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Some Selected Tasks from Elasticity and Plasticity

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Course Unit Code330-0546/02
Number of ECTS Credits Allocated4 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 InstructionEnglish
Prerequisites and Co-Requisites Course succeeds to compulsory courses of previous semester
Name of Lecturer(s)Personal IDName
FRY72prof. Ing. Karel Frydrýšek
Summary
Curved beams and frames (theory, analytical methods of solution and solution via Finite Element Method). Straight beams on elastic foundation (theory, analytical and numerical methods of solution and solution via Finite Element Method), influence of temperature, shearing and normal forces on displacement). Curved beams and frames on elastic foundation (theory, analytical methods of solution and solution via Finite Element Method). Staistical methods in mechanics (reliability of structures and machine parts, SBRA method -- Simulation-Based Reliability Assessment), Moment theory of shell structures (theory, analytical methods and solution via Finite Element Method). Elastomers (theory and solution via Finite Element Method, detection of material behaviour). Modern approaches in the tasks of plasticity (theory and solution via Finite Element Method, forging, cyclic plasticity).
Learning Outcomes of the Course Unit
Naučit studenty vyšší úlohy a další metody používané při řešení technických problémů pružnosti a plasticity (tj. mechaniky materiálu). Zajistit pochopení probírané látky. Aplikovat získané zkušenosti v praxi.
Course Contents
Curved beams and frames (theory, analytical methods of solution and solution via Finite Element Method). Straight beams on elastic foundation (theory, analytical and numerical methods of solution and solution via Finite Element Method), influence of temperature, shearing and normal forces on displacement). Curved beams and frames on elastic foundation (theory, analytical methods of solution and solution via Finite Element Method). Staistical methods in mechanics (reliability of structures and machine parts, SBRA method -- Simulation-Based Reliability Assessment), Moment theory of shell structures (theory, analytical methods and solution via Finite Element Method). Elastomers (theory and solution via Finite Element Method, detection of material behaviour). Modern approaches in the tasks of plasticity (theory and solution via Finite Element Method, forging, cyclic plasticity).
Recommended or Required Reading
Required Reading:
[1] HETÉNYI, M.: Beams on Elastic Foundation, Ann Arbor, University of Michigan Studies, USA, 1946.
[2] MELERSKI, E.,S.: Design Analysis of Beams, Circular Plates and Cylindrical Tanks on Elastic Foundations, Taylor & Francis, ISBN 978-0-415-38350-9, UK, 2006, pp.284.
[3] ARRUDA, E.M., BOYCE, M.C.: A Three Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials. J. Mech. Phys. Solids, Vol. 41, No.2, Pergamon Press, Oxford 1993.
[4] BOWES, W.H., RUSSELL, L.T., SUTER, G.T.: Mechanics of Engineering Materials. Wiley, New York, 1984.
[5] BROWN, R. a kol.: Handbook of Rubber. Chapman & Hall, London 2001.
[1] FRYDRÝŠEK, K.: Nosníky a rámy na pružném podkladu 1 (Beams and Frames on Elastic Foundation), VŠB-TU Ostrava, Faculty of Mechanical Engineering, ISBN 80-248-1244-4, Ostrava, Czech Republic, 2006, pp.463.
[2] FRYDRÝŠEK, K., JANČO, R.: Nosníky a rámy na pružném podkladu 2 (Beams and Frames on Elastic Foundation 2), Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, 2008, Czech Republic, pp.516.
[3] FRYDRÝŠEK, K., MARVALOVÁ, B., JÁGROVÁ, B.: Vybrané kapitoly z pružnosti a plasticity 1, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, Ostrava, ISBN 978-80-248-1855-9, Ostrava, 2008, Czech Republic, pp. 127.
[4] FRYDRÝŠEK, K.: Vybrané kapitoly z pružnosti a plasticity 2, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, ISBN 978-80-248-2100-9, Ostrava, 2009, Czech Republic, pp.126.
[5] FRYDRÝŠEK, K.: Praktikum software MSC.MARC/MENTAT - část 1, Faculty of Mechanical Engineering, VŠB-Technical University of Ostrava, ISBN 978-80-248-2125-2, Ostrava, 2009, Czech Republic, pp.154. (GAČR 103/07/0557)
[6] HUB, J.: Využití elastomerů v letecké technice, disertační práce v oboru Stavba a provoz letadel, Vojenská akademie v Brně, Fakulta vojenských technologií, katedra letadel a motorů, Brno 2003.
