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Plasticity of materials

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Course Unit Code633-3019/01
Number of ECTS Credits Allocated7 ECTS credits
Type of Course Unit *Compulsory
Level of Course Unit *Second Cycle
Year of Study *Second Year
Semester when the Course Unit is deliveredWinter Semester
Mode of DeliveryFace-to-face
Language of InstructionCzech
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
KAW016doc. Ing. Petr Kawulok, Ph.D.
Summary
The subject deals with mechanisms and mathematical description of plastic deformation, structural-forming processes taking place during hot and cold forming recpectivelly occuring during control cooling of forming products and provides a characteristic of progressive metallic materials.
Learning Outcomes of the Course Unit
Student will be able to identify grid disturbances, define the conditions of stress during forming, characterize the deformation of the monocrystal and polycrystal, define limit plasticity of metals, mathematically describe the stress - strain curves, analyze mathematical expression of softening processes, describe the possibility of austenite transformation during cooling steel, characterize the possibility of plastometric simulation and characterize the properties and usiabillity of progressive metallic materials.
Course Contents
• Crystalline structure of metals. Slipes and sliping planes - Sliping systems.
• Deffects of crystal lattice. Vacations, dislocations and their intersections, stacking faults. The stress around dislocation and energy.
• The tensity during forming, the general solution of spatial tensity.
• Limit plasticity of metals, plasticity hypothesis. Effect of tensity state on limits od plasticity. Conditions of plasticity, indicator of state of stress, determination of limits the stress states.
• Plastic deformation of monocrystall and polycrystall. The mechanism of plastic deformation. Increments of deformation stress.
• The stress - strain curves during hot and cold forming. The basic mathematical description of stress - strain curves, using of linear regression.
• Analysis of stress - strain curves controlled by dynamic softening processes.
• The kinetics of recrystallization - the Avrami equation. The influence of thermomechanical conditions on kinetics of static and dynamic recrystallization.
• The controll evolution of structure during deformation and during cooling of hot formed products.
• The austenite transformation during cooling of steels. The characteristic and possibility of usinig transformation diagrams with influence of deformation.
• The possibility aplication of plastometric simulation. The basic mathematical expression of stress and strain. Applicability to real forming processes.
• The characteristics and usiability of progressive metallic materials.
Recommended or Required Reading
Required Reading:
[1] BANABIC, D. et al. Formability of Metallic Materials: plastic anisotropy, formability testing, forming limits. New York: Springer, 2000. ISBN 3-540-67906-5.
[2] GRONOSTAJSKI, Z. The constitutive equations for FEM analysis. Journal of Materials Processing Technology. 2000, 106(1-3), 40-44. ISSN 0924-0136.
[3] KAWULOK, R., et al. Transformation kinetics of selected steel grades after plastic deformation. Metalurgija. 2016, 55(3), 357-360. ISSN 0543-5846.
[1] http://katedry.fmmi.vsb.cz/Opory_FMMI/633/633-Plasticita%20mareri%C3%A1lu.pdf.
[2] BANABIC, D. et al. Formability of Metallic Materials: plastic anisotropy, formability testing, forming limits. New York: Springer, 2000. ISBN 3-540-67906-5.
[3] GRONOSTAJSKI, Z. The constitutive equations for FEM analysis. Journal of Materials Processing Technology. 2000, 106(1-3), 40-44. ISSN 0924-0136.
[4] KAWULOK, R., et al. Transformation kinetics of selected steel grades after plastic deformation. Metalurgija. 2016, 55(3), 357-360. ISSN 0543-5846.
Recommended Reading:
[1] KAWULOK, P., et al. Credibility of various plastometric methods in simulation of hot rolling of the steel round bar. Metalurgija. 2014, 53(3), 299-302. ISSN 0543-5846.
[2] KAWULOK, R., et al. Effect of deformation on the CCT diagram of steel 32CrB4. Metalurgija. 2015, 54(3), 473-476. ISSN 0543-5846.

[1] ELFMARK, J. Plasticita kovů. 1. vydání. Ostrava: VŠB Ostrava, 1986.
[2] KAWULOK, P., et al. Credibility of various plastometric methods in simulation of hot rolling of the steel round bar. Metalurgija. 2014, 53(3), 299-302. ISSN 0543-5846.
[3] KAWULOK, R., et al. Effect of deformation on the CCT diagram of steel 32CrB4. Metalurgija. 2015, 54(3), 473-476. ISSN 0543-5846.
Planned learning activities and teaching methods
Lectures, Individual consultations, Tutorials, Experimental work in labs, Project work
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Credit and ExaminationCredit and Examination100 (100)51
        CreditCredit30 16
        ExaminationExamination70 35