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Abstrakty
The relations to calculate the maximum value of strains in processes of bending tubes on benders, in stretched layers of tubes, are presented in this work on the basis of the EU-Directive concerning production of pressure equipment. It has been shown that for large deformations that occur during bending of the pipes on knees, logarithmic strain measures (real) and relative strain measures give different values of strain but equal wall thicknesses in the bending zone. Logarithmic measures are frequently used in engineering practice and are valid for large and small deformations. Reverse expressions were also derived to calculate the required initial wall thickness of the tube to be bent, in order to obtain the desired wall thickness of the knee after bending.
Rocznik
Tom
Strony
1113--1127
Opis fizyczny
Bibliogr. 36 poz., wykr.
Twórcy
autor
- Opole University of Technology Faculty of Applications of Chemistry and Mechanics 45-036 Opole, ul. Luboszycka 7, POLAND
Bibliografia
- [1] Śloderbach Z. and J. Pajak J. (2015): Determination of the thickness of pipe elbows on the basis of expressions resulting from EU-Directive. – Archive of Applied Mechanics, Springer, vol.85, No.5, pp.629-640.
- [2] Śloderbach Z. (2015): Calculations of the strains and thicknesses of pipe elbows on the basis of expressions resulting from the EU Directive for the case of large strains. – Engineering Transactions, vol.63, No.3, pp.361-376.
- [3] EN 13445-4. (2009): Unfired Pressure Vessels” – Part 4: Fabrication, (point 9.2.4 Tube Bents, expression 9.2-4), 2009 or earlier: Draft Standart EN UFPV “Unfired Pressure Vessels” – Part 4. “Manufacture”. CEN/TC54/267JWGB N277, rev. 5 May.
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- [10] Olszak W., Perzyna P., Sawczuk A. (1981): Theory of Plasticity. – Warszawa: PWN.
- [11] Życzkowski M. (1981): Combined Loading in the Theory of Plasticity. – PWN-Nijhoff, Warszawa-Alpen aan den Rijn.
- [12] Śloderbach Z. and Strauchold Sz. (1999): Approximate methods for evaluating strains in pipe bending processes [in Polish]. – Technical Inspection (Dozór Techniczny), vol.1, pp.1-6.
- [13] Śloderbach Z. (2002): Some Problems of Mechanics in Pipeline Bending Processes [in Polish]. – Publishing Mouse of Wrocław University of Technology, Wrocław.
- [14] Śloderbach Z. (2015): 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, vol.20, No.2, pp.417-435.
- [15] Śloderbach Z. (2015): Determination of the initial thickness of a tubes to bending. Part I. Derivation of the Basic expressions and relationship. Part II. Discussions and analysis of the obtained results. – Engineering Transactions. vol.63, No.4, pp.481-495, pp.497-507.
- [16] Franz W.D. (1961): Das Kalt-Biegen von Rohren. – Berlin: Springer-Verlag.
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- [19] Korzemski J. (1971): Thin-Walled Pipe Bending [in Polish]. – Warszawa: WNT.
- [20] Śloderbach Z. (2014): Genaralized model of strains during bending of metal tubes in bending machines. – Journal of Theoretical and Applied Mechanics, vol.52, No.4, pp.1093-1106.
- [21] Śloderbach Z. and Z. Rechul Z. (2000): Effect of strain hardening and normal anisotropy on allowable values of strain and stress in pipe-bending processes. – Journal of Theoretical and Applied Mechanics, vol.38, No.4, pp.843-859.
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- [26] Zhang Z., Yang H., Li H., Ren N., Tian Y. (2011): Bending behaviors of large diameter thin walled CP-Ti tube In rotary draw bending, Progress in Natural Science: Materials International, vol.21, pp.401-412.
- [27] Zhiqiang J., Mei Z., He Y., Xudong X., Guangjun L. (2011): Deformation behavior of medium strength TA18 highpressure tubes during NC bending, with different bending radii. – Chinese Journal of Aeronautics, vol.24, pp.657-664.
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- [35] Śloderbach Z. and Pajak J. (2010): 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, vol.15, No.3, pp.308-327.
- [36] Śloderbach Z. (2017): Application of the continuous and discontinuous fields of plastic deformations to the evaluations of the initial thickness of bent tubes. – Journal of Engineering Materials and Technology, vol.139, No.1, pp.011009-1- 011009-10.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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