An analysis is presented of the axial compression of non-circular prismatic sections, based on the existence of velocity discontinuity lines. Equilibrium equations are written along the ‘flow lines’, and theoretical pressure distribution curves are calculated in different directions and compared with experimental measurements. The theoretical pressure hills and lateral deformations are in good agreement with the experimental observations.
Get full access to this article
View all access options for this article.
References
1.
VanrooyenG. T.BackofenN. I.‘A study of interface friction in plastic compression’, Int. J. mech. Sci.19601, 1.
2.
UnksovE. P.An engineering theory of plasticity1961 (Butterworths, London).
3.
HawkyardJ. B.JohnsonW.‘An analysis of changes in geometry of a short cylinder during axial compression’, Int. J. mech. Sci.19679, 163–182.
4.
JohnsonW.SlaterR. A. C.YuA. S.‘The quasistatic compression of noncircular prismatic blocks between very rough platens using the ‘friction-hill’ concept’, Int. J. mech. Sci.19668, 731–738.
5.
PerssonB.StrandellP. O.‘Compression of rectangular specimens: Part I. rectangular tools’, C.I.R.P. January 1966.
6.
DaneshiG. H.HawkyardJ. B.‘A splitplaten pressure cell for the measurement of pressure distribution in upsetting operations’, Int. J. mech. Sci.197113, 355–371.