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

K. Komvopoulos; N. Ye

doi:10.1115/1.1467088

Journal of Tribology | Volume 124 | Issue 4 | TECHNICAL PAPERS

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TECHNICAL PAPERS

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

K. Komvopoulos, Professor, Fellow ASME and N. Ye, Graduate Student

[+] 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

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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

(a) Surface profile equivalent to the head-disk interface truncated by a rigid plane to a maximum global interference δ_g 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 σ_Y1/σ_Y2=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 σ_Y1/σ_Y2=2.12

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Variation of (a) maximum von Mises equivalent stress, σ̄_M^max, (b) maximum equivalent plastic strain, ε̄_p^max, and (c) maximum first principal stress, σ₁^max, with maximum local surface interference δ in the overcoat medium for t=2, 5, and 10 nm, E₁/E₂=0.88, and σ_Y1/σ_Y2=2.12. (Stress results have been normalized by the yield strength of the overcoat, σ_Y1.)

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Variation of (a) maximum von Mises equivalent stress, σ̄_M^max, (b) maximum equivalent plastic strain, ε̄_p^max, and (c) maximum first principal stress, σ₁^max, with maximum local surface interference δ in the magnetic layer medium for t=2, 5, and 10 nm, E₁/E₂=0.88, and σ_Y1/σ_Y2=2.12. (Stress results have been normalized by the yield strength of the magnetic layer, σ_Y2.)

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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 σ_Y1/σ_Y2=4.87

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Variation of (a) maximum von Mises equivalent stress, σ̄_M^max, (b) maximum equivalent plastic strain, ε̄_p^max, and (c) maximum first principal stress, σ₁^max, with maximum local surface interference δ in the magnetic layer medium for t=10 nm,E₁/E₂=0.88,σ_Y1/σ_Y2=2.12, and σ_R=0, −1, −2, and −4 GPa. (Stress results have been normalized by the yield strength of the magnetic layer, σ_Y2.)

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Variation of (a) maximum von Mises equivalent stress, σ̄_M^max, (b) maximum equivalent plastic strain, ε̄_p^max, and (c) maximum first principal stress, σ₁^max, with maximum local surface interference δ in the overcoat medium for t=10 nm,E₁/E₂=0.88,σ_Y1/σ_Y2=2.12, and σ_R=0, −1, −2, and −4 GPa. (Stress results have been normalized by the yield strength of the overcoat, σ_Y1.)

View Large | Save Figure | Download Slide (.ppt)

Contours of von Mises equivalent stress for δ=2 nm, t=10 nm,E₁/E₂=0.88,σ_Y1/σ_Y2=2.12, and σ_R=−2 GPa

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Variation of (a) maximum von Mises equivalent stress, σ̄_M^max, (b) maximum equivalent plastic strain, ε̄_p^max, and (c) maximum first principal stress, σ₁^max, with maximum local surface interference δ in the overcoat and magnetic layer media for t=5 nm, β=2.1 (E₁/E₂=0.88,σ_Y1/σ_Y2=2.1), and β=4.9 (E₁/E₂=1.29,σ_Y1/σ_Y2=4.87). (Stress results have been normalized by the yield strength of each material, σ_Y.)

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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 σ_Y1/σ_Y2=2.12

View Large | Save Figure | Download Slide (.ppt)

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 σ_Y1/σ_Y2=2.12

View Large | Save Figure | Download Slide (.ppt)

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 σ_Y1/σ_Y2=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 σ_Y1/σ_Y2=2.12

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Komvopoulos KK, Ye NN. Elastic-Plastic Finite Element Analysis for the Head-Disk Interface With Fractal Topography Description. ASME. J. Tribol. 2002;124(4):775-784. doi:10.1115/1.1467088.

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

References

Figures

Finite element mesh of a layered medium with a 10 nm thick overcoat

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=4.87

Contours of von Mises equivalent stress for δ=2 nm, t=10 nm,E₁/E₂=0.88,σ_Y1/σ_Y2=2.12, and σ_R=−2 GPa

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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

References

Figures

Finite element mesh of a layered medium with a 10 nm thick overcoat

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 σY1/σY2=2.12

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 σY1/σY2=2.12

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 σY1/σY2=4.87

Contours of von Mises equivalent stress for δ=2 nm, t=10 nm,E1/E2=0.88,σY1/σY2=2.12, and σR=−2 GPa

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 σY1/σY2=2.12

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 σY1/σY2=2.12

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 σY1/σY2=2.12

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 σY1/σY2=2.12

Tables

Errata

Discussions

Related Content

Journals

Conference Proceedings

eBooks

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=4.87

Contours of von Mises equivalent stress for δ=2 nm, t=10 nm,E₁/E₂=0.88,σ_Y1/σ_Y2=2.12, and σ_R=−2 GPa

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12

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 σ_Y1/σ_Y2=2.12