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TECHNICAL PAPERS

Sliding Contact Analysis of Layered Elastic/Plastic Solids With Rough Surfaces

[+] Author and Article Information
Wei Peng, Bharat Bhushan

Department of Mechanical Engineering, Computer Microtribology and Contamination Laboratory, The Ohio State University, Columbus, OH 43210-1107

J. Tribol 124(1), 46-61 (May 22, 2001) (16 pages) doi:10.1115/1.1401018 History: Received February 28, 2001; Revised May 22, 2001
Copyright © 2002 by ASME
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References

Bhushan, B., 1996, Tribology and Mechanics of Magnetic Storage Devices, 2nd ed., Springer-Verlag, New York.
Bhushan,  B., 1998, “Contact Mechanics of Rough Surfaces in Tribology: Multiple Asperity Contact,” Tribol. Lett., 4, pp. 1–35.
Bhushan, B., 1999, Principles and Applications of Tribology, Wiley, New York.
Mao,  K., Bell,  T., and Sun,  Y., 1997, “Effect of Sliding Friction on Contact Stresses for Multi-Layered Elastic Bodies With Rough Surfaces,” ASME J. Tribol., 119, pp. 476–480.
Nogi,  T., and Kato,  T., 1997, “Influence of a Hard Surface Layer on the Limit of Elastic Contact: Part I—Analysis Using a Real Surface Model,” ASME J. Tribol., 119, pp. 493–500.
Peng,  W., and Bhushan,  B., 2001, “A Numerical Three-Dimensional Model for the Contact of Layered Elastic/Plastic Solids with Rough Surfaces by Variational Principle,” ASME J. Tribol., 123, pp. 330–342.
Peng,  W., and Bhushan,  B., “Three-Dimensional Contact Analysis of Layered Elastic/Plastic Solids With Rough Surfaces,” Wear, 249, pp. 741–760.
O’Sullivan,  T. C., and King,  R. B., 1988, “Sliding Contact Stress Field due to a Spherical Indenter on a Layered Elastic Half-Space,” ASME J. Tribol., 110, pp. 235–240.
Tian,  X., and Bhushan,  B., 1996, “A Numerical Three-Dimensional Model for the Contact of Rough Surfaces by Variational Principle,” ASME J. Tribol., 118, pp. 33–41.
Richards, T. H., 1997, Energy Methods in Stress Analysis: With An Introduction to Finite Element Techniques, Halsted Press, New York.
Press, W. H., Teukolsky, S. A., Vetterling, W. T., and Flannery, B. P., 1999, Numerical Recipes in FORTRAN, the Art of Scientific Computing, 2nd ed., Cambridge University Press, Cambridge, UK.
Tian,  X., and Bhushan,  B., 1996, “The Micro-Meniscus Effect of a Thin Liquid Film on the Static Friction of Rough Surface Contact,” J. Phys. D, 29, pp. 163–178.
Yu,  M., and Bhushan,  B., 1996, “Contact Analysis of Three-Dimensional Rough Surfaces under Frictionless and Frictional Contact,” Wear, 200, pp. 265–280.
Peng,  W., and Bhushan,  B., 2000, “Numerical Contact Analysis of Layered Rough Surfaces for Magnetic Head Slider-Disk Contact,” J. Info. Storage Proc. Syst., 22, pp. 263–280.
Chilamakuri,  S. K., and Bhushan,  B., 1998, “Contact Analysis of Non-Gaussian Random Surfaces,” Proc. Inst. Mech. Eng., Part J: J. Eng. Tribol., 212, pp. 19–32.

Figures

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Schematics of (a) three-dimensional profiles of two rough surfaces in contact with one with a layer and (b) top view of contact regions
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Schematic of a rough surface in contact with a smooth surface in the presence of a liquid film
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Flow chart of the computer program for layered surface contact analyses
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von Mises stresses on the surface and in the subsurface (at x=0.3 units, y=0) for concentrated point load contact at various values of E1/E2
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Stress components along the z-axis for spherical contact at various values of E1/E2xz is plotted at x/a0=0.5,y=0)  
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Contour of the J2/p0 for spherical contact at various values of E1/E2
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(a) Two computer generated rough surfaces, the lower surface (σ=2 nm, β* =1 μm) is generated by expanding the upper surface (σ=1 nm, β* =0.5 μm) by a factor of 2 from the center and cutting off edges at the 20×20 μm2 boundary; (b) variation of fractional contact area, maximum pressure, and relative meniscus force with layer thickness h at various values of E1/E2. These values are independent of μ.
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Profiles of contact pressures, contours of von Mises stresses on the surface, von Mises stresses on the max J2 plane, principal tensile stresses on the max σt plane and shear stresses on the max σxz plane at various layer thickness h for (a) stiffer layer (E1/E2=2), and (b) more compliant layer (E1/E2=0.5). All contours are plotted after taking natural log values of the calculated stresses expressed in kPa. Negative values of σt and σxz in the plot represent the compressive stress and shear stress along −x direction, respectively.
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Profiles of contact pressures, contours of von Mises stresses on the surface, von Mises stresses on the max J2 plane, principal tensile stresses on the max σt plane and shear stresses on the max σxz plane with σ=1 nm, β* =0.5 μm, pn/E2=4×10−6,h=1 μm at various values of E1/E2.  
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Profiles of contact pressures, contours of von Mises stresses on the surface, von Mises stresses on the max J2 plane, principal tensile stresses on the max σt plane and shear stresses on the max σxz plane with (a) σ=0.1 nm, β* =0.5 μm, pn/E2=4×10−7,h=1 μm, and (b) σ=2 nm, β* =1 μm, pn/E2=4×10−6,h=2 μm at various values of E1/E2.
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Fractional contact area as a function of pn/E2β*/σ and maximum pressure/E2 as a function of [pn/E2(σ/β*)2]1/3 at various values of E1/E2. These cases are plotted by varying σ and pn/E2, and are independent of μ.

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