# 652-0913/01 – Mathematical Modeling of Forming Processes (MMTPPhD)

 Gurantor department Department of Metallurgical Technologies Credits 10 Subject guarantor doc. Ing. Radim Kocich, Ph.D. Subject version guarantor doc. Ing. Radim Kocich, Ph.D. Study level postgraduate Requirement Choice-compulsory type B Year Semester winter + summer Study language Czech Year of introduction 2022/2023 Year of cancellation Intended for the faculties FMT Intended for study types Doctoral
Instruction secured by
KAW016 doc. Ing. Petr Kawulok, Ph.D.
KOC15 doc. Ing. Radim Kocich, 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

Lectures
Individual consultations
Experimental work in labs
Project work

### Summary

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.

### Prerequisities

Subject has no prerequisities.

### Co-requisities

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: 2022/2023 Winter semester)
Min. number of pointsMax. počet pokusů
Examination Examination   3
Mandatory attendence participation:

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Conditions for subject completion and attendance at the exercises within ISP:

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### Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2023/2024 (P0715D270006) Metallurgical Technology P Czech Ostrava Choice-compulsory type B study plan
2023/2024 (P0715D270006) Metallurgical Technology K Czech Ostrava Choice-compulsory type B study plan
2022/2023 (P0715D270006) Metallurgical Technology P Czech Ostrava Choice-compulsory type B study plan
2022/2023 (P0715D270006) Metallurgical Technology K 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

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