A rigid-plastic body at the yield point is stressed by external forces due to normal pressure and Coulomb friction. By considering the process of tube ironing, it is shown that upper-bound values for the loads may be determined using the polygon of forces. This method is extended to sheet drawing, sheet extrusion, and the compression of a wide thin lamina, taking account of Coulomb friction on external boundaries.
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References
1.
HillR.1951Phil. Mag., vol. 42, p. 868, ‘The State of Stress in a Plastic-rigid Body at the Yield Point’.
2.
GreenA. P.1952 B.I.S.R.A., Report No. MW/B/7/52, ‘Calculations on Sheet Drawing’.
3.
JohnsonW.1959Proc. Instn mech. Engrs, Lond., vol. 173, p. 61, ‘Estimation of Upper-bound Loads for Extrusion and Coining Operations’.
4.
BishopJ. F. W.1958J. Mech. Phys. Solids, vol. 6, p. 132, ‘On the Effect of Friction on Compression and Indentation between Flat Dies’.
5.
HillR.1950‘The Mathematical Theory of Plasticity’, p. 236 (Clarendon Press, Oxford).