Abstract
Considerable interest exists in understanding the levels of maximum useful strains achievable prior to localized necking (forming limits) and their dependence on the imposed stress-state. Marciniak’s model of imperfection growth has successfully explained the rise in forming limit as the imposed strain-ratio (ε2/ε1) is increased from zero (plane strain) toward unity (balanced biaxial tension). Experimental studies on formability of various materials have, however, revealed basic differences in behavior, such as the “brass-type” and the “steel type”, exhibiting respectively, zero and positive dependencies of forming limit upon the strain-ratio. Such results cannot be reconciled without proper attention to the details of strain hardening and strain-rate hardening behaviors of these materials, particularly as functions of strain and strain-ratio. A review of these properties for several materials will be presented in an attempt to show their importance on the necking behavior. Furthermore, the dependence of the patterns of behavior upon the mode of stretching (in-plane and punch stretching) is discussed. Some results of a Marci niak-type model of material imperfection are also considered.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
Z. Marciniak and K. Kuczyński, Int. J. Mech. Sci., 9 (1967), 609.
S. P. Keeler and W. A. Backofen, Trans. ASM, 56 (1963), 25.
M. Azrin and W. A. Backofen, Metall. Trans., 1 (1970), 2857.
A. K. Ghosh and W. A. Backofen, Metall. Trans., 4 (1973), 1113.
S. S. Hecker, J. Eng. Mater. Technol. (Trans. ASME, H), 97 (1975), 66.
R. Hill, J. Mech. Phys. Solids, 1 (1952), 19.
H. van Minh, R. Sowerby and J. L. Duncan, Int. J. Mech. Sci., 17 (1975), 339.
Y. Yamaguchi and P. B. Mellor, Int. J. Mech. Sci., 18 (1976), 85.
S. Stören and J. R. Rice, J. Mech. Phys. Solids, 23 (1975), 421.
R. Hill, J. Mech. Phys. Solids, 6 (1958), 236.
A. K. Ghosh and S. S. Hecker, Metall. Trans., 6A (1975), 1065.
A. K. Ghosh and S. S. Hecker, Metall. Trans., 5 (1974), 2161.
M. J. Painter and R. Pearce, J. Phys. D: Appl. Phys., 7 (1974), 992.
A. K. Ghosh, Met. Trans., 8A (1977), 1221.
Z. Marciniak, K. Kuczyński and T. Pokora, Int. J. Mech. Sci., 15 (1973), 789.
A. K. Ghosh, Metall. Trans., 7A (1976), 523.
S. S. Hecker, Met. Eng. Q., 14 (1974), 30.
L. E. Malvern, J. Appl. Mech. (Trans. ASME) 18 (1951), 203.
R. Pearce, Int. J. Mech. Sci., 13 (1971), 299.
K. Yoshida, K. Yoshii, H. Komorida, M. Usuda and H. Watanabe, Scientific Papers, Inst, of Physical and Chemical Research, Tokyo, 64 (1970), 24.
H. J. Kleemola and A. J. Ranta-Escola, Metall. Trans., 7A, (1976), 595.
D. J. Lloyd, B. D. McLaughlin and H. Sang, Scr. Metall., 11 (1977), 297.
J. L. Duncan and W. Johnson, Sheet Met. Ind., 42 (1965), 271.
A. Needleman and N. Triantafyllidis, Brown University Report NSF-ENG76-16421/1, June 1977 (to be published in J. Eng. Mater. Technol.).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1978 Plenum Press, New York
About this chapter
Cite this chapter
Ghosh, A.K. (1978). Plastic Flow Properties in Relation to Localized Necking in Sheets. 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_12
Download citation
DOI: https://doi.org/10.1007/978-1-4613-2880-3_12
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-2882-7
Online ISBN: 978-1-4613-2880-3
eBook Packages: Springer Book Archive