A finite element analysis, for an elastic perfectly plastic sphere normally loaded by a rigid flat, is combined with an approximate analytical solution to evaluate the maximum tangential load (static friction) that can be supported by the spherical contact at the inception of sliding. Sliding inception is treated as a failure mechanism based on plastic yield rather than a Coulomb friction law with a certain friction coefficient. Two different failure modes are identified, either on the contact area or below it, depending on the elastic-plastic status of the normal preloading. A limiting normal preload is found above which the contact cannot support any additional tangential load. Simple analytical expressions for an “internal static friction coefficient” are presented for both the elastic and the elastic-plastic regimes.
A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact
Contributed by the Tribology Division for publication in the ASME JOURNAL OF TRIBOLOGY. Manuscript received by the Tribology Division May 16, 2002; revised manuscript received September 12, 2002. Associate Editor: G. G. Adams.
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Kogut, L., and Etsion, I. (June 19, 2003). "A Semi-Analytical Solution for the Sliding Inception of a Spherical Contact ." ASME. J. Tribol. July 2003; 125(3): 499–506. https://doi.org/10.1115/1.1538190
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