Engineering Transactions, 24, 1, pp. 171-183, 1976

Slip-Line Solutions of Some Axi-Symmetric Problems of Plastic Compression of Cylinders and Rings

M. Grzymkowski
Institute of Fundamental Technological Research

Z. Mróz
Technical University of Warsaw

Two axi-symmetric problems are treated for a perfectly plastic model: indentation of cylindrical punches into a circular plate and compression of rings between rigid plates. Static and kinematic fields are determined by integrating numerically characteristic equations for stress and velocity. Bounds on limit indentation and compression pressures are computed and compared with experimentally determined pressures.

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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


R. T. SHIELD, On the plastic flow of metals under conditions of axial symmetry, Proc. Roy. Soc., ser. A, vol. 233, 267-287, 1955.

Z. MRÓZ, Graphical solution of axially symmetric problems of plastic flow, ZAMP, 18, 219-236, 1967.

K. KWASZCZYŃSKA, Z. MRÓZ, A theoretical analysis of plastic compression of short circular cylinders, Arch. Mech. Stos., 19, 787-797, 1967.

Z. MRÓZ, K. KWASZCZYŃSKA, Axially symmetric plastic flow of soils treated by the graphical method, Arch. Inż. Lądowej, 14, 1969.

K. KWASZCZYŃSKA, Z. MRÓZ, A. DRESCHER, Analysis of compression of short cylinders of Coulomb material, Int. J. Mech. Sci., 11, 145-158, 1969.

W. SCHRÖEDER, D. A. WEESTER, Press forging of thin sections: effect of friction area, and thickness on pressure required, J. Appl. Mech., 16, 289-294, 1949.

B. AVITZUR, Forging of hollow discs, Israel J. Technology, 2, 1964.