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Stress distribution near a penny-shaped crack on an off-diametral plane in a sphere

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The singular stress problem of a penny-shaped crack situated symmetrically on an off-diametral plane of a sphere is presented in this paper when the surface of the crack is subjected… Click to show full abstract

The singular stress problem of a penny-shaped crack situated symmetrically on an off-diametral plane of a sphere is presented in this paper when the surface of the crack is subjected to a known pressure. The problem is solved by using integral transforms and is reduced to the solution of a Fredholm integral equation of the second kind. It is shown that the present solution agrees with already known solution when the off-diametral plane becomes the diametral plane.

Keywords: penny shaped; plane sphere; diametral plane; shaped crack; plane

Journal Title: Applicable Analysis
Year Published: 2019

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