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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 1
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Articles

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

Pages 61-74 | Received 25 Feb 2019, Accepted 27 Feb 2019, Published online: 19 Mar 2019
 

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.

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No potential conflict of interest was reported by the authors.

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