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TECHNICAL PAPERS

A Numerical Three-Dimensional Model for the Contact of Layered Elastic/Plastic Solids With Rough Surfaces by a Variational Principle

[+] 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 123(2), 330-342 (Jun 16, 2000) (13 pages) doi:10.1115/1.1308004 History: Received February 04, 2000; Revised June 16, 2000
Copyright © 2001 by ASME
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References

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Figures

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Schematics of: (a) 3D profiles of two rough surfaces in contact with one with a layer and (b) top view of contact regions
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(a) Definition of strain energy and complementary energy, (b) relationship between elastic strain energy and internal complementary energy for a linear elastic or a linear elastic–perfectly plastic material
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(a) Interference area and contact area between two spherical asperities, and (b) determination of the total prescribed displacement from geometrical interference of asperities.
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Discretization of the contacting rough surfaces: (a) 3D top view with showing one pressure location, (b) top view in space domain, and (c) top view in frequency domain
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Normalized influence coefficient matrix elements for (a) homogeneous elastic half space and (b) layered elastic half space
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Variation of the maximum influence coefficient with layer thickness h(ν12=0.3), compared with the homogeneous solution 19
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Flow chart of the computer program for layered surface dry contact
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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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Contact pressure profile beneath the rigid spherical indenter along the x axis for a layered elastic half space with different values of E1/E2, compared with the solution of 20
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(a) Layered rough surface profile and (b) contact pressures profiles for layered elastic solids with different h and E1/E2=0.5 (soft layer) in static contact
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Contact pressures profiles for layered elastic solids with different h and E1/E2=2 (hard layer) in static contact
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Variation of fractional contact area, maximum pressure, and relative meniscus force with layer thickness h for different E1/E2
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Variation of fractional contact area, maximum pressure, and relative meniscus force with normal pressure pn for different E1/E2 and fixed h
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Variation of fractional contact area, maximum pressure, and relative meniscus force with normal pressure pn for different h and E1/E2=2 (hard layer)
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Variation of fractional contact area, maximum pressure, and relative meniscus force with normal pressure pn for different h and E1/E2=0.5 (soft layer)
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Schematic of (a) two half circles in contact and (b) equivalent half ellipse in contact with a flat surface

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