An exact solution to a problem of axisymmetric torsion of an elastic space with a spherical crack

Godin, Yuri A.

doi:10.1090/qam/1359503

Author: Yuri A. Godin
Journal: Quart. Appl. Math. 53 (1995), 679-682
MSC: Primary 73C99; Secondary 73M25
DOI: https://doi.org/10.1090/qam/1359503
MathSciNet review: MR1359503
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Abstract: It is a well-known fact that the three-dimensional axisymmetric dilatation problem for an elastic space containing a spherical crack has an explicit solution, found and analyzed in [1]--[3]. The corresponding torsion problem, however, also of interest, has not apparently been investigated. To remedy this shortage we present here an exact solution to this problem, which incidentally reveals a remarkable effect concerning the stress intensity.

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