633-0811/01 – Simulation of Forming Processes (MTP)
| Gurantor department | Department of Materials Forming | Credits | 6 |
| Subject guarantor | doc. Ing. Richard Fabík, Ph.D. | Subject version guarantor | doc. Ing. Richard Fabík, Ph.D. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 2 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2004/2005 | Year of cancellation | 2020/2021 |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Studen will be able to:
Describe fundamental principles of mathematical modeling
Solve 1D Poisson problems analytically
Clarify fundamental principles of finite element method
Define and modify boundary conditions of mathematical model
Analyze forming process in terms of thermomechanical bindings
Assemble model for description of microstructure evolution during forming
Teaching methods
Lectures
Tutorials
Project work
Summary
Introduction. Principles of physical and mathematical simulation of forming processes.
Mathematical training (stress, strain, mechanical principles, elasticity, plasticity). Analysis and technology in metal forming (forging, rolling, extrusion, drawing).
Termomechanical principles of continuum (heat, basic equation of heat transfer)
Tribology and boundary conditions (BC) of flat rolling. Evolution of microstructure and mechanical properties of final product.
Introduction to Finite element method (FEM) (variational formulation, creation of final elements meshes, basis function, construction of stiffness matrix, 1D problem of heat transfer and elasticity, 1. 2. and 3. kind of BC)
Estimation of forming parameters – inverse analysis (philosophy, optimization techniques).
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Semester project defended in class (30 points)
E-learning
E-learning materials in Czech language are prepared at present.
For electronic communication with pedagogues make use of appropriate university e-mail addresses, which find here: http://telsez.vsb.cz/Phonebook.faces (In e-mail subject write abbreviation of course - MTP).
Other requirements
The theoretical readiness for exercises (will be randomly checked). Attendance at seminars min 80%.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
Lectures
1. Introduction of subject. Principles of physical and mathematical simulation of forming processes. Mathematical background. (Poisson's equation, variation of functional).
2. ABC to Finite element method (FEM) (variation formulation, creating of finite element mesh, base function, creating of stiffness matrix, 1D problem of heat transfer and elasticity, Boundary conditions (BC) 1st, 2nd , 3rd a 4th type)
3. Analysis of forming processes (forging, rolling, extrusion, drawing)
4. Thermo-mechanical principles of (heat, Fourier equation of heat convection)
5. Tribological system, tribology of flat rolling, friction, Coulomb and Tresca Law of friction.
6. Interaction of contact surfaces (friction – measurement and computation of friction during rolling, heat transfer to the tools, measurement and computation of heat transfer coefficient).
7. Influence of process and materials parameters on contact phenomena (strain, strain rate, temperature, surface quality, scales, wear of rolls)
8. Conventional model of microstructure evolution (static recovery and recrystallization, metadynamic recrystallization, dynamic recovery and recrystallization, grain growth, precipitation). Microstructure evolution during heat treatment (hardening, tempering, annealing, phase fraction, mechanical properties).
9. Estimation of forming parameters – inversion analysis (basic principles, optimalization techniques)
Exercises
1. Software for mathematical simulation of forming FORGE. Setting of semestral project.
2. Hierarchy of FORGE.
3. Creating of geometry and finite element mesh (import from CAD)
4. Model of materials (rheology database, creation of customer equations)
5. Initial and boundary conditions.
6. Analysis (thermal, mechanical, combined, thermal treatment).
7. Results (evaluation, arrangement, export, creating of plots).
8. Semester project - finalization
9. Presentation and defend of project results
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction
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