633-3002/01 – Forming theory (TTv)
Gurantor department | Department of Materials Forming | Credits | 6 |
Subject guarantor | prof. Ing. Jiří Kliber, CSc. | Subject version guarantor | prof. Ing. Jiří Kliber, CSc. |
Study level | undergraduate or graduate | Requirement | Choice-compulsory |
Year | 1 | Semester | summer |
| | Study language | English |
Year of introduction | 2014/2015 | Year of cancellation | 2021/2022 |
Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
Studednt will be able:
describe primary objective knowledge about theoretic principles of plastic deformation. Mathematical reasons of standard tension size like resistance at change volume.. Explain tension like tensor quantity with possibility subdivision after as much as tension deviator. As well analysis sizes intensity tension like resistance against deformation body and manners of graphic display. Analogy stress state on deformation and deformation velocity at forming.
Teaching methods
Lectures
Tutorials
Summary
The subject is focused on theoretic introduction into consequential technological articles in field of material forming. The attention is devoted on meaning of stress, deformation and deformation rate and knowledge tensor state and deviator state of stress problems. Is mentioned demonstration differential equation of equilibrium in rectangular coordinates and primary objective theoretic stress-strain terms.
Compulsory literature:
Recommended literature:
Additional study materials
Way of continuous check of knowledge in the course of semester
E-learning
Metal Forming Theory
Other requirements
elaboration of semester project completion a written tests
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
• Theoretic principles of plastic deformation. Outward and inward forces.
• Tension on co - ordinate levels. Method cuts. Three normal and six tangent stress component.
• State of stress in common level. Octahedral plane.
• Size of normal tension. Primary objective normal tension. Stress quadric. Primary objective shear tension.
• Mohr circles. Invariance stress and mathematical formulation of three invariants. Tension in octahedral level.
• Graphical determination shear tension. Stress tensor.
• Schematics principal stresses. Deviator diagram tension and invariance tension deviator.
• Stress intensity. Graphic solution of stress intensity intensity tension by various methods.
• Indicator stress intensity. Stress ( linear, planar - how normal so and shear stress, three-dimensional).
• Differential equation of equilibrium in rectangular coordinates. Outline solving differential part in cylindrical and spherical coordinates.
• Differential equation of equilibrium in rolling gap between rollers at lengthwise rolling.
• Deformation of formed body. Deformation rate. Stress tensor formulation, deformation rate, schematics deformation. Interrelations between tension and deformation.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction