Dynamic Contact of a Rigid Sphere With an Elastic Half-Space: A Numerical Simulation

[+] Author and Article Information
Jeffrey L. Streator

G. W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Tribol 125(1), 25-32 (Dec 31, 2002) (8 pages) doi:10.1115/1.1509772 History: Received February 21, 2002; Revised July 01, 2002; Online December 31, 2002
Copyright © 2003 by ASME
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Schematic of the interface under investigation, a rigid sphere and an elastic half-space, along with coordinate systems
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Illustration of grid system used for numerical computations (see text)
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Trajectories of the sphere and half-space origin during an approach-separation event, along with the force history
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(a) Radial profile of the sphere and surface along with the radial pressure distribution at t*=400 for the approach conditions of Fig. 3; and (b) pressure profile at t*=1600 compared with the corresponding Hertzian pressure profile. Sphere motion was arrested at maximum interference point (t*=400).
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The ratio of maximum compressive forces to the Hertzian force versus Tabor’s parameter for two approach-separation speeds
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Maximum attractive forces during approach and separation versus Tabor’s parameter at two approach-separation speeds, compared to the DMT and JKR model predictions
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Pull-off force versus approach-separation speeds for three values of interference for μ=0.1
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Net energy transfer to the half-space during the approach-separation event versus Tabor’s parameter
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Force histories for an approach-rest-separation process for two values of Tabor’s parameter
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Time history of a snap on process with the sphere position fixed. Profiles of the elastic half-space are shown for various times.




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