This paper is concerned with the plastic deformation modes of the free surface of the half space between the teeth on the serrated surface of a rigid body. The rigid body indents the half space perpendicularly and the material of the half space is assumed to be elastic/rigid perfectly plastic. Plane-strain conditions are assumed. The emphasis in this paper is on the profile left on the surfaces of the material when the indentation proceeds to some depth and then the indenter is removed. Based on the observations from finite element results, slip line fields for the plastic deformation regions at various stages of indentation are proposed and the corresponding hodographs for the velocity field are presented. This has application in roughness transfer of final metal forming process.

1.
Ike
,
H.
,
1996
, “
Properties of metal sheets with 3-D designed surface microgeometry prepared by special rolls
,”
J. Mater. Process. Technol.
,
60
, pp.
363
368
.
2.
Busch, M. L., Biausser, H., Baird, G., Le Bon, A., and Grumbach, M., 1987, “Metallurgical and mechanical aspects of temper rolling process,” Proceedings 4th Int. Steel Rolling Conference, Deauvill France June 1987 E48.1–E48.7.
3.
Bunten
,
R.
,
Steinhoff
,
K.
,
Rasp
,
W.
,
Kopp
,
R.
, and
Pawelski
,
O.
,
1996
, “
Development of a FEM-model for the simulation of the transfer of surface structure in cold-rolling processes
,”
J. Mater. Process. Technol.
,
60
, pp.
369
376
.
4.
Bay
,
N.
, and
Wanheim
,
T.
,
1976
, “
Real area of contact between a rough tool and a smooth workpiece at high normal pressures
,”
Wear
,
38
, pp.
225
234
.
5.
Pawelski, O., Rasp, W., and Loffler, L., 1987, “A plastomechanical model of the transfer of surface roughness from tool to workpiece,” Advanced Technology of Plasticity, Proc. 2nd International Conference on Technology of Plasticity, K. Lange ed., Springer-Verlag, Berlin.
6.
Loffler, L., 1988, Untersuchungen zum Aufrauhen von Bandstahl, Stahl Eisen.
7.
Petryk
,
H.
,
1980
, “
Non-unique slip-line field solutions for the wedge indentation problem
,”
Journal de Mecanique aplliquee
,
4
, pp.
255
282
.
8.
Hill
,
R.
,
Lee
,
E. H.
, and
Tupper
,
S. J.
,
1947
, “
The theory of wedge indentation of ductile materials
,”
Proc. R. Soc. London, Ser. A
,
188
, pp.
273
290
.
9.
Hill
,
R.
,
1954
, “
On the limits set by plastic yielding to the intensity of singularities of stress
,”
J. Mech. Phys. Solids
,
2
, pp.
278
285
.
10.
Dewhurst
,
P.
, and
Collins
,
I. F.
,
1973
, “
A matrix technique for constructing slip-line field solutions to a class of plane strain plasticity problems
,”
Int. J. Numer. Methods Eng.
,
7
, pp.
357
378
.
11.
Ewing
,
D. J. F.
,
1967
, “
A series-method for constructing plastic slipline fields
,”
J. Mech. Phys. Solids
,
15
, pp.
105
114
.
12.
Johnson, W., Sowerby, R., and Venter, R. D., 1982, Plane Strain Slip Line Fields for Metal Deformation Processes, Pergamon Press, Oxford.
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