[7] FOREJT, M.: Teorie tváření. Skripta VUT, Brno 1992.
[8] Softwarová dokumentace programu MSC:MARC/Mentat.
[9] Softwarová dokumentace programu ANSYS.
[10] HETÉNYI, M.: Beams on Elastic Foundation, Ann Arbor, University of Michigan Studies, USA, 1946.
[11] MELERSKI, E.,S.: Design Analysis of Beams, Circular Plates and Cylindrical Tanks on Elastic Foundations, Taylor & Francis, ISBN 978-0-415-38350-9, UK, 2006, pp.284.
[12] ARRUDA, E.M., BOYCE, M.C.: A Three Dimensional Constitutive Model for the Large Stretch Behavior of Rubber Elastic Materials. J. Mech. Phys. Solids, Vol. 41, No.2, Pergamon Press, Oxford 1993.
[13] BOWES, W.H., RUSSELL, L.T., SUTER, G.T.: Mechanics of Engineering Materials. Wiley, New York, 1984.
[14] BROWN, R. a kol.: Handbook of Rubber. Chapman & Hall, London 2001.
Recommended Reading:
[1] MAREK, P., BROZZETTI, J., GUŠTAR, M., TIKALSKY P.: Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software, (2nd extended edition), ISBN 80-86246-19-1, ITAM CAS, Prague, Czech Republic, 2003, pp.471, Eurocode 3 - EN 1993, Design of Steel Structure.
[2] FRYDRÝŠEK, K., GONDEK, H.: Finite Element Model of the Ore Disintegration Process, In: Annals of the Faculty of Engineering Hunedoara – Journal of Engineering, Tome VI, Fascicule 1, ISSN 1584 – 2665, University “Politechnica” Timisoara, Faculty of Engineering – Hunedoara, Romania, 2008, pp. 133-138.
[1] KONEČNÝ, P., MAREK, P., GUŠTAR, M.: Druhá dekáda rozvoje metody SBRA (přehled referencí a hlavních aktivit na UTAM AV ČR, v.v.i. a na VŠB-TU Ostrava za období 1997-2006), Ústav teoretické a aplikované mechaniky Akademie věd České republiky, v.v.i., Praha, Czech Republic, 2007, ISBN 978-80-86246-30-7, pp.67.
[2] VÁCLAVEK, L.: Analytické výpočtové modely, teorie druhého řádu a pravděpodobnostní posudek spolehlivosti konstrukcí, Habilitační práce, katedra pružnosti a pevnosti, Faculty of Mechanical Engineering, VŠB-TU Ostrava, Ostrava, Czech Republic, 2006, pp. 137.
[3] FRYDRÝŠEK, K.,: Výpočet tepelných namáhání stávající sestavy bočnice spekacího pásu dle dodané dokumentace pro rozsah teplot 0 - 750 °C (výpočtová zpráva), katedra pružnosti a pevnosti, Faculty of Mechanical Engineering, VŠB-TU Ostrava, Czech Republic, 2006, pp.11.
[4] MAREK, P., BROZZETTI, J., GUŠTAR, M., TIKALSKY P.: Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software, (2nd extended edition), ISBN 80-86246-19-1, ITAM CAS, Prague, Czech Republic, 2003, pp.471,
Eurocode 3 - EN 1993, Design of Steel Structure.
[5] FRYDRÝŠEK, K., GONDEK, H.: Finite Element Model of the Ore Disintegration Process, In: Annals of the Faculty of Engineering Hunedoara – Journal of Engineering, Tome VI, Fascicule 1, ISSN 1584 – 2665, University “Politechnica” Timisoara, Faculty of Engineering – Hunedoara, Romania, 2008, pp. 133-138.
Planned learning activities and teaching methods
Lectures, Tutorials
Assesment methods and criteria
Task TitleTask TypeMaximum Number of Points
(Act. for Subtasks)
Minimum Number of Points for Task Passing
Graded creditGraded credit100 51