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A simple algorithm for formability analysis

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Purpose: of this paper is to develop a simple algorithm for local and diffuse necking analysis, which covers different yield criteria and strain hardening laws. Design/methodology/approach: Theoretical study, application of plasticity theory. Numerical analysis, FLD determination. Experimental verification (material parameters and FLD). Comparison of obtained results with the results available in literature. Both, stress and strain based FLD-s are considered. Findings: The dimensionless in stability tensors are introduced. The plastic instability criterion in tensor notation is derived. The capabilities of the derived instability criteria are improved using different anisotropic yield criteria from Hill48 up to BBC2003. A test procedure for determining material properties and forming limits in plane strain condition for sheet metal is performed. Reseach limitations/implications: The study is based on classical instability conditions. The stress-strain behavior of the material is described with empirical equation (the strain rate and also temperature dependence of the flow stress are not considered). Practical implications: The forming limit curve determined defines boundary between elastic or stable plastic deformation (below curve) and unsafe flow (above curve). The risk of failure is determined by the distance between the actual strain condition in the forming process and the forming limit curve. Originality/value: A simple algorithm for local and diffuse necking analysis is proposed. The dimensionless instability tensors introduced can be used for theoretical improvements.
Rocznik
Strony
57--60
Opis fizyczny
Bibliogr. 20 poz., rys.
Twórcy
autor
autor
autor
  • Mechanics Department, Tallinn University of Technology, Ehitajate tee 5, Tallinn 19086, Estonia, jmajak@staff.ttu.ee
Bibliografia
  • [1] S.P. Keeler, W.A Backofen, Plastic instability and fracture in sheet stretched over grid punches, American Society of Metals Transactions Quarterly 56 (1964) 25-48.
  • [2] G.M. Goodwin, Application of strain analysis to sheet metal forming in the press shop, Society of Automotive Engineers paper 680093 (1968).
  • [3] H. W. Swift, Plastic instability under plane stress, Journal of the Mechanics and Physics of Solids 1 (1952) 1-18.
  • [4] R. Hill, On discontinuous plastic states with special reference to localised necking in thin sheets, Journal of the Mechanics and Physics of Solids 1 (1952) 19-30.
  • [5] Z. Marciniak, K. Kuczyński, Limit strain in the process of stretch forming sheet metal, International Journal of Mechanical Sciences 9 (1967) 609-620.
  • [6] S. Storen, J.R. Rice, Localized necking in sheet, Journal of the Mechanics and Physics of Solids 23 (1975) 421-441.
  • [7] V. Tvergaard, Influence of voids on shear band instabilities under plane strain condition, International Journal of Fracture 17 (1981) 389-407.
  • [8] H. Aretz, O.S. Hopperstad, O.G. Lademo, Yield function calibration for orthotropic sheet metals based on uniaxial and plane strain tensile tests, Journal of Materials Processing Technology 186 (2007) 221-235.
  • [9] W.M. Sing, K.P. Rao, Study of sheet metal failure mechanisms based on stress state conditions, Journal of Materials Processing Technology 67 (1997) 201-206.
  • [10] W.M. Sing, K.P. Rao, Role of strain-hardening laws in the prediction of forming limit curves, Journal of Materials Processing Technology 63 (1997) 105-110.
  • [11] T.B. Stoughton, X. Zhu, Review of theoretical models of the strain-based FLD and their relevance to the stress - based FLD, International Journal of Plasticity 20 (2004) 1463-1486.
  • [12] M.H. Chen, L. Gao, D.W. Zuo, M. Wang, Application of the forming limit stress diagram to forming limit prediction for the multi-step forming of auto panels, Journal of Materials Processing Technology (in Press).
  • [13] H. Aretz, Numerical analysis of diffuse and localized necking in orthotropic sheet metals, International Journal of Plasticity 23 (2007) 798-840.
  • [14] E.M. Viatkina, W.A.M. Brekelmans, M.G.D Geers, A crystal plasticity based estimate for forming limit diagrams from textural inhomogeneities. Journal of Materials Processing Technology 168 (2005) 211-218.
  • [15] A.F. Avila, E.L.S. Vieira, Proposing a better forming limit diagram prediction: a comparative study, Journal of Materials Processing Technology 67 (2003) 201-206.
  • [16] R. Hill, Theoretical plasticity of textured aggregates Mathematical Proceedings of the Cambridge Philosophical Society 85 (1979) 179-191.
  • [17] R. Hill, A user-friendly theory of orthotropic plasticity in sheet metals, International Journal of Mechanical Sciences 35 (1993) 19-25.
  • [18] R. Logan, W.F. Hoshford, Upper-bound anisotropic yield locus calculating assuming <1 1 1> -pencil glide, International Journal of Mechanical Sciences 22 (1980) 419-430.
  • [19] F. Barlat, J. Lian. Plastic behavior and stretchability of sheet metals, International Journal of Plasticity 5 (1989) 51-66.
  • [20] D. Banabic, H. Aretz. D.S. Comsa, L. Paraianu, An improved analytical description of orthotropy in metallic sheets. International Journal of Plasticity 21 (2005) 493-512.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BOS3-0017-0017
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