Summary
A criterion for ductile fracture is introduced in the finite element simulation of sheet metal forming. From the calculated histories of stress and strain in each element, the fracture initiation site and the critical stroke are predicted by means of the ductile fracture criterion. The calculations are carried out for axisymmetric stretch forming of various aluminium alloy sheets and their laminates clad by mild steel sheets. The predictions so obtained are compared with experimental observations. The results show that the combination of the finite element simulation and the ductile fracture criterion enables the prediction of forming limit in a wide range of sheet metals.
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References
Swift, H. W.: Plastic instability under plane stress. J. Mech. Phys. Solids 1 (1952) 1–18
Marciniak, Z.; Kuczynski, K.: Limit strains in the processes of stretch-forming sheet metal. Int. J. Mech. Sci. 9 (1967) 609–620
Stören, S.; Rice, J. R.: Localized necking in thin sheets. J. Mech. Phys. Solids 23 (1975) 421–441
Clift, S. E.; Hartley, P.; Sturgess, C. E. N.; Rowe, G. W.: Fracture prediction in plastic deformation processes. Int. J. Mech. Sci. 32 (1990) 1–17
Oyane, M.; Sato, T.; Okimoto, K.; Shima, S.: Criteria for ductile fracture and their applications. J. Mech. Work. Technol. 4 (1980) 65–81
Ayada, M; Higashino, T.; Mori, K.: Central bursting in extrusion of inhomogeneous materials. In: Lange, K. (ed.) Advanced Technology of Plasticity, pp. 553–558. Berlin: Springer 1987
Toda, M.; Miki, T.; Yanagimoto, S.; Osakada, K.: Study of computer aided system for analyzing mechanical behavior of steel bar and wire under cold forging. J. Japan Soc. Tech. Plasticity 29 (1988) 971–976
Hill, R.: Mathematical theory of plasticity, pp. 318–321. Oxford: Oxford University Press 1950
Osakada, K.; Nakano, J.; Mori, K.: Finite element method for rigid-plastic analysis of metal forming — Formulation for finite deformation. Int. J. Mech. Sci. 24 (1982) 459–468
Hiraiwa, M.; Kondo, K.: Investigation into deep drawing of clad sheet metals. Bull. JSME 20 (1977) 483–488
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The authors would like to thank the staff at the steel research laboratories of Nippon Steel Corporation for providing the laminated composite sheets.
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Takuda, H., Mori, K., Fujimoto, H. et al. Fracture prediction in stretch forming using finite element simulation combined with ductile fracture criterion. Arch. Appl. Mech. 67, 143–150 (1997). https://doi.org/10.1007/s004190050106
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DOI: https://doi.org/10.1007/s004190050106