An approximate solution is given for the contact problem of an elastic hollow sphere indenting a solid sphere or cup with axial symmetry. The elastic deflection, maximum stress and contact radius are graphically presented as functions of a dimensionless load using hollowness ratios as parameter for the particular case that the two contacting bodies are of the same material. The numerical results include the Hertz theory as a limiting case for small hollowness ratio.
On the Axial Symmetric Contact Problem Involving Elastic Hollow Spheres
Y. P. Chiu
SKF Industries, Research Laboratory, King of Prussia, Pa.
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Chiu, Y. P. (July 1, 1975). "On the Axial Symmetric Contact Problem Involving Elastic Hollow Spheres." ASME. J. of Lubrication Tech. July 1975; 97(3): 526–531. https://doi.org/10.1115/1.3452660
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