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Tytuł artykułu

Determination of the initial thickness of tubes subjected to bending. Part II. Discussion and analysis of obtained results

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Wybrane pełne teksty z tego czasopisma
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Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In this second part of the paper, applying epressions derived in Part I, the exemplary calculations of the initial thickness of a metallic tube subject to bending at bending machines are presented. The expressions for calculating of the initial thickness were presented for a suitable measure of the big actual radius Ri in the bending zone for an exact (general) solution and for three formal simplifications of the 1st, 2nd, and 3rd order. In the calculations the external or internal diameter of the tube subjected to bending is applied as a parameter. In this paper, the author shows that the calculated initial thickness of the tube (for the same parameters of bending) depending on the external diameter is lower than that calculated depending on the internal diameter. For example, the expression for calculation of deformations included in the UE Directive [1], contains dependence on dext not on dint. The results of the calculations are presented in the graphs and tables enclosed.
Rocznik
Strony
497--507
Opis fizyczny
Bibliogr. 27 poz., tab., wykr.
Twórcy
  • Opole University of Technology Faculty of Applications of Chemistry and Mechanics Luboszycka 7, 45-036 Opole
Bibliografia
  • 1. EN 13445-4 (2009), Unfired Pressure Vessels – Part 4: Fabrication, Tube Bents, or earlier: Draft Standart EN UFPV (1996): Unfired Pressure Vessels – Part 4: Manufacture. CEN/TC54/267 JWGB N277, rev. 5.
  • 2. Śloderbach Z., Strauchold Sz., Approximate methods of strain calculations in the tube bending process [in Polish], Technical Inspection, No 1, 1–6, 1999.
  • 3. Śloderbach Z., A model for strain geometry evaluation in pipe bending processes, Engineering Transactions, 47, 1, 3–20, 1999.
  • 4. Śloderbach Z., Rechul Z., Effect of strain hardening and normal anisotropy on allowable values of strain and stress in pipe-bending processes, Journal of Theoretical and Applied Mechanics, 4, 38, 843–859, 2000.
  • 5. Śloderbach Z., Some problems of mechanics in pipeline bending processes [in Polish], Publishing House of Wrocław University of Technology, Wrocław, 2002.
  • 6. Śloderbach Z., Genaralized model of strains during bending of metal tubes in bending machines, Journal of Theoretical and Applied Mechanics, 52, 4, 1093–1106, 2014.
  • 7. Śloderbach Z., Derivation of relations and analysis of tube bending processes using discontinuous fields of plastic strains. Part I. Derivation of the geometric-analytic relationships. Part II. Discussion and analysis of the obtained results, International Journal of Applied Mechanics and Engineering, 20, 2, 417–435, 2015 (in print).
  • 8. Śloderbach Z., Pajak J., Determination of the required thicknesses of pipe elbows on the basis of expressions resulting from EU-Directive, Archives of Applied Mechanics, 85, 5, 629–640, 2015.
  • 9. Franz W.D., Das Kalt-Biegen von Rohren, Springer-Verlag, Berlin 1961.
  • 10. Grunow O., Praktisches Rohrbiege, Springer-Verlag, Berlin, 1985.
  • 11. Korzemski J.W., Bending of thin-walled pipes [in Polish], WNT, Warszawa, 1971.
  • 12. UDT DT-UT-90/WO-W/06, General requirements. Manufacturing. Bending pipes of pressure elements [in Polish], Job Publishing Company Legal, Warszawa, 1991.
  • 13. UDT CONDITIONS (WUDT-UC-WO-O/02:10), Pressure Installations. General Requirements. Bengding Elbows. Strength Calculations [in Polish], Company Legal, Issue I, Warszawa, 2003.
  • 14. Wick Ch., Benedict J.T., Veilleux R.F., Tool and manufacturing engineers handbook. A reference book for manufacturing engineers, managers and technicans, Forming, Vol. II, 4th ed., Society of Manufacturing Engineers, Dearbon, Michigan, 2001.
  • 15. Dobosiewicz J., Wojczyk K., Life assessment in steam pipeline bends [in Polish], Power Industry, No 3, 88–90, 1998.
  • 16. Dzidowski E.S., Strauchold Sz., Effect of technological factors in pipe bending on damage characteristics and reliability of power pipelines [in Polish], Scientifics Papers of the Opole Technical University, Series Eletric, No 46, 119–125, 1998.
  • 17. Życzkowski M., Tran L.B., Interaction curves corresponding to the decohesive carrying capacity of a cylindrical shell under combined loading, International Journal of Plasticity, 13, 6–7, 551–570, 1997.
  • 18. Tang N.C., Plastic-deformation analysis in tube bending processes, International Journal of Pressure Vessels and Piping, 77, 12, 751–759, 2000.
  • 19. Moore G.G., Wallace J.F., The effect of anisotropy on instability in sheet-metal forming. Journal of the Institute of Metals, 93, 2, 33–38, 1964/65.
  • 20. El-Sebaie M.G., Mellor P.B., Plastic instability conditions in the deep-drawing of a circular blank of sheet metal, International Journal of Mechanical Science, 14, 91–101, 1972.
  • 21. Marciniak Z., Limit deformations in sheet metal forming [in Polish], WNT, Warszawa, 1971.
  • 22. Gabryszewski Z., Gronostajski J., Fundamentals of Metal-Working Processes [in Polish], WNT, Warszawa, 1991.
  • 23. Haupt P., Continuum Mechanics and Theory of Materials, Springer-Verlag, Berlin – Heidelberg, 2002.
  • 24. Huttel C., Matzenmiller A., Extension of generalized plasticity to finite deformations and structures, International Journal of Plasticity, 36, 5255–5276, 1999.
  • 25. Pęcherski R.B., Finite deformation plasticity with strain induced anisotropy and shear banding, Journal of Materials Processing Technology, 60, 1–4, 35–44, 1996.
  • 26. Śloderbach Z., Pajak J., Generalized Coupled Thermoplasticity Taking into Account Large Strains: Part I. Conditions of Uniqueness of the Solution of Boundary-Value Problem and Bifurcation Criteria, Mathematics and Mechanics of Solids, 15, 3, 308–327, 2010.
  • 27. Życzkowski M., Szuwalski K., On the termination of the process of finite plastic deformations, Journal M´ecanique Theoretique et Applique, 1, Numero special, 175–186, 1982
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-5a5b5d8a-a5bf-4b7c-8b76-af71eda027db
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