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TECHNICAL PAPERS

Elastic-Plastic Finite Element Analysis for the Head-Disk Interface With Fractal Topography Description

[+] Author and Article Information
K. Komvopoulos, N. Ye

Department of Mechanical Engineering, University of California, Berkeley, CA 94720

J. Tribol 124(4), 775-784 (Sep 24, 2002) (10 pages) doi:10.1115/1.1467088 History: Received July 05, 2001; Revised October 30, 2001; Online September 24, 2002
Copyright © 2002 by ASME
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References

Hertz, H., 1882, “Über die Berührung fester elastischer Körper,” (“On the Contact of Elastic Solids”), J. reine und angewandte Mathematik, 92 , pp. 156–171. (English translation in Miscellaneous Papers by H. Hertz, Eds., Jones and Schott, MacMillan, London, UK, 1986).
Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, UK.
Meijers,  P., 1968, “The Contact Problem of a Rigid Cylinder on an Elastic Layer,” Appl. Sci. Res., 18, pp. 353–383.
Alblas,  J. B., and Kuipers,  M., 1970, “On the Two Dimensional Problem of a Cylindrical Stamp Pressed into a Thin Elastic Layer,” Acta Mech., 9, pp. 292–311.
Hardy,  C., Baronet,  C. N., and Tordion,  G. V., 1971, “The Elastoplastic Indentation of a Half-Space by a Rigid Sphere,” Int. J. Numer. Methods Eng., 3, pp. 451–462.
Ling, F. F., and Lai, W. M., 1980, “Surface Mechanics of Layered Media,” Solid Contact and Lubrication, H. S. Cheng, and L. M. Keer, eds., AMD-39 , pp. 27–50.
Greenwood,  J. A., and Williamson,  J. B. P., 1966, “Contact of Nominally Flat Surfaces,” Proc. R. Soc. London, Ser. A, 295, pp. 300–319.
Majumdar,  A., and Tien,  C. L., 1990, “Fractal Characterization and Simulation of Rough Surfaces,” Wear, 136, pp. 313–327.
Majumdar,  A., and Bhushan,  B., 1991, “Fractal Model of Elastic-Plastic Contact Between Rough Surfaces,” ASME J. Tribol., 113, pp. 1–11.
Wang,  S., and Komvopoulos,  K., 1994, “A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime: Part I—Elastic Contact and Heat Transfer Analysis,” ASME J. Tribol., 116, pp. 812–823.
Wang,  S., and Komvopoulos,  K., 1994, “A Fractal Theory of the Interfacial Temperature Distribution in the Slow Sliding Regime: Part II—Multiple Domains, Elastoplastic Contacts and Applications,” ASME J. Tribol., 116, pp. 824–832.
Wang,  S., and Komvopoulos,  K., 1995, “A Fractal Theory of the Temperature Distribution at Elastic Contacts of Fast Sliding Surfaces,” ASME J. Tribol., 117, pp. 203–215.
Yan,  W., and Komvopoulos,  K., 1998, “Contact Analysis of Elastic-Plastic Fractal Surfaces,” J. Appl. Phys., 84, pp. 3617–3624.
Komvopoulos,  K., and Ye,  N., 2001, “Three-Dimensional Contact Analysis of Elastic-Plastic Layered Media With Fractal Surface Topographies,” ASME J. Tribol., 123, pp. 632–640.
Mandelbrot, B. B., 1983, The Fractal Geometry of Nature, Freeman, New York, NY.
Komvopoulos,  K., 2000, “Head-Disk Interface Contact Mechanics for Ultrahigh Density Magnetic Recording,” Wear, 238, pp. 1–11.
Komvopoulos,  K., 1989, “Elastic-Plastic Finite Element Analysis of Indented Layered Media,” ASME J. Tribol., 111, pp. 430–439.
Kral,  E. R., Komvopoulos,  K., and Bogy,  D. B., 1995, “Finite Element Analysis of Repeated Indentation of an Elastic-Plastic Layered Medium by a Rigid Sphere, Part II: Subsurface Results,” ASME J. Appl. Mech., 62, pp. 29–42.

