The shrink-fit problem with both components being elastic

Abstract The shrink-fit assembly consists of an elastic collar of finite length and an elastic solid or hollow cylinder of infinite length. Infinite, in this case, merely means that the shaft is sufficiently long for the localised self-equilibrating stress systems due to the interference between the two components to decay to zero. For a solid cylinder this is about three or four times the radius and slightly more for a hollow cylinder. Only the fully slipped case is examined and the lack-of-fit or relative displacement is kept constant along the contact interface. An influence coefficient method is used to represent the governing integral equation. The displacement influence coefficients are derived by considering the appropriate boundary value problem for each component. Solutions obtained indicate that the stress singularity common to rigid-elastic shrink-fit cases still exists and that, when the length of the contact region is sufficiently long then the interference pressure in the central portion of the contact region is almost the same as the Lame plane stress solution for a cross section of the same dimensions.

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