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
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