A three-dimensional axisymmetric elasticity problem pertaining to the contact stresses between a smooth rigid sphere and an infinite elastic solid with a smooth spherical cavity of the same diameter has been considered. Uniaxial loading is applied to the solid at infinity, resulting in a separation along a portion of the boundary between the sphere and the solid. The problem has been considered as a mixed boundary-value problem of elasticity. The angle of contact and the stress distributions along the contact surface are determined by solving a set of dual-series equations associated with Legendre polynomials. Numerical results are presented.
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A Contact Stress Problem for a Rigid Smooth Sphere in an Extended Elastic Solid
Research Center, The Babcock & Wilcox Company, Alliance, Ohio
Wang, I. (September 1, 1965). "A Contact Stress Problem for a Rigid Smooth Sphere in an Extended Elastic Solid." ASME. J. Appl. Mech. September 1965; 32(3): 651–655. https://doi.org/10.1115/1.3627273
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