Course detail
Theory of Metal-forming
FSI-HTA-KAcad. year: 2023/2024
Complex engineering solutions of the technological processes of metal-forming are based on the theory of plasticity and theory of metal-forming with systems of computer support. The content of the course starts from selected chapters of the physical essence of plastic strain, formability of metals and alloys, fundamentals of mathematical theory of plasticity, and experimental/analytical methods for the theoretical solution of metal-forming processes. The course provides the basic knowledge of and skills in mathematically describing metal-forming processes while applying the physical, chemical, mechanical and thermodynamic principles of the transition of metallic bodies from elastic into plastic state in the course of their plastic deformation into the required shape. The course also addresses the problem of determining the loading of metal-forming tools and machines, carries out analyses of deformation, establishes critical strain values and offers an introduction to computer-aided modelling of metal-forming processes.
Language of instruction
Number of ECTS credits
Mode of study
Guarantor
Entry knowledge
Rules for evaluation and completion of the course
1) the physical essence of plastic deformation and formability of metals and alloys,
2) mathematical theory of plasticity,
3) methods for solving metal-forming processes. Oral examination follows a preliminary written preparation answering the drawn complex question with 3 sub-questions concerning the basic areas of the course. The main emphasis is on understanding the method of solution and the ability to apply the known analytical and experimental calculation models.
The exam is public, it will have written preparation and oral part. It is classificated to the ECTS grading scale.
Attendance in lectures is recommended.
Attendance in exercises is compulsory.
The attendance to the seminar is regularly checked and the participation in the lesson is recorded.
Absence from laboratory exercises is compensated for via make-up topics of exercises and consultations.
Aims
The course offers students the knowledge necessary for simplified mathematical representation of forming processes while applying the physical, chemical, mechanical and thermodynamic principles of metallic bodies changing from the elastic into the plastic state, and when these bodies are plastically deformed into the required shape. Students will learn how to determine the loading of the forming tool or machine, and how to determine the critical values of deformation.
Study aids
Prerequisites and corequisites
Basic literature
LANGE,K.:Handbook of Metal Forming.1st ed.McGraw-Hill Book Comp., New York, London, Hamburg, 1985. 1236p.ISBN 0-07-036285-8
MIELNIK E.M.: Metalworking Science and Engineering. McGraw-Hill Book Comp., 1991
Recommended reading
FOREJT, M.: Teorie tváření- Návody do cvičení, Sylabus. Studijni opory FSI VUT Brno, 2004
FOREJT M.: Teorie tváření. 2.vydani. CERM Akadem.nakl. Brno, 2004. 168 s. ISBN 80-214-2764-7.
FOREJT, Milan a Miroslav PÍŠKA. Teorie obrábění, tváření a nástroje. Milan Forejt; Design obálky: Ildikó Putzová. 2. vyd. Brno: Akademické nakladatelství CERM, 2008. 226 s. ISBN 80-214-2374-9.
Elearning
Classification of course in study plans
Type of course unit
Guided consultation in combined form of studies
Teacher / Lecturer
Syllabus
1. Physical substance of plastic deformation. Formability of metals and alloys.
2. Resistance to deformation, effect of basic parameters. Deformation work and force.
3. Summary of the fundamentals of mathematical theory of plasticity. Partial theories.
4. Conditions of the appearance of plastic deformation. Analysis of the deformation process.
5. Analytical and analytical-experimental methods for solving metal-forming processes.
6. Upsetting between parallel planes, the Siebel and the Unksov solutions.
7. Forward extrusion, stress and strain analysis.
8. Backward extrusion, solution after Dipper, Sachs and Siebel.
9. Die forging, solution after Tomlen, Gubkin, Gelei and Storozhev
10. Bending of thin bars and wide bands.
11. Deep drawing, stress and strain, calculation after Sachs and Sofman.
12. Method of resistance to deformation. Theory of small elastic-plastic deformations.
13. State of stress in free and closed shear and in precise shearing.
Laboratory exercise
Teacher / Lecturer
Syllabus
1. Problems of the physical substance of plastic deformation, demonstrations, report.
2.Evaluation of the parameters of deformation, deformation rate, report.
3.Calculation of main and effective stress, graphic interpretation, report.
4.Evaluation of resistance to deformation curves obtained from experiments.
5.Calculation of resistance to deformation and forces in upsetting, report.
6.Stress and forces in forward extrusion, report.
7.Stress and forces in backward extrusion, report.
8.Die forging, calculation of forging forces, report.
9.Calculation of bending forces and springing-back, report.
10.Stress, forces and number of drawing operations, report.
11.Evaluation of stress and strain on a drawn part, report.
12.Stress in current and precise shearing, report.
13.Conclusion of exercises, discussion of reports. Course-unit credit.
Guided consultation
Teacher / Lecturer
Syllabus
1. Physical substance of plastic deformation. Formability of metals and alloys.
2. Resistance to deformation, effect of basic parameters. Deformation work and force.
3. Summary of the fundamentals of mathematical theory of plasticity. Partial theories.
4. Conditions of the appearance of plastic deformation. Analysis of the deformation process.
5. Analytical and analytical-experimental methods for solving metal-forming processes.
6. Upsetting between parallel planes, the Siebel and the Unksov solutions.
7. Forward extrusion, stress and strain analysis.
8. Backward extrusion, solution after Dipper, Sachs and Siebel.
9. Die forging, solution after Tomlen, Gubkin, Gelei and Storozhev
10. Bending of thin bars and wide bands.
11. Deep drawing, stress and strain, calculation after Sachs and Sofman.
12. Method of resistance to deformation. Theory of small elastic-plastic deformations.
13. State of stress in free and closed shear and in precise shearing.
Elearning