Approximate solution for shear in nominally flat contacts under partial reverse slip

Nominally flat contacts are representative of various components like blade/disk contacts in aircraft engines. In literature, there are only numerical solutions for this class of plane contact problems under partial reverse slip conditions, when bulk stress is applied. A general shear traction distribution based on boundary conditions and the direction of slip in slip zone has been proposed to obtain closed form solution for this problem. To obtain the closed form solution for specific problem of flat base in contact with a nominally flat punch, pressure distribution had to be approximated to evaluate some integrals. An appropriate approximation valid for all ratios of flat length to edge radii has been proposed. Deviations in shear traction distribution due to this approximation was found to be very small. For sake of brevity, loading case of only bulk stress applied is presented. Copyright © 2009 by the American Institute of Aeronautics and Astronautics, Inc.