Numerical study of the flange earring of deep-drawing sheets with stronger anisotropy

International Journal of Mechanical Sciences

Volumn 43, Issue 1, 2001, Pages 279-296

  Hu, P ^a   Liu, Y Q ^a   Wang, J C ^a  

^a JILIN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; COMPUTER SIMULATION; DEEP DRAWING; ELASTOPLASTICITY; FINITE ELEMENT METHOD; FLANGES; MATHEMATICAL MODELS; METAL STAMPING; PLASTIC DEFORMATION; PLATES (STRUCTURAL COMPONENTS); SHELLS (STRUCTURES); STRUCTURAL ANALYSIS;

ANISOTROPY YIELD FUNCTIONS; FLANGE EARRINGS; KIRCHOFF TRIANGLE PLATE SHELL ELEMENT MODELS;

SHEET METAL;

EID: 0035217264     PISSN: 00207403     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0020-7403(99)00119-8     Document Type: Article

References (36)

1. Hill R. A theory of the yielding and plastic flow of anisotropic metals. Royal Society of London Proceedings 1948; A 193:281.
2. Hershey AV. The plasticity of an isotropic aggregate of anisotropic face centered cubic crystals. Journal of Applied Mechanics 1954;76:241.
3. Hosford WF. A generalized isotropic yield criterion. Journal of Applied Mechanics 1972;39:607.
4. Bassani JL. Yield characterization of metals with transversely isotropic plastic properties. International Journal of Mechanical Sciences 1977;19:651.
5. Gotoh M. A theory of plastic anisotropy based on a yield function of fourth order (plane stress state). International Journal of Mechanical Sciences 1977;19:505.
6. Hill R. Mathematical theory of plasticity. Oxford: Clarendon Press, 1950.
7. Logon RW, Hosford WF. Upper-bound anisotropic yield locus calculations assuming {111}-pencil glide. International Journal of Mechanical Sciences 1980;22:419.
8. Jonas SE, Gillis PP. A generalized quadratic flow law for sheet metals. Metallurgical Transactions 1984;A15:129.
9. Budianski B. Anisotropic plasticity of plane-isotropic sheets. In: Dvorak GJ, Shield RT Editors, Mechanics and Material Behavior, Elsevier Science Publishers BV, Amsterdam, 1984, 15.
10. Barlat F. Crystallographic texture anisotropic yield surfaces and forming limits of sheet metals. Material Science Engineering 1987;91:55.
11. Barlat F, Lian J. Plastic behavior and stretchability of sheet metals. Part I: a yield function for orthotropic sheet under plane stress conditions. International Journal of Plasticity 1989;5:51.
12. Barlat F, Lege DJ, Brem JC. A six-component yield function for anisotropic materials. International Journal of Plasticity 1991;7:693.
13. Toh CH, Kobayashi S. Deformation analysis and blank design in square cup drawing. International Journal of Machines Tool Design and Research 1985;25(1):15.
14. Bishop JWF, Hill R. A theory of the plastic distorsion of a polycrystalline aggregate under combined stress. Philosophical Magazine 1951;42:414.
15. Yang DY, Kim YJ. A rigid-plastic finite element formulation for the analysis of general deformation of planar anisotropic sheet metals and its applications. International Journal of Mechanical Sciences 1986;28(12):825.
16. Neale KW, Chater E. Limit strain predictions for strain-rate sensitive anisotropic sheets. International Journal of Mechanical Sciences 1980;22:563.
17. Narasimhan K, Wagoner RH. Finite element modeling simulation of in-plane forming limit diagrams of sheets containing finite defects. Metallurgical Transactions 1991;A22:2655.
18. Tomita Y, Shindo A. Onset and growth of wrinkles in thin square plates subjected to diagonal tension. International Journal of Mechanical Sciences 1988;30(12):921.
19. Tomita Y, Shindo A. A study of bifurcation of thin square plate subjected to tension in its diagonal direction. Journal of JSTP 1985;(51-464):1249-55.
20. Tomita Y. Onset and growth of wrinkles in thin-walled bodies subjected to membrane type deformation. Advanced Technology of Plasticity 1990;3:1211.
21. Tomita Y, Shindo A. Bifurcation behavior of thin square elastic-plastic orthotropic plates subjected to diagonal tension. Proceedings of the Symposium on Plastic Instability, (Considere Memorial), Vol. 203, 1985.
22. Hu P, Na JX, Li DY. Bifurcation and post bifurcation behavior in sheet metal tension with strong anisotropy. Journal of Material Processing Technology 1988;74:276.
23. Hu P, Lian J, Liu YQ, Li YX. A quasi-flow corner theory of elastic plastic finite deformation. International Journal of Solids Structure 1998;35(15):1827.
24. Gotoh M, Ishise F. A finite element analysis of the rigid-plastic deformation of the flange in a deep-drawing process based on a fourth-degree yield function. International Journal of Mechanical Sciences 1978;20:423.
25. Gotoh M. A finite element analysis of the rigid-plastic deformation of the flange in a deep-drawing process based on a fourth-degree yield function-II. International Journal of Mechanical Sciences 1980;22:367.
26. Parmar A, Mellor PB. Plastic expansion of a circular hole in sheet metal subjected to biaxial tensile stress. International Journal of Mechanical Sciences 1978;20:707.
27. Itahi MF, Parmar A, Mellor PB. Hydrostatic bulging of a circular aluminium diaphragm. International Journal of Mechanical Sciences 1981;(23):221.
28. Lee CH, Kobayashi S. New solutions to rigid-plastic deformation problems using a matrix method. Journal of Engineering for Industrial Transactions ASME95, 1973;865
29. Kihara J, Yoshida M. Improvement of finite element method for rigid-plastic material and its application to analysis of deformation of flange part in deep drawing. Journal of Japan Society for Technology of Plastics (in Japanese) 1977;18:598.
30. Budiannsky B. A reassessment of deformation theories of plasticity. Journal of Applied Mechanics Transactions ASME, 259 (1959).
31. Storen S, Rice JR. Localized necking in the sheet. Journal of Mechanical Physics and Structure 1975;23:421.
32. Hutchinson JW. Plasticity buckling. Advances of Applied Mechanics 1974;14:67.
33. Christofferson J, Hutchinson JW. A class of Phenomenological corner theories of plasticity. Journal of Mechanics and Physics of Solids 1979;27:465.
34. Gotoh M. A class of plastic constitutive equations with vertex effect - I General theory. International Journal of Solids Structure 1985;21(11):101.
35. Neale KW. Phenomenological constitutive laws in finite plasticity. SM Archives 1981;6(1):79.
36. Batoz JL, Bathe KJ, Ho LW. A study of three-node triangular plate bending elements. International Journal for Numerical Methods in Engineering 1980;15:1771.