633-0913/02 – Mathematical Modeling of Forming Processes (MMTPPhD)
| Gurantor department | Department of Materials Forming | Credits | 10 |
| Subject guarantor | doc. Ing. Richard Fabík, Ph.D. | Subject version guarantor | doc. Ing. Richard Fabík, Ph.D. |
| Study level | postgraduate | Requirement | Choice-compulsory type B |
| Year | | Semester | winter + summer |
| | Study language | English |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Doctoral |
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:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Oral exam with written preparation, part of the evaluation is the previous submission of the project on the given topic
E-learning
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
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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