Spherical dies are increasing in popularity in the cold-forming industry because of the ease in subsequent secondary operations. This paper presents criteria curves, calculated using the finite element method, to avoid central bursting or internal chevrons in forward extrusions through spherical dies. Critical values of mean stress at the centerline of the extrusion are used as failure criteria to distinguish between acceptable and unacceptable die designs. These failure criteria are conservative in that the critical step for central bursting is considered to be the formation of a microvoid during extrusion, rather than linking of the voids during continued deformation. The resulting process criteria curves are conservative estimates of internal chevron formation during extrusion through spherical dies.

1.
Avitzur
,
B.
,
1968
, “
Analysis of Central Bursting in Extrusion and Wire Drawing
,”
ASME J. Eng. Ind.
,
90
, pp.
79
91
.
2.
Filar, R. J., 1997, Private Communication, DaimlerChrysler Corporation, Auburn Hills, MI.
3.
Hosford, W. F., and Caddell, R. M., 1993, Metal Forming, Mechanics and Metallurgy, 2nd edition, Prentice-Hall Inc, Englewood Cliffs, N. J, Chapter 10.
4.
DEFORM™-2D, 1998, Version 6.0, Scientific Forming Technologies Corp., Columbus, OH 43220.
5.
McClintock
,
F. A.
,
1968
, “
A Criterion for Ductile Fracture by the Growth of Holes
,”
ASME J. Appl. Mech.
,
35
, pp.
363
371
.
6.
Rice
,
J. R.
, and
Tracey
,
D. M.
,
1969
, “
On the Ductile Enlargement of Voids in Triaxial Stress Fields
,”
J. Mech. Phys. Solids
,
17
, pp.
201
217
.
7.
Oyane
,
M.
,
1972
, “
Criteria of Ductile Fracture Strain
,”
Bull. JSME
,
15
, pp.
1507
1513
.
8.
Gurson
,
A. L.
,
1977
, “
Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I-Yield Criteria and Flow Rules for Porous Ductile Media
,”
ASME J. Eng. Mater. Technol.
,
99
, pp.
2
15
.
9.
Dawson
,
P.
,
Lee
,
Y. S.
, and
Kumar
,
A.
,
1992
, “
Void Growth in Drawing and Extrusion of Ductile Metals
,”
J. Mater. Process. Technol.
,
32
, pp.
119
134
.
10.
Cockroft
,
M. G.
, and
Latham
,
D. J.
,
1968
, “
Ductility and Workability of Metals
,”
J. Inst. Met.
,
96
, pp.
33
39
.
11.
Reddy
,
N. V.
,
Dixit
,
P. M.
, and
Lal
,
G. K.
,
1996
, “
Central Bursting and Optimal Die Profile for Axisymmetric Extrusion
,”
ASME J. Manuf. Sci. Eng.
,
118
, pp.
579
584
.
12.
Oh
,
S. I.
,
Chen
,
C. C.
, and
Kobayashi
,
S.
,
1979
, “
Ductile Fracture in Axisymmetric Extrusion and Drawing, Part 2: Workability in Extrusion and Drawing
,”
ASME J. Eng. Ind.
,
101
, pp.
36
44
.
13.
Avitzur, B., 1983, Handbook of Metal Forming Processes, John Wiley, New York, NY, Chapter 3.
14.
Zimerman
,
Z.
, and
Avitzur
,
B.
,
1970
, “
Metal Flow Through Conical Converging Dies—A Lower Upper Bound Approach Using Generalized Boundaries of the Plastic Zone
,”
ASME J. Eng. Ind.
,
92
, pp.
119
129
.
You do not currently have access to this content.