| Course Unit Code | 633-3017/01 |
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| Number of ECTS Credits Allocated | 6 ECTS credits |
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| Type of Course Unit * | Compulsory |
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| Level of Course Unit * | Second Cycle |
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| Year of Study * | First Year |
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| Semester when the Course Unit is delivered | Summer Semester |
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| Mode of Delivery | Face-to-face |
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| Language of Instruction | Czech |
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| Prerequisites and Co-Requisites | Course succeeds to compulsory courses of previous semester |
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| Name of Lecturer(s) | Personal ID | Name |
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| SH135 | prof. Ing. Ivo Schindler, CSc. |
| Summary |
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| The subject forms the theoretical basis of the consequent technological subjects in field of material forming. The attention is paid mainly to state of stress, deformation and deformation rate, their tensor expression and state of stress invariance. |
| Learning Outcomes of the Course Unit |
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| Student will be able to determine mathematically the principal quantities connected with plastic deformation, and utilize them at description of strain / stress states as well as at solving the differential equations of equilibrium for the individual forming processes. Thus he gains the necessary theoretical basis for study of the consequent technological subjects in field of material forming. |
| Course Contents |
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Theoretical principles of plastic deformation, strain and strain rate.
Tension on coordinate planes, normal and tangential (shear) stress components.
State of stress in common plane, octahedral plane.
Principal normal stress, state of stress ellipsoid.
State of stress invariance and mathematical formulation of three invariants.
Mohr circles, tension in octahedral plane.
Graphical determination of tangential tension, stress tensor.
Schemas of principal stresses, deviator schema of stress and invariance of stress deviator.
Stress intensity and its determination by various methods.
States of stress, state of stress indicator.
Differential equation of equilibrium in rectangular coordinates.
Outline of solving differential equation of equilibrium in cylindrical and spherical coordinates.
Differential equation of equilibrium in roll gap at longitudinal rolling.
Tensor expression of strain and strain rate, schemas of deformation.
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| Recommended or Required Reading |
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| Required Reading: |
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[1] ALTAN, T., S. OH and H. L. GEGEL. Metal forming: fundamentals and applications. Metals Park: American Society for Metals, 1983. ISBN 0-87170-167-7.
[2] SLUZALEC, A. Theory of Metal Forming Plasticity. Berlin Heidelberg: Springer-Verlag, 2004. ISBN 978-3-540-40648-8.
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[1] http://katedry.fmmi.vsb.cz/Modin_Animace/Opory/02_Metalurgicke_inzenyrstvi/12_Teorie_tvareni/Kliber_Teorie_tvareni.pdf
[2] KLIBER, J. Základy tváření kovů. Skriptum VŠB-TU Ostrava, 1998.
[3] ALTAN, T., S. OH and H. L. GEGEL. Metal forming: fundamentals and applications. Metals Park: American Society for Metals, 1983. ISBN 0-87170-167-7.
[4] SLUZALEC, A. Theory of Metal Forming Plasticity. Berlin Heidelberg: Springer-Verlag, 2004. ISBN 978-3-540-40648-8.
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| Recommended Reading: |
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| [1] DAHL, W. et al., ed. Umformtechnik Plastomechanik und Werkstoffkunde. Düsseldorf: Verlag Stahleisen, 1993. ISBN 3-514-00402-1. |
| [1] DAHL, W. et al., ed. Umformtechnik Plastomechanik und Werkstoffkunde. Düsseldorf: Verlag Stahleisen, 1993. ISBN 3-514-00402-1. |
| Planned learning activities and teaching methods |
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| Lectures, Individual consultations, Tutorials, Project work |
| Assesment methods and criteria |
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| Task Title | Task Type | Maximum Number of Points
(Act. for Subtasks) | Minimum Number of Points for Task Passing |
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| Credit and Examination | Credit and Examination | 100 (100) | 51 |
| Credit | Credit | 30 | 16 |
| Examination | Examination | 70 | 35 |