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Conditions of stability loss during the test of hydraulic forming of drawpieces. Part I. Derivation of basic equations and relationships

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Języki publikacji
EN
Abstrakty
EN
The paper contains two parts. In the first part, basic relationships were derived and some problems connected with stability loss during hydraulic forming of round metallic drawpieces with liquid pressure were discussed. The aim of the considerations is to test drawability of sheets by estimation of acceptable values of plastic strains and the corresponding heights of spherical shells. The analysis was based on some selected real conditions of stability loss. The influence of the coefficient of material hardening for the drawpiece, the coefficient of normal anisotropy and coefficients of plane anisotropy on acceptable values of plastic strains and heights of the formed drawpieces corresponding to the given condition of stability loss was also tested.
Rocznik
Strony
917--927
Opis fizyczny
Bibliogr. 29 poz., rys., wykr.
Twórcy
  • Opole University of Technology Faculty of Applications of Chemistry and Mechanics 45-036 Opole, Luboszycka 7, POLAND
Bibliografia
  • [1] Banasiak Cz. (1971): Influence of the Anisotropy and the Hardening on the Drawability of the Steel Sheet (in Polish). – Doctor’s Thesis, Technical University of Wrocław.
  • [2] Bressan J.D. and Williams J.A. (1983): The use of shear instability criterion to predict local necking in sheet metal deformation. – International Journal of Mechanical Science, vol.25, No.3, pp.155-168.
  • [3] El-Sebaie M.G. and Mellor P.B. (1972): Plastic instability conditions in the deep-drawing of a circular blank of sheet metal. – International Journal of Mechanical Science, vol.14, pp.535-556.
  • [4] Gabryszewski Z. and Gronostajski J. (1991): Mechanics of Processes of the Plastic Forming of Metals (in Polish). – Warszawa: PWN.
  • [5] Hill R. (1986): Mathematical Theory of Plasticity. – London: Oxford, Clarendon Press.
  • [6] Hill R. (1983): On intransic eigenstates in plasticity with generalized variables. – Mathematical Proceedings of Cambrigde Philosophy and Society., vol.93, pp.177-189.
  • [7] Jentet J. (1961): Determination of the deep drawing capacity of light sheet metal on the basis of laboratory test. – Sheet Metal Industry, vol.38, No.415.
  • [8] Johnson W. and Mellor P.B. (1975): Engineering Plasticity. – van Nostrand Reinhold Company, London.
  • [9] Kaczanow L.N. (1969): Fundamentals of the Theory of Plasticity (in Russian). – Publishing House “Science” - Izdiatielstwo „Nauka”, Moskwa.
  • [10] Marciniak Z. (1961): Mechanics of processes of the sheet-metal forming. – Warszawa: WNT.
  • [11] Marciniak Z. (1966): Loss of the Stability of stretched coatings. – Theoretical and Applied Mechanics.
  • [12] Marciniak Z. (1968): Analysis of the Stability of the Thin-Walled Coating in the Plastics State (in Polish). – Engineering Transactions, vol.4, Warszawa.
  • [13] Marciniak Z. (1971): Limit Deformations in Sheet Metal Stamping (in Polish). – Warszawa: WNT.
  • [14] Marciniak Z. and Kuczyński K. (1967): Limit Strains in the Processes of Stretch-Forming Sheet Metal. – International Journal of the Mechanical Science, vol.9.
  • [15] Mellor P.B. (1969): Plastic Instability in Tension. – The Eingineer, No.25.
  • [16] Michałowski Z. (1967): The Attempt of the Drawability and Resistances to Fracture of Thin Metal Sheets by Hydraulic Method (in Polish). – Notebooks of the Institute of Aviation, vol.3, No.3.
  • [17] Moore G.G. and Wallace J.F. (1964/1965): The effect of anisotropy on instability in sheet-metal forming. – Journal of the Institute of Metals, vol.93, No.2, pp.33-38.
  • [18] Okamoto T., Matsuoka T., Mayaski Y. and Sudo C. (1968): Ductile Fracture Strains of Steel Sheet by Hydraulic Bulge Test. – La Metalurgia Italiana, No.8.
  • [19] Ostrowska-Maciejewska J., Szeptyński P. and Pęcherski R.B. (2013): Mathematical foundations of limit criterion for anisotropic materials. – Archives of Metallurgy and Materials, vol.58, No.4, pp.1223-1235.
  • [20] Pęcherski R.B. (1996): Finite deformation plasticity with strain induced anisotropy and shear banding. – Journal of Materials Processing Technology, vol.60, pp.35-44.
  • [21] Pęcherski R.B. (1998): Macroscopic effects of micro-shear banding in plasticity of metals. – Acta Mechanica, vol.131, pp.203-224.
  • [22] Piwnik J. (1985): Analysis of axially - symmetrical processes of plastic processing (in Polish). – Habilitation Thesis, Prace IPPT-PAN (IFTR-PAS Reports), No.44, Warsaw, pp.1-215.
  • [23] Piwnik J. (1991): Mechanics of processes of the extrusion of metals (in Polish). – Technical University of Białystok, Science Transactions, No.6, Białystok.
  • [24] Sokołowski W.W. (1957): Theory of Plasticity (in Polish). – Warsaw: PWN.
  • [25] Swift H.W. (1952): Plastic Instability Under Plane Stress. – Journal of the Mechanics and Physics of Solids, vol.1, No.1.
  • [26] Szczepiński W. (1967): Introduction to Analysis of Processes of Plastic Processing (in Polish). – Warsaw: PWN.
  • [27] Śloderbach Z. and Sawicki T. (1984): Evaluation of the Spherical Cap Height in a test of Hydraulic Forming for Certain Instability Conditions (in Polish). – IFTR-PAS Reports, No.4, Warsaw.
  • [28] Życzkowski M. (1981): Combined Loading in the Theory of Plasticity. – PWN - Nijhoff, Warsaw - Alpen aan den Rijn.
  • [29] Życzkowski M. and Szuwalski K. (1982): On the termination of the process of finite plastic deformations. – Journal de Mécanique Theoretique Applique, vol.1, Numero special, pp.175-186.
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Bibliografia
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bwmeta1.element.baztech-5292779f-3e7e-4914-9175-400327d44adc
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