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      Green's function for symmetric loading of an elastic sphere with application to contact problems

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          Abstract

          A compact form for the static Green's function for symmetric loading of an elastic sphere is derived. The expression captures the singularity in closed form using standard functions and quickly convergent series. Applications to problems involving contact between elastic spheres are discussed. An exact solution for a point load on a sphere is presented and subsequently generalized for distributed loads. Examples for constant and Hertzian-type distributed loads are provided, where the latter is also compared to the Hertz contact theory for identical spheres. The results show that the form of the loading assumed in Hertz contact theory is valid for contact angles up to about 10 degrees. For larger angles, the actual displacement is smaller and the contact surface is no longer flat.

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          Contact problem for elastic spheres: applicability of the Hertz theory to non-small contact areas

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            The Rebound of an Elastic Sphere Against a Rigid Wall

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              Contact problems for an elastic sphere

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                Author and article information

                Journal
                2012-10-16
                Article
                10.2140/jomms.2012.7.701
                1210.4375
                6d939526-4cd4-4acb-a4d8-ebf2ebbbd058

                http://arxiv.org/licenses/nonexclusive-distrib/1.0/

                History
                Custom metadata
                J. Mech. Materials Struct., 7(7), 701-719, 2012
                physics.class-ph

                Classical mechanics
                Classical mechanics

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