Abstract
Various factors affecting the prediction of limit strains in biaxially-stretched sheets are studied. Time-independent material behavior is assumed, and both the flow theory of plasticity as well as a finite-strain version of deformation theory are considered. A localization-band bifurcation analysis is first carried out. The influence of geometric imperfections is then analyzed using the long-wavelength approximation treated in Part I. We also discuss the predicted forming limit curves and comment on their relation to published experimental data. The main emphasis in this Part, however, is on comparisons between the corresponding predictions of flow theory and deformation theory.
The material in this three-part paper was presented orally in Session II under the title “Constitutive Relations for Sheet Metal” and Session IV under the title “Sheet Necking: Influence of Constitutive Theory and Strain-Rate Dependence”.
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References
R. Hill, J. Mech. Phys. Solids, 1 (1952), 19.
Z. Marciniak and K. Kuczynski, Int. J. Mech. Sci., 9 (1967), 609.
R. Sowerby and J. L. Duncan, Int. J. Mech. Sci., 13 (1971), 217.
M. Azrin and W. A. Backofen, Metall. Trans., 1 (1970), 2857.
S. Storen and J. R. Rice, J. Mech. Phys. Solids, 23 (1975), 421.
J. W. Hutchinson, Adv. Appl. Mech., 14 (1974), 67.
R. Hill, J. Mech. Phys. Solids, 6 (1958), 236.
J. W. Hutchinson, Numerical Solution of Nonlinear Structural Problems (ed. R. F. Hartung) ASME (1973), 17.
R. M. McMeeking and J. R. Rice, Int. J. Solids Struct., 11 (1975), 601.
R. Hill, Proc. R. Soc. Lond. A, 314 (1970), 457. 149
R. Hill, J. Mech. Phys. Solids, 16 (1968), 229, 315.
R. W. Ogden, Proc. R. Soc. Lond. A, 326 (1972), 565.
R. Hill and J. W. Hutchinson, J. Mech. Phys. Solids, 23 (1975), 239.
Z. Marciniak, K. Kuczynski and T. Pokora, Int. J. Mech. Sci., 15 (1973), 789.
A. K. Ghosh, Metall. Trans., 5 (1974), 1607.
J. W. Hutchinson and K. W. Neale, Acta Met., 25 (1977), 839.
J. W. Hutchinson and W. T. Koiter, Appl. Mech. Rev., 23 (1970), 1353.
A. K. Ghosh and S. S. Hecker, Metall. Trans., 5 (1974), 2161.
S. S. Hecker, Sheet Metal Ind., (1975), 671.
S. S. Hecker, J. Eng. Mater. Technol. (Trans. ASME, H), 97 (1975), 66.
M. J. Painter and R. Pearce, J. Phys. D: Appl. Phys., 7 (1974), 992.
R. Venter, W. Johnson and M. C. de Malherbe, Int. J. Mech. Sci., 13 (1971), 299.
A. Needleman, J. Mech. Phys. Solids, 24 (1976), 339.
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© 1978 Plenum Press, New York
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Hutchinson, J.W., Neale, K.W. (1978). Sheet Necking-II. Time-Independent Behavior. In: Koistinen, D.P., Wang, NM. (eds) Mechanics of Sheet Metal Forming. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2880-3_6
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DOI: https://doi.org/10.1007/978-1-4613-2880-3_6
Publisher Name: Springer, Boston, MA
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