633-0913/01 – Mathematical Modeling of Forming Processes (MMTPPhD)

Gurantor departmentDepartment of Materials FormingCredits10
Subject guarantordoc. Ing. Richard Fabík, Ph.D.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.
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

- Student will be able to explain the finite element method, discuss possibilities of its use in practice - Student will be able to define and establish initial and boundary conditions in mathematical modeling of forming processes independently, - Student will be able to critically evaluate the results of simulations, to find weaknesses and to propose modifications of the model to increase its accuracy

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. Students are encouraged to apply creatively the skills and knowledge gained at the stage of preparation of the project and at the stage of elaboration and analysis of the result.

Compulsory literature:

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

Recommended literature:

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

Way of continuous check of knowledge in the course of semester

Ústní zkouška s písemnou přípravou, součástí hodnocení je předchozí odevzdání projektu na zadané téma


Other requirements

Theoretical analysis of selected problem using current scientific literature. Design and defense of a semester project.


Subject has no prerequisities.


Subject has no co-requisities.

Subject syllabus:

Introduction to mathematical modeling, principles of mathematical model, analytical solution of Poisson's and Laplace's equation, the finite element method, a variation of a functional, properties of basis functions. Patterns of creating finite element mesh (accuracy vs. computation speed), mesh quality evaluation, mesh modification according to the needs of a particular model. Boundary and initial conditions for modeling of forming processes - an overview, the pitfalls of the conventional methods of their determination, the principles of inverse analysis. Thermo-mechanical analysis in forming, interdependence of individual variables, levels of analysis. Semester project assignment according to the student's specialization (forging, rolling, wire drawing, etc.). Design of main experiment plan. Design of additional physical experiments and measurements. Presentation of project results.

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

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner

Assessment of instruction

Předmět neobsahuje žádné hodnocení.