Abstract
We solve an axisymmetric problem of the theory of elasticity for a half-space with a spherical foreign inclusion given a preliminary heating or subject to an autostrain. It is shown that the stresses on the surface of the half-space may exceed the stresses on the boundary of contact when the distance from the inclusion to the surface is sufficiently small. Three figures. Bibliography: 6 titles.
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Translated fromMatematicheskie Metody i Fiziko-Mekhanicheskie Polya, Issue 30, 1989, pp. 29–36.
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Smirnov, L.G., Priimak, S.V. & Fedik, I.I. Elastic stresses in a half-space with a spherical foreign inclusion. J Math Sci 63, 327–334 (1993). https://doi.org/10.1007/BF01255737
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DOI: https://doi.org/10.1007/BF01255737