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On the Pressure Dependence of Shear Strengths in Sliding, Boundary-Layer Friction

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Abstract

Density functional theory, as implemented in a full-potential linearized augmented plane wave method, flair, is used to calculated the pressure-dependent shear strength S of KCl on a Fe(100) substrate and the results are compared to the experimental dependence given by \( S = S_{0} + \alpha P \), where P is the contact pressure and S 0 = 65 ± 5 MPa and α = 0.14 ± 0.02. Calculations were performed for a KCl bilayer enclosed between two Fe(100) slabs, where the energy was found to vary harmonically as a function of the separation between the outermost layers. Thus, a simple analytical model was developed for the pressure-dependent shear strength of the film, which includes both linear and quadratic pressure dependence. However, the coefficient of the quadratic term was found to be much smaller than the linear term, leading to the linear shear-strength pressure dependence found experimentally. The calculated values of S 0 〈10〉 = 64 ± 9 and S 0 〈11〉 = 69 ± 8 MPa are in excellent agreement with experiment, while α 〈10〉 and α 〈11〉 equal 0.05 ± 0.01, somewhat lower than, but within the same range as the experimental values.

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Acknowledgments

This study was supported by the National Science Foundation under Grant No. CHE-0654276 and the Office of Naval Research.

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Authors and Affiliations

  1. Department of Chemistry and Biochemistry and Laboratory for Surface Studies, University of Wisconsin-Milwaukee, 3210 N Cramer Street, Milwaukee, WI, 53211, USA

    Michael Garvey & Wilfred T. Tysoe

  2. Department of Physics and Laboratory for Surface Studies, University of Wisconsin-Milwaukee, 2200 E. Kenwood Blvd, Milwaukee, WI, 53211, USA

    Michael Weinert

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  1. Michael Garvey
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Correspondence to Wilfred T. Tysoe.

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Garvey, M., Weinert, M. & Tysoe, W.T. On the Pressure Dependence of Shear Strengths in Sliding, Boundary-Layer Friction. Tribol Lett 44, 67–73 (2011). https://doi.org/10.1007/s11249-011-9827-1

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