISBN 0-08-042701-4. [4] ALTAN. T., S. OH and H. GEGEL. Metal forming – fundamentals and applications. Metals park: ASM, 1983. [5] LENARD, J. G. Primer on Flat rolling. Elsevier. 2007.

Recommended literature:

[1] GINZBURG, V., B., Steel-Rolling Technology,Theory and Praktice. New York and Basel: Marcel Dekker, Inc., 1989. ISBN 0-8247-8124-4. [2] NAUJOKS, Waldemar, FABEL, Donald C. Forging Handbook. 4th edition. Cleveland, Ohio: The American Society for Metals, 1948. [3] ENGHANG, P., Steel wire technology, Applied Materials Technology. Örebro: Repro Örebro University, 2008. ISBN 91-631-1962-5. [4] CALLISTER, W.D. Fundamentals of Materials Science and Engineering: An Interactive E-text. Wayne Anderson. 5th edition. New York: John Wiley & Sons, 2001. ISBN 0-471-39551-X.

Way of continuous check of knowledge in the course of semester

Credit: 2 tests for verifying of the knowledge of the simulation program: 1st preprocessor, 2nd postprocessor and three programs. Exam: written test


study support available at: http://katedry.fmmi.vsb.cz/Opory_FMMI_ENG/2_rocnik/MMT/Modeling%20of%20forming%20processes.pdf

Other requirements

Attendance at least 75%. Getting min. 20 points from the 30. 2x test, 4x programme


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

1. Introduction to mathematical modeling, principles of mathematical model 2. Analytical solution of Poisson's and Laplace's equation 3. The finite element method, a variation of a functional, properties of basis functions. 4. Patterns of creating finite element mesh (accuracy vs. computation speed). 5. Boundary and initial conditions for modeling of forming processes - an overview. 6. Thermo-mechanical analysis in forming. 7. Tribology and friction during forming. 8. Model of heat transfer to the surroundings and the tools. 9. Mathematical modeling temperature fields of rolled products and forging. 10. Mathematical modeling of forging (upsetting, extension). 11. Mathematical modeling of microstructure evolution during forming. 12. Mathematical modeling of rolling of asymmetrical shapes. 13. Use of mathematical modeling in the evaluation of technological formability. 14. Mathematical modeling of wire drawing

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  51
        Credit Credit  
        Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2022/2023 (N0715A270010) Metallurgical engineering P English Ostrava 2 Choice-compulsory type B study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner