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TECHNICAL PAPERS

Some Plastic Deformation Modes for Indentation of Half Space by a Rigid Body With Serrated Surface as a Model of Roughness Transfer in Metal Forming

[+] Author and Article Information
Jingyu Shi, D. L. S. McElwain

Centre in Statistical Science and Industrial Mathematics, Queensland University of Technology, GPO Box 2434, Brisbane, QLD 4001 Australia

S. A. Domanti

Industrial Automation Services PTY. LTD, P.O. Box 3100, Teralba, NSW 2284 Australia

J. Eng. Mater. Technol 124(2), 146-151 (Mar 26, 2002) (6 pages) doi:10.1115/1.1446864 History: Received May 03, 2001; Revised October 25, 2001; Online March 26, 2002
Copyright © 2002 by ASME
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References

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.
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.
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.
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.
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.
Loffler, L., 1988, Untersuchungen zum Aufrauhen von Bandstahl, Stahl Eisen.
Petryk,  H., 1980, “Non-unique slip-line field solutions for the wedge indentation problem,” Journal de Mecanique aplliquee, 4, pp. 255–282.
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.
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.
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.
Ewing,  D. J. F., 1967, “A series-method for constructing plastic slipline fields,” J. Mech. Phys. Solids, 15, pp. 105–114.
Johnson, W., Sowerby, R., and Venter, R. D., 1982, Plane Strain Slip Line Fields for Metal Deformation Processes, Pergamon Press, Oxford.

Figures

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The setup for ABAQUS analysis of indentation of a big block by a pair of rigid teeth
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The vertical displacements of the top surface around the tooth at various time: The curve with the lowest value at x=0 is for t=0.8s and with the highest value is for t=1.5s. The values increase as t increases.
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Local slip line field (a) and hodograph (b) around each tooth for early stage of indentation of a half space by a rigid body with serrated surface
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The variation of the inclining angle ξ with the semi-angle θ for two cases: Hill’s et al.’s is solution (η=0) and Petryk’s solution with η=ξ/2
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The variation of the critical depths of indentation with the semi-angle θ
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The proposed slip line field (a) and hodograph (b) between two neighboring teeth at early stage of interaction
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The slip line field (a) and hodograph (b) between two neighboring teeth at the second critical stage when the free surface becomes entirely horizontal
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The slip line field (a) and hodograph (b) between two neighboring teeth during the indentation process between the second and third critical stages
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The slip line field (a) and hodograph (b) between two neighboring teeth at the third critical stage when the free surface might not be straight

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