The problem of a smooth rigid indentor under variable loading moving across a viscoelastic half-space in one direction with variable speed is considered. The motion is assumed to be frictionless and the standard linear model is adopted to describe the viscoelastic material response. An integral equation is derived and a numerical algorithm for its solution subject to appropriate subsidiary conditions is constructed. The contact interval length, pressure, and coefficient of hysteretic friction are presented and the results discussed.
Hysteretic Friction for the Transient Rolling Contact Problem of Linear Viscoelasticity
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, October 3, 1997; final revision, September 27, 2000. Associate Editor: J. T. Jenkins. Discussion on the paper should be addressed to the Editor, Professor Lewis T. Wheeler, Department of Mechanical Engineering, University of Houston, Houston, TX 77204-4792, and will be accepted until four months after final publication of the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
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Chertok, D. L., Golden, J. M., and Graham, G. A. C. (September 27, 2000). "Hysteretic Friction for the Transient Rolling Contact Problem of Linear Viscoelasticity ." ASME. J. Appl. Mech. July 2001; 68(4): 589–595. https://doi.org/10.1115/1.1354622
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