Figures

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(a) Surface profile equivalent to the head-disk interface truncated by a rigid plane to a maximum global interference δg revealing contact at different regions and (b) profile region between x=3340 nm and x=3540 nm truncated by a rigid plane to a maximum local interference δ used in the finite element simulations
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Finite element mesh of a layered medium with a 10 nm thick overcoat
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Evolution of contact pressure distributions at different regions of the surface profile shown in Fig. 1(a) with increasing surface interference for t=2 nm,E1/E2=0.88, and σY1Y2=2.12
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Contours of (a), (c) von Mises equivalent stress and (b), (d) equivalent plastic strain for δ=0.5 nm, t=2 nm,E1/E2=0.88, and σY1Y2=2.12
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Contours of (a), (c) von Mises equivalent stress and (b), (d) equivalent plastic strain for δ=1 nm, t=2 nm,E1/E2=0.88, and σY1Y2=2.12
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Contours of (a), (c) von Mises equivalent stress and (b), (d) equivalent plastic strain for δ=2 nm, t=2 nm,E1/E2=0.88, and σY1Y2=2.12
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Contours of (a), (c) von Mises equivalent stress and (b), (d) equivalent plastic strain for δ=2 nm, t=5 nm,E1/E2=0.88, and σY1Y2=2.12
Grahic Jump Location
Contours of (a), (c) von Mises equivalent stress and (b), (d) equivalent plastic strain for δ=2 nm, t=10 nm,E1/E2=0.88, and σY1Y2=2.12
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Variation of (a) maximum von Mises equivalent stress, σ̄Mmax, (b) maximum equivalent plastic strain, ε̄pmax, and (c) maximum first principal stress, σ1max, with maximum local surface interference δ in the overcoat medium for t=2, 5, and 10 nm, E1/E2=0.88, and σY1Y2=2.12. (Stress results have been normalized by the yield strength of the overcoat, σY1.)
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Variation of (a) maximum von Mises equivalent stress, σ̄Mmax, (b) maximum equivalent plastic strain, ε̄pmax, and (c) maximum first principal stress, σ1max, with maximum local surface interference δ in the magnetic layer medium for t=2, 5, and 10 nm, E1/E2=0.88, and σY1Y2=2.12. (Stress results have been normalized by the yield strength of the magnetic layer, σY2.)
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Contours of (a), (c) von Mises equivalent stress and (b), (d) equivalent plastic strain for δ=2 nm, t=5 nm,E1/E2=1.29, and σY1Y2=4.87
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Variation of (a) maximum von Mises equivalent stress, σ̄Mmax, (b) maximum equivalent plastic strain, ε̄pmax, and (c) maximum first principal stress, σ1max, with maximum local surface interference δ in the overcoat and magnetic layer media for t=5 nm, β=2.1 (E1/E2=0.88,σY1Y2=2.1), and β=4.9 (E1/E2=1.29,σY1Y2=4.87). (Stress results have been normalized by the yield strength of each material, σY.)
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Contours of von Mises equivalent stress for δ=2 nm, t=10 nm,E1/E2=0.88,σY1Y2=2.12, and σR=−2 GPa
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Variation of (a) maximum von Mises equivalent stress, σ̄Mmax, (b) maximum equivalent plastic strain, ε̄pmax, and (c) maximum first principal stress, σ1max, with maximum local surface interference δ in the overcoat medium for t=10 nm,E1/E2=0.88,σY1Y2=2.12, and σR=0, −1, −2, and −4 GPa. (Stress results have been normalized by the yield strength of the overcoat, σY1.)
Grahic Jump Location
Variation of (a) maximum von Mises equivalent stress, σ̄Mmax, (b) maximum equivalent plastic strain, ε̄pmax, and (c) maximum first principal stress, σ1max, with maximum local surface interference δ in the magnetic layer medium for t=10 nm,E1/E2=0.88,σY1Y2=2.12, and σR=0, −1, −2, and −4 GPa. (Stress results have been normalized by the yield strength of the magnetic layer, σY2.)

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