The Contact Problem of a Plate Pressed Between Two Spheres

[+] Author and Article Information
Yih-O Tu, D. C. Gazis

International Business Machines Corporation, Thomas J. Watson Research Center, Yorktown Heights, N. Y.

J. Appl. Mech 31(4), 659-666 (Dec 01, 1964) (8 pages) doi:10.1115/1.3629728 History: Received September 16, 1963; Online September 15, 2011


The elastic contact of a plate with two axisymmetric bodies, generally of dissimilar elastic properties and curvatures, is considered. The solution of the resulting two integral equations is given as a truncated series of Legendre polynomials of even order whose coefficients may be determined from a system of linear algebraic equations. The relationships between the total load, radii of curvature of the bodies, contact radii, approach, radial displacements, maximum contact stress, and the plate thickness can then be computed in terms of these coefficients. Numerical computations have been carried out for the contact of a plate with two identical spheres.

Copyright © 1964 by ASME
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