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Contact mechanics for coated spheres that includes the transition from weak to strong adhesion

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Abstract

Recently published results for a rigid spherical indenter contacting a thin, linear elastic coating on a rigid planar substrate have been extended to include the case of two contacting spheres, where each sphere is rigid and coated with a thin, linear elastic material. This is done by using an appropriately chosen effective radius and coating modulus. The earlier work has also been extended to provide analytical results that span the transition between the previously derived Derjaguin–Müller–Toporov (DMT)-like (work of adhesion/coating-modulus ratio is small) and Johnson–Kendall–Roberts (JKR)-like (work of adhesion/coating-modulus ratio is large) limits.

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Acknowledgment

This work was performed at Sandia National Laboratories. Sandia is a multiprogram laboratory operated by Sandia Corporation, a Lockheed Martin Company, for the United States Department of Energy under contract DE-AC04-94AL85000.

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Reedy, E. Contact mechanics for coated spheres that includes the transition from weak to strong adhesion. Journal of Materials Research 22, 2617–2622 (2007). https://doi.org/10.1557/jmr.2007.0329

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  • DOI: https://doi.org/10.1557/jmr.2007.0329

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