633-3017/01 – Forming theory (TTIng)
| Gurantor department | Department of Materials Forming | Credits | 6 |
| Subject guarantor | prof. Ing. Ivo Schindler, CSc. | Subject version guarantor | prof. Ing. Ivo Schindler, CSc. |
| Study level | undergraduate or graduate | Requirement | Compulsory |
| Year | 1 | Semester | summer |
| | Study language | Czech |
| Year of introduction | 2019/2020 | Year of cancellation | |
| Intended for the faculties | FMT | Intended for study types | Follow-up Master |
Subject aims expressed by acquired skills and competences
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.
Teaching methods
Lectures
Individual consultations
Tutorials
Project work
Summary
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.
Compulsory literature:
Recommended literature:
Way of continuous check of knowledge in the course of semester
Written test.
E-learning
Other requirements
Elaboration of semester project.
Prerequisities
Subject has no prerequisities.
Co-requisities
Subject has no co-requisities.
Subject syllabus:
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.
Conditions for subject completion
Occurrence in study plans
Occurrence in special blocks
Assessment of instruction